This volume presents lectures delivered at a workshop held at the Chinese Academy of Sciences (Bejing). The following articles are included: Nonlinear Systems Control by R. Brockett, Adaptive Control of Discrete-Time Nonlinear Systems with Structural Uncertainties by L.-L. Xie and L. Guo, Networks and Learning by P.R. Kumar, Mathematical Aspects of the Power Control Problem in Mobile Communication Systems by C.W. Sung and W.S. Wong, and Brockett's Problem on Nonlinear Filtering Theory by S.S.-T. Yau. Basic concepts and current research are both presented in the book. The volume offers a comprehensive and easy-to-follow account of many fundamental issues in this diverse field. It should be a suitable text for a graduate course on wireless communication. interested in operations research and mathematical programming.

This book highlights the methods to engineer dissipative and magnetic nonlinear waves propagating in nonlinear systems. In the first part of the book, the authors present methodologically mathematical models of nonlinear waves propagating in one- and two-dimensional nonlinear transmission networks without/with dissipative elements. Based on these models, the authors investigate the generation and the transmission of nonlinear modulated waves, in general, and solitary waves, in particular, in networks under consideration. In the second part of the book, the authors develop basic theoretical results for the dynamics matter-wave and magnetic-wave solitons of nonlinear systems and of Bose-Einstein condensates trapped in external potentials, combined with the time-modulated nonlinearity. The models treated here are based on one-, two-, and three-component non-autonomous Gross-Pitaevskii equations. Based on the Heisenberg model of spin-spin interactions, the authors also investigate the dynamics of magnetization in ferromagnet with or without spin-transfer torque. This research book is suitable for physicists, mathematicians, engineers, and graduate students in physics, mathematics, and network and information engineering.

This volume of the Encyclopedia of Complexity and Systems Science, Second Edition, focuses on current challenges in the field from materials and mechanics to applications of statistical and nonlinear physics in the life sciences. Challenges today are mostly in the realm of non-equilibrium systems, although certain equilibrium systems also present serious hurdles. Where possible, pairwise articles focus on a single topic, one from a theoretical perspective and the other from an experimental one, providing valuable insights. In other cases, theorists and experimentalists have collaborated on a single article. Coverage includes both quantum and classical systems, and emphasizes 1) mature fields that are not covered in the current specialist literature, (2) topics that fall through the cracks in disciplinary journals/books, or (3) developing areas where the knowledge base is large and robust and upon which future developments will depend. The result is an invaluable resource for condensed matter physicists, material scientists, engineers and life scientists.

This second edition of the book, Nonlinear Random Vibration: Analytical Techniques and Applications, expands on the original edition with additional detailed steps in various places in the text. It is a first systematic presentation on the subject. Its features include: * a concise treatment of Markovian and non- Markovian solutions of nonlinear stochastic differential equations, * exact solutions of Fokker-Planck-Kolmogorov equations, * methods of statistical linearization, * statistical nonlinearization techniques, * methods of stochastic averaging, * truncated hierarchy techniques, and * an appendix on probability theory. A special feature is its incorporation of detailed steps in many examples of engineering applications. Targeted audience: Graduates, research scientists and engineers in mechanical, aerospace, civil and environmental (earthquake, wind and transportation), automobile, naval, architectural, and mining engineering.

Nonlinear dynamo theory is central to our understanding of the magnetic structures of planets, stars and galaxies. This volume presents an updated and coherent view of recent advances in this significant and expanding area with contributions from some of the leading authors in the field. Both kinetic and dynamic approaches to the subject are considered with topics including fast dynamos, topological methods in dynamo theory, physics of the solar cycle and the fundamentals of mean field dynamo. This volume provides a useful source of reference for graduate students and researchers in theoretical astrophysics and applied mathematics interested in cosmic magnetism and related topics such as turbulence, convection and more general nonlinear physics.