Dynamic Systems: Course Review

Related lectures (31)

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

Explores fixed points and their stability in dynamic systems, emphasizing linear stability analysis.

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

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

Covers dynamic systems in biology, including trajectories, stability, and qualitative analysis.

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

Explores the Kuramoto model for synchronization in phase oscillators and discusses stability criteria and critical coupling values.

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

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

Explores stability properties and fixed points in discrete time solutions.