Dynamical System Theory: Bifurcations

Related lectures (34)

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

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

Explores nonlinear dynamics, bifurcations, stability, weakly nonlinear systems, saturation, Hopf bifurcation, and global stability analysis.

Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.

Explores weakly nonlinear approach, bifurcations, amplitude equations, critical slowing, and nonlinearities in dynamical systems.

Discusses stability analysis of equilibrium points in dynamical systems.

Covers Newton-Krylov-hookstep methods for finding roots of high-dimensional systems.

Covers fluid dynamics instabilities, turbulence, stability of airplanes, and key concepts.

Covers large scale stability analysis and properties of dynamical systems solutions.

Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear systems.

Explains disturbance rejection using a P controller and its impact on system stability.

Page 2 of 2