Name: Dynamical Phase Transitions in Chaotic Systems
SKU: 64790939
Price: 4725.00 TWD
Availability: InStock
Author: Edson Denis Leonel

portada Dynamical Phase Transitions in Chaotic Systems

Dynamical Phase Transitions in Chaotic Systems

Type

Physical Book

Publisher

Springer Verlag, Singapore

Author

Edson Denis Leonel

Collection

Nonlinear Physical Science

Year

2024

Pages

Format

Paperback

Dimensions

23.5x15.5 cm

ISBN13

9789819922468

Dynamical Phase Transitions in Chaotic Systems

Edson Denis Leonel (Author) · Springer Verlag, Singapore · Paperback

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Synopsis "Dynamical Phase Transitions in Chaotic Systems"

This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering.