Nonlinear Dynamics and Chaos¶

with Applications to Physics, Biology, Chemistry, and Engineering

Contents¶

• Part 0.
  • 01. Overview
• Part I. One-Dimensioal Flows
  • 02. Flows on the line
  • 03. Bifurcations
  • 04. Flows on the Circle
• Part II. Two-Dimensional Flows
  • 05. Linear Systems
  • 06. Phase Plane
  • 07. Limit Cycles
  • 08. Bifurcations Revisited
• Part III. Chaos
  • 09. Lorenz Equations
  • 10. One-Dimensional Maps
  • 11. Fractals
  • 12. Strange Attractors

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