力学の教科書

力学

Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Studies in Nonlinearity)

Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Studies in Nonlinearity)

    • 1. Overview
  • Part 1. One-Dimensional Flows
    • 2. Flows on the Line
      • 2.0 Introduction
      • 2.1 A Geometric Way of Thinking
      • 2.2 Fixed Points and Stability
      • 2.3 Population Grouth
      • 2.4 Linear Stability Analysis
      • 2.5 Existence and Uniqueness
      • 2.6 Impossibility of Oscillations
      • 2.7 Potentials
      • 2.8 Solving Equation on the Computer
    • 3. Bifurcations
    • 4. Flows on the Circle
  • Part 2. Two-Dimensional Flows
    • 5. Linear Systems
    • 6. Phase Plane
    • 7. Limit Cycles
    • 8. Bifurcations Revisited
  • Part 3. CHAOS
    • 9. Lorenz Equations
    • 10. One-Dimensional Maps
    • 11. Fractals
    • 12. Strange Attractors