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Concept

Bifurcation 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: Homoclinic Orbits and Bifurcations

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

Nonlinear Dynamics and Chaos

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

Dynamical Systems: Maps and Stability

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

Architecture: Bifurcation and Contemporary Challenges

Explores Bruther's architectural projects, focusing on balancing abstraction and function, creating improbable situations, and addressing contemporary challenges.

Fractional Response

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

Nonlinear Dynamics and Chaos

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

Neuronal Morphologies: Global Features and Measurements MOOC: Simulation Neurocience

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

Special Types of Systems: Limit Cycles

Covers special types of systems, focusing on gradient systems and limit cycles, discussing equilibrium points, stability, and chaotic behavior.

Limit Cycles in Biological Systems

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

Nonlinear Dynamics and Chaos

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

Stellar Orbits: Stability and Resonances

Explores the stability of orbits, effective potential shape, and resonances in stellar dynamics.

Metal Structures: Buckling and Deformation

Explores buckling modes, Euler's formula, elastic behavior, and geometric imperfections in metal structures.

Carotid Artery Bifurcation: Physiology and Anatomy

Explores the anatomy and physiology of the carotid artery bifurcation.

Bistability in Gene Regulation

Explores bistability in gene regulation, analyzing fixed points, bifurcation diagrams, and hysteresis behavior in gene expression.

Personalized Brain Network Models

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

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Kuramoto Model: Phase Synchronization and Critical Coupling

Explores the Kuramoto model, discussing phase synchronization and critical coupling in oscillator populations.

Stability Analysis: Linear Systems

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

Bifurcations: Fold Bifurcation Log in to Mediaspace to watch this video

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