توضیحات

ارسال کتاب های زبان اصلی در بازه ۸ الی ۱۲ روزه انجام میشود.
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This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms.

From the reviews:

"Will serve as one of the most eminent introductions to the geometric theory of dynamical systems."

Table of Contents

۱ Equilibrium Solutions, Stability, and Linearized Stability

۲ Liapunov Functions

۳ Invariant Manifolds: Linear and Nonlinear Systems

۴ Periodic Orbits

۵ Vector Fields Possessing an Integral

۶ Index Theory

۷ Some General Properties of Vector Fields: Existence, Uniqueness, Differentiability, and Flows

۸ Asymptotic Behavior

۹ The Poincar´e-Bendixson Theorem

۱۰ Poincar´e Maps

۱۱ Conjugacies of Maps, and Varying the Cross-Section

۱۲ Structural Stability, Genericity, and Transversality

۱۳ Lagrange’s Equations

۱۴ Hamiltonian Vector Fields

۱۵ Gradient Vector Fields

۱۶ Reversible Dynamical Systems

۱۷ Asymptotically Autonomous Vector Fields

۱۸ Center Manifolds

۱۹ Normal Forms

۲۰ Bifurcation of Fixed Points of Vector Fields

۲۱ Bifurcations of Fixed Points of Maps

۲۲ On the Interpretation and Application of Bifurcation Diagrams: A Word of Caution

۲۳ The Smale Horseshoe

۲۴ Symbolic Dynamics

۲۵ The Conley–Moser Conditions, or “How to Prove That a Dynamical System is Chaotic”

۲۶ Dynamics Near Homoclinic Points of

Two-Dimensional Maps

۲۷ Orbits Homoclinic to Hyperbolic Fixed Points in Three-Dimensional Autonomous Vector Fields

۲۸ Melnikov’s Method for Homoclinic Orbits in Two-Dimensional, Time-Periodic Vector Fields

۲۹ Liapunov Exponents

۳۰ Chaos and Strange Attractors

۳۱ Hyperbolic Invariant Sets: A Chaotic Saddle

۳۲ Long Period Sinks in Dissipative Systems and Elliptic Islands in Conservative Systems

۳۳ Global Bifurcations Arising from Local Codimension—TwoBifurcations

۳۴ Glossary of Frequently Used Terms