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Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science

Quantum Chaos - Between Order and Disorder (Hardcover): Giulio Casati, Boris Chirikov Quantum Chaos - Between Order and Disorder (Hardcover)
Giulio Casati, Boris Chirikov
R4,861 R4,101 Discovery Miles 41 010 Save R760 (16%) Ships in 10 - 15 working days

This book represents a comprehensive overview of our present understanding of chaotic behavior in a wide variety of quantum and semiclassical systems, and describes both experimental and theoretical investigations. A general introduction sets out the main features of chaos in quantum systems. Thereafter, in an authoritative collection of new or previously published papers, prominent scientists put forward their particular interpretations of quantum chaos with reference to a broad range of interesting physical systems.

Advances in the Control of Nonlinear Systems (Paperback, 2001 ed.): Alfonso Banos, Francoise Lamnabhi-Lagarrigue, Francisco J.... Advances in the Control of Nonlinear Systems (Paperback, 2001 ed.)
Alfonso Banos, Francoise Lamnabhi-Lagarrigue, Francisco J. Montoya
R2,764 Discovery Miles 27 640 Ships in 18 - 22 working days

This volume is based on the course notes of the 2nd NCN Pedagogical School, the second in the series of Pedagogical Schools in the frame work of the European TMR project, "Breakthrough in the control of nonlinear systems (Nonlinear Control Network)". The school consists of four courses that have been chosen to give a broad range of techniques for the analysis and synthesis of nonlinear control systems, and have been developed by leading experts in the field. The topics covered are: Differential Algebraic Methods in Nonlinear Systems; Nonlinear QFT; Hybrid Systems; Physics in Control.The book has a pedagogical character, and is specially directed to postgraduates in most areas of engineering and applied sciences like mathematics and physics. It will also be of interest to researchers and practitioners needing a solid introduction to the above topics.

Nonlinear Control in the Year 2000 - Volume 2 (Paperback, 2001 ed.): Alberto Isidori, Francoise Lamnabhi-Lagarrigue, Witold... Nonlinear Control in the Year 2000 - Volume 2 (Paperback, 2001 ed.)
Alberto Isidori, Francoise Lamnabhi-Lagarrigue, Witold Respondek
R1,503 Discovery Miles 15 030 Ships in 18 - 22 working days

Control of nonlinear systems, one of the most active research areas in control theory, has always been a domain of natural convergence of research interests in applied mathematics and control engineering. The theory has developed from the early phase of its history, when the basic tool was essentially only the Lyapunov second method, to the present day, where the mathematics ranges from differential geometry, calculus of variations, ordinary and partial differential equations, functional analysis, abstract algebra and stochastic processes, while the applications to advanced engineering design span a wide variety of topics, which include nonlinear controllability and observability, optimal control, state estimation, stability and stabilization, feedback equivalence, motion planning, noninteracting control, disturbance attenuation, asymptotic tracking. The reader will find in the book methods and results which cover a wide variety of problems: starting from pure mathematics (like recent fundamental results on (non)analycity of small balls and the distance function), through its applications to all just mentioned topics of nonlinear control, up to industrial applications of nonlinear control algorithms.

Nonlinear Control in the Year 2000 - Volume 1 (Paperback, 2001 ed.): Alberto Isidori, Francoise Lamnabhi-Lagarrigue, Witold... Nonlinear Control in the Year 2000 - Volume 1 (Paperback, 2001 ed.)
Alberto Isidori, Francoise Lamnabhi-Lagarrigue, Witold Respondek
R5,402 Discovery Miles 54 020 Ships in 18 - 22 working days

Control of nonlinear systems, one of the most active research areas in control theory, has always been a domain of natural convergence of research interests in applied mathematics and control engineering. The theory has developed from the early phase of its history, when the basic tool was essentially only the Lyapunov second method, to the present day, where the mathematics ranges from differential geometry, calculus of variations, ordinary and partial differential equations, functional analysis, abstract algebra and stochastic processes, while the applications to advanced engineering design span a wide variety of topics, which include nonlinear controllability and observability, optimal control, state estimation, stability and stabilization, feedback equivalence, motion planning, noninteracting control, disturbance attenuation, asymptotic tracking. The reader will find in the book methods and results which cover a wide variety of problems: starting from pure mathematics (like recent fundamental results on (non)analycity of small balls and the distance function), through its applications to all just mentioned topics of nonlinear control, up to industrial applications of nonlinear control algorithms.

