The physics of chaos in Hamiltonian systems / George M. Zaslavsky.

Format:

Book

Author/Creator:

Zaslavsky, George M.

Language:

English

Subjects (All):

Hamiltonian systems.

Chaotic behavior in systems.

Mathematical physics.

Physical Description:

1 online resource (337 p.)

Edition:

2nd ed.

Place of Publication:

London : Imperial College Press ; Hackensack, NJ : Distributed by World Scientific, c2007.

Language Note:

English

Summary:

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

Contents:

Preface to the first edition

Preface to the second edition

Discrete and continuous models

Separatrix chaos

The phase space of chaos

Nonlinearity versus perturbation

Fractals and chaos

Poincare recurrences and fractal time

Chaos and foundation of statistical physics

Chaos and symmetry

More degrees of freedom

Normal and anomalous kinetics

Fractional kinetics

Weak chaos and pseudochaos

The nonlinear pendulum

Solution to the renormalisation transform equation

Fractional integro-differentiation

Formulas of fractional calculus

References

Index.

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 300-311) and index.

ISBN:

9786611120702

9781281120700

1281120707

9781860948619

1860948618

OCLC:

476100010