Bifurcations: Fold Bifurcation

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Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Explores logistic maps, bifurcations, equilibrium points, and periodic orbits in nonlinear dynamics and chaos.

Covers the introduction to bifurcations in dynamical systems, including examples and theorems.

Covers bifurcations, long-term dynamics, logistic map, universality, and correspondence between different maps.

Explores flip and Andronov-Hopf bifurcations, showing how systems change equilibrium points and stability.

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.