Non-linear Control Based on Physical Models - Electrical, Mechanical and Hydraulic Systems (Paperback, Edition. ed.): Andreas... Non-linear Control Based on Physical Models - Electrical, Mechanical and Hydraulic Systems (Paperback, Edition. ed.)
Andreas Kugi
R1,380 Discovery Miles 13 800 Ships in 18 - 22 working days

This book combines real problems of practical interest with an application of profound theory. The mathematical model is derived step by step on the basis of physical principles, and the physics behind the control problems serves as a basis for the controller design. The book demonstrates how the physics behind the mathematical models can help to successfully apply a certain control strategy. The book aims to show the practical relevance of the presented methods, methods which are often criticised as only of theoretical interest, through an examination of their industrial applications. Throughout, the book gives the unique mathematical formulation of the different disciplines involved, namely electrical, hydraulic and mechanical engineering. Yet it also points out the common mathematical structure of the different physical models. This makes it possible to transfer reliable control strategies between the disciplines.

Conditional Moment Estimation of Nonlinear Equation Systems - With an Application to an Oligopoly Model of Cooperative R&D... Conditional Moment Estimation of Nonlinear Equation Systems - With an Application to an Oligopoly Model of Cooperative R&D (Paperback, Softcover reprint of the original 1st ed. 2001)
Joachim Inkmann
R1,390 Discovery Miles 13 900 Ships in 18 - 22 working days

Generalized method of moments (GMM) estimation of nonlinear systems has two important advantages over conventional maximum likelihood (ML) estimation: GMM estimation usually requires less restrictive distributional assumptions and remains computationally attractive when ML estimation becomes burdensome or even impossible. This book presents an in-depth treatment of the conditional moment approach to GMM estimation of models frequently encountered in applied microeconometrics. It covers both large sample and small sample properties of conditional moment estimators and provides an application to empirical industrial organization. With its comprehensive and up-to-date coverage of the subject which includes topics like bootstrapping and empirical likelihood techniques, the book addresses scientists, graduate students and professionals in applied econometrics.

Constructive Nonsmooth Analysis and Related Topics (Hardcover, 2014): Vladimir F. Dem'yanov, Panos M. Pardalos, Mikhail... Constructive Nonsmooth Analysis and Related Topics (Hardcover, 2014)
Vladimir F. Dem'yanov, Panos M. Pardalos, Mikhail Batsyn
R3,403 Discovery Miles 34 030 Ships in 10 - 15 working days

This volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. This conference was organized to mark the 50th anniversary of the birth of nonsmooth analysis and nondifferentiable optimization and was dedicated to J.-J. Moreau and the late B.N. Pshenichnyi, A.M. Rubinov, and N.Z. Shor, whose contributions to NSA and NDO remain invaluable. The first four chapters of the book are devoted to the theory of nonsmooth analysis. Chapters 5-8 contain new results in nonsmooth mechanics and calculus of variations. Chapters 9-13 are related to nondifferentiable optimization, and the volume concludes with four chapters containing interesting and important historical chapters, including tributes to three giants of nonsmooth analysis, convexity, and optimization: Alexandr Alexandrov, Leonid Kantorovich, and Alex Rubinov. The last chapter provides an overview and important snapshots of the 50-year history of convex analysis and optimization.

