Architecture: Bifurcation and Contemporary Challenges

Related lectures (31)

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

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

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

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

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

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

Explores linear response in dynamical systems, emphasizing fractional derivatives and expanding unimodal maps.

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

Covers neuronal morphologies, visualisation, measurements, and statistical tests.

Explores the concept of limit cycles in biological systems and their significance in understanding system dynamics.