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Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

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Introduction

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Introduction

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Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

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  1. 1 Introduction
  2. 2 Linearization at a Fixed Point
  3. 3 Why We Linearize: Eigenvalues and Eigenvectors
  4. 4 Nonlinear Example: The Duffing Equation
  5. 5 Stable and Unstable Manifolds
  6. 6 Bifurcations
  7. 7 Discrete-Time Dynamics: Population Dynamics
  8. 8 Integrating Dynamical System Trajectories
  9. 9 Chaos and Mixing

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