Bifurcation diagram

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Related lectures (31)

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Limit Cycles in Biological Systems

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

Newton-Krylov-hookstep Methods

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

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Transcritical Bifurcations: Understanding Dynamical Systems

Explores transcritical bifurcations and the dynamics near critical points.

Attractors and Stability

Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.

Wave Speed & Arterial Compliance

Explores wave speed, arterial compliance, and wave reflections in arteries, including characteristic impedance and pulse wave velocity.

Weakly Nonlinear Analysis: Multiple Time Scale Expansion

Explores weakly nonlinear analysis through multiple time scale expansion, emphasizing the period of a gravitational pendulum and non-resonance conditions.

Bifurcation and fractals in complex dynamical systems

Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.

Personalized Brain Network Models

Explores personalized brain network models in medicine, focusing on epilepsy, time delays, and SEEG data fitting.

Stability Analysis: Linear Systems

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.