Nonlinear Systems (Paperback, New): P. G. Drazin Nonlinear Systems (Paperback, New)
P. G. Drazin
R1,842 Discovery Miles 18 420 Ships in 10 - 15 working days

A coherent treatment of nonlinear systems covering chaos, fractals, and bifurcation, as well as equilibrium, stability, and nonlinear oscillations. The systems treated are mostly of difference and differential equations. The author introduces the mathematical properties of nonlinear systems as an integrated theory, rather than simply presenting isolated fashionable topics. The topics are discussed in as concrete a way as possible, worked examples and problems are used to motivate and illustrate the general principles. More advanced parts of the text are denoted by asterisks, thus making it ideally suited to both undergraduate and graduate courses.

International Conference on Theory and Application in Nonlinear Dynamics  (ICAND 2012) (Hardcover, 2014 ed.): Visarath In,... International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012) (Hardcover, 2014 ed.)
Visarath In, Antonio Palacios, Patrick Longhini
R4,752 Discovery Miles 47 520 Ships in 10 - 15 working days

A collection of different lectures presented by experts in the field of nonlinear science provides the reader with contemporary, cutting-edge, research works that bridge the gap between theory and device realizations of nonlinear phenomena.

Representative examples of topics covered include: chaos gates, social networks, communication, sensors, lasers, molecular motors, biomedical anomalies, stochastic resonance, nano-oscillators for generating microwave signals and related complex systems. A common theme among these and many other related lectures is to model, study, understand, and exploit the rich behavior exhibited by nonlinear systems to design and fabricate novel technologies with superior characteristics. Consider, for instance, the fact that a shark s sensitivity to electric fields is 400 times more powerful than the most sophisticated electric-field sensor. In spite of significant advances in material properties, in many cases it remains a daunting task to duplicate the superior signal processing capabilities of most animals. Since nonlinear systems tend to be highly sensitive to perturbations when they occur near the onset of a bifurcation, there are also lectures on the general topic of bifurcation theory and on how to exploit such bifurcations for signal enhancements purposes. This manuscript will appeal to researchers interested in both theory and implementations of nonlinear systems.

Nonlinear Control of Wheeled Mobile Robots (Paperback, 2001 ed.): Warren E. Dixon, Darren M. Dawson, Erkan Zergeroglu, Aman... Nonlinear Control of Wheeled Mobile Robots (Paperback, 2001 ed.)
Warren E. Dixon, Darren M. Dawson, Erkan Zergeroglu, Aman Behal
R2,696 Discovery Miles 26 960 Ships in 18 - 22 working days

This book examines the control problem for wheeled mobile robots. Several novel control strategies are developed and the stability of each controller is examined utilizing Lyapunov techniques. The performance of each controller is either illustrated through simulation results or experimental results. The final chapter describes how the control techniques developed for wheeled mobile robots can be applied to solve other problems with similar governing differential equations (e.g., twin rotor helicopters, surface vessels). Several appendices are included to provide the reader with the mathematical background utilized in the control development and stability analysis. Two appendices are also included that provide specific details with regard to the modifications that were done to commercially available mobile robots (e.g., a K2A manufactured by Cybermotion Inc. and a Pioneer II manufactured by Activemedia) to experimentally demonstrate the performance of the torque input controllers.

Performance Analysis of Flow Lines with Non-Linear Flow of Material (Paperback, Softcover reprint of the original 1st ed.... Performance Analysis of Flow Lines with Non-Linear Flow of Material (Paperback, Softcover reprint of the original 1st ed. 1999)
Stefan Helber
R1,406 Discovery Miles 14 060 Ships in 18 - 22 working days

Flow line design is one of the major tasks in production management. The decision to install a set of machines and buffers is often highly irreversible. It determines both cost and revenue to a large extent. In order to assess the economic impact of any possible flow line design, production rates and inventory levels have to be estimated. These performance measures depend on the allocation of buffers whenever the flow of material is occasionally disrupted, for example due to machine failures or quality problems. The book describes analytical methods that can be used to evaluate flow lines much faster than with simulation techniques. Based on these fast analytical techniques, it is possible to determine a flow line design that maximizes the net present value of the flow line investment. The flow of material through the line may be non-linear, for example due to assembly operations or quality inspections.

