User:PARitto/Books/Dynamical Systems and Chaos
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Dynamical Systems and Chaos
1 Introduction I: Iterated Functions
- Critical point (mathematics)
- Fixed point (mathematics)
- Fixed-point theorem
- Iterated function
- Iterative method
- Numerical stability
- Phase line (mathematics)
- Recurrence relation
- Stationary point
2 Introduction II: Differential Equations
- Differential equation
- Euler method
- Numerical methods for ordinary differential equations
- Ordinary differential equation
- Runge–Kutta methods
- Stiff equation
3 Chaos and the Butterfly Effect
Introducing the Logistic Equation (3.1)
- Butterfly effect
- Chaos theory
- Dynamical system
- Exponential growth
- Logistic map
- Lorenz system
- Population growth
Randomness? (3.4)
- Algorithmically random sequence
- Algorithmic information theory
- Bernoulli trial
- Checking whether a coin is fair
- Coin flipping
- Fair coin
- Randomness
- Random variable
- Statistical randomness
- Stochastic process
- Symbolic dynamics