Attractors and Stability

Related lectures (34)

Covers Morse theory, critical points, and Conley-Zehnder index in Hamiltonian systems.

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

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

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

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

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

Explores large scale stability in dynamical systems and interconnected behavior.

Explores water dynamics in unsaturated soils, including Darcy's law extension and mathematical modelling.

Explores the equidistribution of CM points in toral sets with periodic measures and compact abelian varieties.

Covers multi-agent systems in traffic management and dynamic pricing strategies using game theory.

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