New Directions in Nonlinear Observer Design (Paperback, Edition. ed.): Henk Nijmeijer, Thor I. Fossen New Directions in Nonlinear Observer Design (Paperback, Edition. ed.)
Henk Nijmeijer, Thor I. Fossen
R2,723 Discovery Miles 27 230 Ships in 18 - 22 working days

The past decade has witnessed an increasing interest in observers for nonlinear systems. This subject is relevant in different contexts such as synchronization of complex dynamical systems, fault detection and isolation, and output feedback control. This book contains the contributions that are to be presented at the workshop "New Directions in Nonlinear Observer Design", to be held from June 24-26, 1999, in Geiranger Fjord, Norway. The workshop has been organised by Olav Egeland, Thor I. Fossen and Henk Nijmeijer; it will include participants from Africa, Asia, Europe and USA and it will focus on recent developments in the above mentioned areas. The contributions form a good review of present achievements and challenges in nonlinear observer design. The workshop is supported by the Strategic University Program on Marine Cybernetics at the Norwegian University of Science and Technology and ABB.

Chaos for Engineers - Theory, Applications, and Control (Paperback, 2nd rev. ed. 2000): Tomasz Kapitaniak Chaos for Engineers - Theory, Applications, and Control (Paperback, 2nd rev. ed. 2000)
Tomasz Kapitaniak
R1,420 Discovery Miles 14 200 Ships in 18 - 22 working days

Chaos occurs widely in both natural and man-made systems. Recently, examples of the potential usefulness of chaotic behavior have caused growing interest among engineers and applied scientists. In this book the new mathematical ideas in nonlinear dynamics are described in such a way that engineers can apply them to real physical systems.
From a review of the first edition by Prof. El Naschie, University of Cambridge: "Small is beautiful and not only that, it is comprehensive as well. These are the spontaneous thoughts which came to my mind after browsing in this latest book by Prof. Thomas Kapitaniak, probably one of the most outstanding scientists working on engineering applications of Nonlinear Dynamics and Chaos today. A more careful reading reinforced this first impression....The presentation is lucid and user friendly with theory, examples, and exercises."

Fundamentals of Spacecraft Attitude Determination and Control (Hardcover, 2014 ed.): F. Landis Markley, John L. Crassidis Fundamentals of Spacecraft Attitude Determination and Control (Hardcover, 2014 ed.)
F. Landis Markley, John L. Crassidis
R3,339 Discovery Miles 33 390 Ships in 10 - 15 working days

This book explores topics that are central to the field of spacecraft attitude determination and control. The authors provide rigorous theoretical derivations of significant algorithms accompanied by a generous amount of qualitative discussions of the subject matter. The book documents the development of the important concepts and methods in a manner accessible to practicing engineers, graduate-level engineering students and applied mathematicians. It includes detailed examples from actual mission designs to help ease the transition from theory to practice and also provides prototype algorithms that are readily available on the author's website.

Subject matter includes both theoretical derivations and practical implementation of spacecraft attitude determination and control systems. It provides detailed derivations for attitude kinematics and dynamics and provides detailed description of the most widely used attitude parameterization, the quaternion. This title alsoprovides a thorough treatise of attitude dynamics including Jacobian elliptical functions. It is the first known book to provide detailed derivations and explanations of state attitude determination and gives readers real-world examples from actual working spacecraft missions. The subject matter is chosen to fill the void of existing textbooks and treatises, especially in state and dynamics attitude determination. MATLAB code of all examples will be provided through an external website."

