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Bifurcations and chaos in piecewise-smooth dynamical systems

Tác giả: Zhanybai T. Zhusubaliyev, Erik Mosekilde

Chapter 1. On the dynamics of nonlinear systems. Chapter 2. Basic concepts and methods. Chapter 3. Relay control systems. Chapter 4. Bifurcations and chaotic oscillations in relay systems. Chapter 5. Chaotic oscillations in pulse-width modulated systems. Chapter 6. Border-collision bifurcations on...

Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics

Tác giả: Rainer Klages

This book provides an up-to-date summary of central topics in the field of nonequilibrium statistical mechanics and dynamical systems theory.

Chaos and gauge field theory

Tác giả: T. S. Biró, S. G. Matinyan, Berndt Müller

Contents: 1. Introduction. 2. Chaotic Dynamics. 3. Chaos in Gauge Theory. 4. Topological Field Theories. 5. Lattice Gauge Theory. 6. Hamiltonian Lattice Gauge Theory. 7. Computing SU(2) Gauge Theory. 8. Chaos in Lattice Gauge Theory. 9. Applications and Extensions. 10. Beyond the Classical Theory....

Perturbation methods, instability, catastrophe, and chaos

Tác giả: Man Fong C F Chan, Daniel de Kee

This important book introduces perturbation and qualitative methods for differential equations in terms understandable to students with only a basic knowledge of calculus and ordinary linear differential equations. Theorems are stated clearly with their limitations and restrictions and are applied...

Chaos in chemistry and biochemistry

Tác giả: Richard J Field, Laszlo Gyorgyi

True deterministic chaos is characterized by unpredictable, apparently random motion in a dynamical system completely described by a deterministic dynamic law, usually a nonlinear differential equation, with no stochastic component. The inability to predict future behavior of a chaotic system...