Dynamical System Theory: Bifurcations

Related lectures (31)

Page 1 of 4

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

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

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

Covers Hopf bifurcations, pitchfork bifurcations, and the Lorenz system in nonlinear dynamics and chaos.

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

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

Explores transcritical bifurcations and the dynamics near critical points.

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

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

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