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- catalog abstract ""This book is devoted to chaotic nonlinear dynamics. It presents a consistent, up-to-date introduction to the field of strange attractors, hyperbolic repellers, and nonlocal bifurcations. The authors keep the highest possible level of "physical" intuition while staying mathematically rigorous. In addition, they explain a variety of important nonstandard algorithms and problems involving the computation of chaotic dynamics." "The book will help readers who are not familiar with nonlinear dynamics to understand and enjoy sophisticated modern monographs on dynamical systems and chaos. Intended for courses in either mathematics, physics, or engineering, prerequisites are calculus, differential equations, and functional analysis."--Jacket.".
- catalog alternative "Chaotic dynamical systems".
- catalog contributor b12732719.
- catalog contributor b12732720.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description ""This book is devoted to chaotic nonlinear dynamics. It presents a consistent, up-to-date introduction to the field of strange attractors, hyperbolic repellers, and nonlocal bifurcations. The authors keep the highest possible level of "physical" intuition while staying mathematically rigorous. In addition, they explain a variety of important nonstandard algorithms and problems involving the computation of chaotic dynamics." "The book will help readers who are not familiar with nonlinear dynamics to understand and enjoy sophisticated modern monographs on dynamical systems and chaos. Intended for courses in either mathematics, physics, or engineering, prerequisites are calculus, differential equations, and functional analysis."--Jacket.".
- catalog description "1. Basic Concepts -- 2. Zero-Dimensional Dynamics -- 3. One-Dimensional Dynamics -- 4. Two-Dimensional Dynamics -- 5. Systems with 1.5 Degrees of Freedom -- 6. Generated by 3-D Vector Fields -- 7. Lyapunov Exponents -- App. 1. Proof of the Annulus Principle -- App. 2. Normal Form for the Andronov-Hopf-Naimark-Sacker Bifurcation -- App. 3. Dissipative 'Separatrix Map" -- App. 4. Derivation of the Zaslavsky map [Z] -- App. 5. Concluding Remarks on Symbolic Dynamics -- App. 6. Hyperbolicity Conditions.".
- catalog description "Includes bibliographical references (p. 339-350) and index.".
- catalog extent "ix, 353 p. :".
- catalog identifier "0821831682 (alk. paper)".
- catalog isPartOf "AMS/IP studies in advanced mathematics, 1089-3288 ; v. 28".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Providence, R.I. : American Mathematical Society ; [Somerville, Mass.] : International Press,".
- catalog subject "514/.74 21".
- catalog subject "Chaotic behavior in systems.".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "QA614.8 .A385 2003".
- catalog tableOfContents "1. Basic Concepts -- 2. Zero-Dimensional Dynamics -- 3. One-Dimensional Dynamics -- 4. Two-Dimensional Dynamics -- 5. Systems with 1.5 Degrees of Freedom -- 6. Generated by 3-D Vector Fields -- 7. Lyapunov Exponents -- App. 1. Proof of the Annulus Principle -- App. 2. Normal Form for the Andronov-Hopf-Naimark-Sacker Bifurcation -- App. 3. Dissipative 'Separatrix Map" -- App. 4. Derivation of the Zaslavsky map [Z] -- App. 5. Concluding Remarks on Symbolic Dynamics -- App. 6. Hyperbolicity Conditions.".
- catalog title "Chaotic dynamical systems".
- catalog title "Lectures on chaotic dynamical systems / Valentin Afraimovich and Sze-Bi Hsu.".
- catalog type "text".