Deterministic Nonlinear Systems

A Short Course

ISBN: 978-3-319-06870-1 (Print) 978-3-319-06871-8 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xiv

  2. No Access

    Chapter

    Pages 1-22

    Dynamical Systems

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    Chapter

    Pages 23-35

    Stability of Dynamical Systems: Linear Approach

  4. No Access

    Chapter

    Pages 37-52

    Bifurcations of Dynamical Systems

  5. No Access

    Chapter

    Pages 53-73

    Dynamical Systems with One Degree of Freedom

  6. No Access

    Chapter

    Pages 75-92

    Systems with Phase Space Dimension N ≥ 3: Deterministic Chaos

  7. No Access

    Chapter

    Pages 93-105

    From Order to Chaos: Bifurcation Scenarios (Part I)

  8. No Access

    Chapter

    Pages 107-122

    From Order to Chaos: Bifurcation Scenarios (Part II)

  9. No Access

    Chapter

    Pages 123-143

    Robust and Nonrobust Dynamical Systems: Classification of Attractor Types

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    Chapter

    Pages 145-156

    Characteristics of Poincaré Recurrences

  11. No Access

    Chapter

    Pages 157-173

    Fractals in Nonlinear Dynamics

  12. No Access

    Chapter

    Pages 175-201

    The Anishchenko–Astakhov Oscillator of Chaotic Self-Sustained Oscillations

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    Chapter

    Pages 203-215

    Quasiperiodic Oscillator with Two Independent Frequencies

  14. No Access

    Chapter

    Pages 217-243

    Synchronization of Periodic Self-Sustained Oscillations

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    Chapter

    Pages 245-271

    Synchronization of Two-Frequency Self-Sustained Oscillations

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    Chapter

    Pages 273-294

    Synchronization of Chaotic Oscillations