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Cachan M., Groningen T., Paris T. Hamiltonian Dynamics - Theory and Applications
Springer, 188 pages, 1999.
The textbook covers topics on: Physical Applications of Nekhoroshev Theorem and Exponential Estimates, The Adiabatic Invariant Theory and Applications, Lectures on Hamiltonian Methods in Nonlinear PDEs.
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Institute of Physics Publishing Bristol and Philadelphia, 534 pages, 2002. In the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can also be expressed as a (spacetime)...

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Cambridge University Press, 2000, 417 Pages This book explores the exciting new field of complexity. It features in-depth coverage of important theoretical areas, including fractals, chaos, nonlinear dynamics, artificial life, and self organization. It also provides overviews of complexity in several applied areas, including parallel computation, control systems, neural systems, and ecosystems. Contributors examine some of the properties that be...

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Differential Geometry, Crystal Melting, pp. 743– 1456. Singapore: World Scientific, 1989. This book is the first to develop a unified gauge theory of condensed matter sytems dominated by vortices or defects and their long-range interactions. Gauge fields provide the only means of describing these interactions in terms of local fields, rendering them accessible to standard field theoretic techniques. Two particularly important examples, superflui...

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This book provides a critical review of the equilibrium elastic properties of rubber, together with the kinetic-theory background. It is suitable for the non-specialist and the emphasis is on the physical reality embodied in the mathematical formulations. Polymer science had developed greatly since the second edition of this text in 1958, and the two main advances-the refinements of the network theory and associated thermodynamic analysis, and th...

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Academic Press, 1 edition, 473 pages, 2004, ISBN-10: 0126058113 Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of...

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Joseph Henry Press, 1st edition, 406 pages, 1997, 0309063515. What is this business called 'chaos'? What does it deal with? Why do people think it's important? And how did the term 'chaos' - long associated with disorder - come to signify a new paradigm in the orderly realm of mathematics? The concept of chaos is one of the most exciting and rapidly expanding research topics of recent decades. Chaos might underlie many kinds of well-known process...

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Elsevier. 2005. 321 p. Preface Molecular vibration Concepts of dynamical groups Concepts of nonlinear dynamics Application of su(2) algebra Application of noncompact su(1,1) algebra Breaking of su(3) algebra and its application Application of su(3) algebra Quantal effect of asymmetric molecular rotation Pendulum, resonance and molecular highly excited vibration Quasiperiodicity, resonance overlap and chaos Fractal structure of eigencoefficients C...