Chaotic Dynamics: Theory: Complexity, Control and Data Representation: Complexity and Unpredictable Scaling of Hierarchical Structures; R. Badii. Fractals, Multifractals, and Analyticity of Normal Forms: Multifractal Coding Measures in Dynamics; G. Mantica. Integrability, Painleve Property, and Singularity Analysis: Note on a Complex Eckhaus Equation; M.F. Jorgensen, et al.. Statistical Physics, Celestial Mechanics, and Cosmology: Phase Transitions Within the Fully Developed Regime; R. Kluiving. Chaotic Dynamics: Practice: Controlling Dynamical Systems: Feedback Control of Chaotic Systems; . Romeiras et al.. Semiconductors, Superconductors, Lasers, and Electronic Circuits: Chaotic Dynamics in Practice; E. Del Rio, et al . Biology, Chemistry, Atmospheric, and Magnetospheric Dynamics: Irregular Bursting in Model Neurones; J. Hyde. Hamiltonian Dynamics, Dissipative Dynamics, and Normal Forms. 30 additional articles. Index.

Everyone needs a helping hand or word of guidance to help navigate their way through life's ups and downs, joys and sorrows. Wise angel messages can provide comfort and bring a smile to everyone who accepts the blessings of these celestial beings. Amongst these 50 messages from angels, you will find will support and motivation for your spiritual journey. Each message features a story, prayer, visualisation or meditation, for personal solace and happiness.

An impressive collection of the latest cutting-edge work in the dynamic field of intellectual capital. Experts from around the world discuss the current state of affairs from a variety of perspectives, providing a cross-disciplinary view of the field. All contributors presented their research at the top global conference in this field - the World Congress on Intellectual Capital. The underlying theme of the book is to explain how an organization can identify, measure, manage, leverage and act upon its collective intelligence towards the pursuit of sustainable innovation. The book is divided into three main parts which first establish a foundation of literature, then examine various measurement approaches and finally conclude with a variety of applications."This collection of papers from the conference is special for its seminal research, strategic visions, and thought-provoking discussions. Make sure this book has a place in your library!"Dr. Jac Fitz-enz, Founder and Chairman, Saratoga Institute

Introduction: From Fluid Particles to Physical Particles; M. Mareschal, B.L. Holian. Non-Equilibrium Molecular Dynamics: Theoretical Foundation and Rheological Application of NonEquilibrium Molecular Dynamics; G. Ciccotti, et al. Lattice Gases: Lattice Boltzmann Simulation of High Reynolds Number Fluid Flow in Two Dimensions; G. McNamara, B.J. Alder. Other Simulation Methods: A Contemporary Implementation of the Direct Simulation Monte Carlo Method; G.A. Bird. Chaos, Turbulence, and Irreversibility: Lyapunov Exponents and Bulk Transport Coefficients; D. Evans, et al. Related Topics: Statistical Fracture Mechanics; A. Chudnovsky, B. Kunin. Recollections: The Long Time Tail Story; B.J. Adler. 22 additional articles. Index.

This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School “Dynamical Systems and Complexity”, July 18 – 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world.

This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. The role of nonlinear normal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena and distinguish order from strongly and weakly chaotic regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored in particular in the concrete setting of one-dimensional Hamiltonian lattices and physical applications in condensed matter systems. The self-contained and pedagogical approach is blended with a unique balance between mathematical rigor, physics insights and concrete applications. End of chapter exercises and (more demanding) research oriented problems provide many opportunities to deepen the reader 's insights into specific aspects of the subject matter.Addressing a broad audience of graduate students, theoretical physicists and applied mathematicians, this text combines the benefits of a reference work with those of a self-study guide for newcomers to the field.

This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. The role of nonlinear normal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena and distinguish order from strongly and weakly chaotic regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored in particular in the concrete setting of one-dimensional Hamiltonian lattices and physical applications in condensed matter systems. The self-contained and pedagogical approach is blended with a unique balance between mathematical rigor, physics insights and concrete applications. End of chapter exercises and (more demanding) research oriented problems provide many opportunities to deepen the reader's insights into specific aspects of the subject matter. Addressing a broad audience of graduate students, theoretical physicists and applied mathematicians, this text combines the benefits of a reference work with those of a self-study guide for newcomers to the field.

Many conferences, meetings, workshops, summer schools and symposia on nonlinear dynamical systems are being organized these days, dealing with a great variety of topics and themes -classical and quantum, theoretical and experimental. Some focus on integrability, or discuss the mathematical foundations of chaos. Others explore the beauty of fractals, or examine endless possibilities of applications to problems of physics, chemistry, biology and other sciences. A new scientific discipline has thus emerged, with its own distinct philosophical viewpoint and an impressive arsenal of new methods and techniques, which may be called Chaotic Dynamics. Perhaps its most outstanding achievement so far has been to shed new light on many long standing issues involving complicated, irregular or "chaotic" nonlinear phenomena. The concepts of randomness, complexity and unpredictability have been critically re-examined and the fundamental importance of scaling, self-similarity and sensitive dependence on parameters and initial conditions has been firmly established. In this NATO ASI, held at the seaside Greek city of Patras, between July 11- 20, 1991, a serious effort was made to bring together scientists representing many of the different aspects of Chaotic Dynamics. Our main aim was to review recent advances, evaluate the current state of the art and identify some of the more promising directions for research in Chaotic Dynamics.

Charge transport through the transfer of protons between molecules has long been recognized as a fundamental process, which plays an important role in many chemical reactions. In particular, proton transfer through Hydrogen (H-) bonds has been identified as the main mechanism, via which many bio logical functions are performed and many properties of such basic substances as proteins and ice can be understood. In this volume, several of these important aspects of the H-bond are rep resented. As the division in different sections already indicates, present day research in proton teansfer in biochemistry, biology, and the physics of water and ice remains highly active and very exciting. Nearly a decade ago, a novel approach to the study of collective proton motion in H-bonded systems was proposed, in which this phenomenon was explained by the propagation of certain coherent structures called solitons. In the years that followed, the approach ofsoliton dynamics was further extended and developed by many researchers around the world, into a legitimate and useful method for the analysis of proton transfer in H-bonded systems. Dr. Stephanos Pnevmatikos, the original Director of this ARW, was one of the pioneers in the application ofsoliton ideas to the study ofcharge transport through H-bonds. Having used similar concepts himself in his research on 2D lattices) he was convinced energy transfer through molecular chains (and that solitons can play an important role in enhancing our understanding of protonic conductivity.

Cooking for kids can be a challenging experience. Children can be unwilling to try new flavours, and may be more enthusiastic about junk food than meals that you consider to be healthy and nutritionally balanced. However, Cook's Library Cooking for Kids offers over 60 simple recipes for great home cooking, so you can compete with peer group pressure. Food should be fun and if you present it in an appealing way and encourage children to help when you are cooking, they will want to eat what they have made - and YOU can decide on the ingredients used.

Speeches that Made History is a collection of speeches, addresses, declarations and announcements that have shaped history. Some have changed the way people think, others have changed the course of events across the globe - sometimes for the better, at other times with devastating results. From Descartes' 'Discourse on Method' to Gandhi's speech about the 'seven social sins', and Barack Obama's Inaugural Address to Karl Marx's preamble to 'The Communist Manifesto', here are the words that have inspired people, forged ideologies and shaped nations. Chapters: Ancient History Love Religion Science Patriotism Philosophy Humanity & Liberty Sport Politics War Miscellaneous