Solving Nonlinear Partial Differential Equations with Maple and Mathematica (Hardcover, 2011 ed.): Inna Shingareva, Carlos... Solving Nonlinear Partial Differential Equations with Maple and Mathematica (Hardcover, 2011 ed.)
Inna Shingareva, Carlos Lizarraga-Celaya
R3,026 R1,845 Discovery Miles 18 450 Save R1,181 (39%) Ships in 9 - 17 working days

The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject. Among a big number of CAS, we choose the two systems, Maple and Mathematica, that are used worldwide by students, research mathematicians, scientists, and engineers. As in the our previous books, we propose the idea to use in parallel both systems, Maple and Mathematica, since in many research problems frequently it is required to compare independent results obtained by using different computer algebra systems, Maple and/or Mathematica, at all stages of the solution process. One of the main points (related to CAS) is based on the implementation of a whole solution method (e.g. starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g. with asymptotic solution).

Methods of Mathematical Modelling and Computation for Complex Systems (Hardcover, 1st ed. 2022): Jagdev Singh, Hemen Dutta,... Methods of Mathematical Modelling and Computation for Complex Systems (Hardcover, 1st ed. 2022)
Jagdev Singh, Hemen Dutta, Devendra Kumar, Dumitru Baleanu, Jordan Hristov
R4,334 Discovery Miles 43 340 Ships in 10 - 15 working days

This book contains several contemporary topics in the areas of mathematical modelling and computation for complex systems. The readers find several new mathematical methods, mathematical models and computational techniques having significant relevance in studying various complex systems. The chapters aim to enrich the understanding of topics presented by carefully discussing the associated problems and issues, possible solutions and their applications or relevance in other scientific areas of study and research. The book is a valuable resource for graduate students, researchers and educators in understanding and studying various new aspects associated with complex systems. Key Feature * The chapters include theory and application in a mix and balanced way. * Readers find reasonable details of developments concerning a topic included in this book. * The text is emphasized to present in self-contained manner with inclusion of new research problems and questions.

Grid-based Nonlinear Estimation and Its Applications (Hardcover): Bin Jia, Ming Xin Grid-based Nonlinear Estimation and Its Applications (Hardcover)
Bin Jia, Ming Xin
R5,340 Discovery Miles 53 400 Ships in 10 - 15 working days

Grid-based Nonlinear Estimation and its Applications presents new Bayesian nonlinear estimation techniques developed in the last two decades. Grid-based estimation techniques are based on efficient and precise numerical integration rules to improve performance of the traditional Kalman filtering based estimation for nonlinear and uncertainty dynamic systems. The unscented Kalman filter, Gauss-Hermite quadrature filter, cubature Kalman filter, sparse-grid quadrature filter, and many other numerical grid-based filtering techniques have been introduced and compared in this book. Theoretical analysis and numerical simulations are provided to show the relationships and distinct features of different estimation techniques. To assist the exposition of the filtering concept, preliminary mathematical review is provided. In addition, rather than merely considering the single sensor estimation, multiple sensor estimation, including the centralized and decentralized estimation, is included. Different decentralized estimation strategies, including consensus, diffusion, and covariance intersection, are investigated. Diverse engineering applications, such as uncertainty propagation, target tracking, guidance, navigation, and control, are presented to illustrate the performance of different grid-based estimation techniques.

Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems (Paperback, Softcover reprint of the... Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems (Paperback, Softcover reprint of the original 1st ed. 1984)
D.B. Ingham, M A Kelmanson
R2,629 Discovery Miles 26 290 Ships in 18 - 22 working days

Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques. In the last decade there has been a rapid increase in the application of integral equation techniques for the numerical solution of such problems [1,2,3]. One such method is the boundary integral equation method (BIE) which is based on Green's Formula [4] and enables one to reformulate certain BVP as integral equations. The reformulation has the effect of reducing the dimension of the problem by one. Because discretisation occurs only on the boundary in the BIE the system of equations generated by a BIE is considerably smaller than that generated by an equivalent finite difference (FD) or finite element (FE) approximation [5]. Application of the BIE in the field of fluid mechanics has in the past been limited almost entirely to the solution of harmonic problems concerning potential flows around selected geometries [3,6,7]. Little work seems to have been done on direct integral equation solution of viscous flow problems. Coleman [8] solves the biharmonic equation describing slow flow between two semi infinite parallel plates using a complex variable approach but does not consider the effects of singularities arising in the solution domain. Since the vorticity at any singularity becomes unbounded then the methods presented in [8] cannot achieve accurate results throughout the entire flow field.

