Nonlinear Dynamics and Chaos

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In course

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Description

This lecture covers topics such as Hopf bifurcations, subcritical and supercritical bifurcations, pitchfork bifurcations, and the Lorenz system. It also delves into the concept of equilibrium points, stability, and the behavior of trajectories in complex systems.

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Official source

Ontological neighbourhood

Systems science and engineering

Systems theory: Chaos theory

Related lectures (31)

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In course

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Instructor

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Ontological neighbourhood

Systems science and engineering

Systems theory: Chaos theory

Related lectures (31)

Equilibrium Points and Bifurcations

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

Nonlinear Dynamics and Chaos

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

Dynamical Systems: Maps and Stability

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

Nonlinear Dynamics and Chaos

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

Nonlinear Dynamics: Homoclinic Orbits and Bifurcations

Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.