Hamiltonian Chaos Beyond the KAM Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hamiltonian Chaos Beyond the KAM Theory write by Albert C. J. Luo. This book was released on 2011-01-04. Hamiltonian Chaos Beyond the KAM Theory available in PDF, EPUB and Kindle. “Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935—2008)” covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.
Hamiltonian Chaos Beyond the KAM Theory
Hamiltonian Chaos Beyond the KAM Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hamiltonian Chaos Beyond the KAM Theory write by Albert C. J. Luo. This book was released on 2010. Hamiltonian Chaos Beyond the KAM Theory available in PDF, EPUB and Kindle.
The Physics of Chaos in Hamiltonian Systems
The Physics of Chaos in Hamiltonian Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Physics of Chaos in Hamiltonian Systems write by George M. Zaslavsky. This book was released on 2007. The Physics of Chaos in Hamiltonian Systems available in PDF, EPUB and Kindle. This book aims to familiarize the reader with the essential properties of the chaotic dynamics of Hamiltonian systems by avoiding specialized mathematical tools, thus making it easily accessible to a broader audience of researchers and students. Unique material on the most intriguing and fascinating topics of unsolved and current problems in contemporary chaos theory is presented. The coverage includes: separatrix chaos; properties and a description of systems with non-ergodic dynamics; the distribution of Poincar recurrences and their role in transport theory; dynamical models of the Maxwell's Demon, the occurrence of persistent fluctuations, and a detailed discussion of their role in the problem underlying the foundation of statistical physics; the emergence of stochastic webs in phase space and their link to space tiling with periodic (crystal type) and aperiodic (quasi-crystal type) symmetries. This second edition expands on pseudochaotic dynamics with weak mixing and the new phenomenon of fractional kinetics, which is crucial to the transport properties of chaotic motion. The book is ideally suited to all those who are actively working on the problems of dynamical chaos as well as to those looking for new inspiration in this area. It introduces the physicist to the world of Hamiltonian chaos and the mathematician to actual physical problems.The material can also be used by graduate students.
Hamiltonian Chaos and Fractional Dynamics
Hamiltonian Chaos and Fractional Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hamiltonian Chaos and Fractional Dynamics write by George M. Zaslavsky. This book was released on 2005. Hamiltonian Chaos and Fractional Dynamics available in PDF, EPUB and Kindle. This books gives a realistic contemporary image of Hamiltonian dynamics, dealing with the basic principles of the Hamiltonian theory of chaos in addition to very recent and unusual applications of nonlinear dynamics and the fractality of dynamics.
The Many Facets of Complexity Science
The Many Facets of Complexity Science - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Many Facets of Complexity Science write by Dimitri Volchenkov. This book was released on 2021-08-30. The Many Facets of Complexity Science available in PDF, EPUB and Kindle. This book explores recent developments in theoretical research and data analysis of real-world complex systems, organized in three parts, namely Entropy, information, and complexity functions Multistability, oscillations, and rhythmic synchronization Diffusions, rotation, and convection in fluids The collection of works devoted to the memory of Professor Valentin Afraimovich provides a deep insight into the recent developments in complexity science by introducing new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to economics, genetics, engineering vibrations, as well as classic problems in physics, fluid and climate dynamics, and urban dynamics. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, and urban planners.