Advances in Hamiltonian Systems (Paperback): Aubin, Bensoussan, Ekeland Advances in Hamiltonian Systems (Paperback)
Aubin, Bensoussan, Ekeland
R1,402 Discovery Miles 14 020 Ships in 18 - 22 working days
Ergodic Theory and Dynamical Systems II - Proceedings Special Year, Maryland 1979-80 (Paperback, Softcover reprint of the... Ergodic Theory and Dynamical Systems II - Proceedings Special Year, Maryland 1979-80 (Paperback, Softcover reprint of the original 1st ed. 1982)
Katok
R1,407 Discovery Miles 14 070 Ships in 18 - 22 working days
Global Analysis - Proceedings of the Biennial Seminar of the Canadian Mathematical Congress, Calgary, Alberta, June 12-27, 1978... Global Analysis - Proceedings of the Biennial Seminar of the Canadian Mathematical Congress, Calgary, Alberta, June 12-27, 1978 (Paperback, 1979 ed.)
M. Grmela, J.E. Marsden
R1,229 Discovery Miles 12 290 Ships in 18 - 22 working days
Ergodic Theory - Proceedings, Oberwolfach, Germany, June, 11-17, 1978 (Paperback, 1979 ed.): M. Denker, K Jacobs Ergodic Theory - Proceedings, Oberwolfach, Germany, June, 11-17, 1978 (Paperback, 1979 ed.)
M. Denker, K Jacobs
R1,795 Discovery Miles 17 950 Ships in 18 - 22 working days

Dedicated to the Memory of Rufus Bowen (1947-1978)

Seminar on Differential Equations and Dynamical Systems - Part 2: Seminar Lectures at the University of Maryland 1969... Seminar on Differential Equations and Dynamical Systems - Part 2: Seminar Lectures at the University of Maryland 1969 (Paperback, 1970 ed.)
James A. Yorke
R1,281 Discovery Miles 12 810 Ships in 18 - 22 working days
An Introduction to Nonlinear Functional Analysis and Elliptic Problems (Hardcover, 2011): Antonio Ambrosetti, David Arcoya... An Introduction to Nonlinear Functional Analysis and Elliptic Problems (Hardcover, 2011)
Antonio Ambrosetti, David Arcoya Alvarez
R2,204 Discovery Miles 22 040 Ships in 18 - 22 working days

This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases.

Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.

Kam Story, The: A Friendly Introduction To The Content, History, And Significance Of Classical Kolmogorov-arnold-moser Theory... Kam Story, The: A Friendly Introduction To The Content, History, And Significance Of Classical Kolmogorov-arnold-moser Theory (Hardcover)
H. Scott Dumas
R1,880 Discovery Miles 18 800 Ships in 10 - 15 working days

This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history or philosophy of science.The scope of the book is broad: it not only describes KAM theory in some detail, but also presents its historical context (thus showing why it was a "breakthrough"). Also discussed are applications of KAM theory (especially to celestial mechanics and statistical mechanics) and the parts of mathematics and physics in which KAM theory resides (dynamical systems, classical mechanics, and Hamiltonian perturbation theory).Although a number of sources on KAM theory are now available for experts, this book attempts to fill a long-standing gap at a more descriptive level. It stands out very clearly from existing publications on KAM theory because it leads the reader through an accessible account of the theory and places it in its proper context in mathematics, physics, and the history of science.

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