Attractors and Stability

Related lectures (31)

Page 3 of 4

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

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

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

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

Covers the topic of bifurcations in dynamical system theory, focusing on the pitchfork bifurcation.

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

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

Explores small scale stability in gradient systems, analyzing trajectories and attractors in phase space.

Covers mathematical modeling in chemistry and biology, including chemical reactions, enzymatic kinetics, and population dynamics.

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