Hamiltonian Chaos and Fractional Dynamics

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Author :
Release : 2005
Genre : Mathematics
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Book Rating : 040/5 ( reviews)

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 Physics of Chaos in Hamiltonian Systems

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Release : 2007
Genre : Science
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Book Rating : 956/5 ( reviews)

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.

Physics Of Chaos In Hamiltonian Systems, The (2nd Edition)

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Release : 2007-05-21
Genre : Science
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Book Rating : 232/5 ( reviews)

Physics Of Chaos In Hamiltonian Systems, The (2nd Edition) - 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 Physics Of Chaos In Hamiltonian Systems, The (2nd Edition) write by George Zaslavsky. This book was released on 2007-05-21. Physics Of Chaos In Hamiltonian Systems, The (2nd Edition) 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 Poincaré 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./a

Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives

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Release : 2017-11-17
Genre : Science
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Book Rating : 095/5 ( reviews)

Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives - 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 Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives write by Mark Edelman. This book was released on 2017-11-17. Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives available in PDF, EPUB and Kindle. The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics. The fifteen chapters – written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks – offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering. As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.

Galileo Unbound

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Release : 2018-07-12
Genre : Science
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Book Rating : 505/5 ( reviews)

Galileo Unbound - 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 Galileo Unbound write by David D. Nolte. This book was released on 2018-07-12. Galileo Unbound available in PDF, EPUB and Kindle. Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.