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Lecture
Dynamical System Theory: Bifurcations
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Related lectures (34)
Dynamical Systems: Maps and Stability
Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.
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 Hopf bifurcations, pitchfork bifurcations, and the Lorenz system in nonlinear dynamics and chaos.
Nonlinear Dynamics and Chaos
Explores logistic maps, bifurcations, equilibrium points, and periodic orbits in nonlinear dynamics and chaos.
Nonlinear Dynamics and Chaos
Covers bifurcations, long-term dynamics, logistic map, universality, and correspondence between different maps.
Nonlinear Dynamics: Homoclinic Orbits and Bifurcations
Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Fractional Susceptibility in Quadratic Dynamics
Explores the fractional susceptibility function in quadratic dynamical systems, highlighting its significance and the associated paradoxes in parameter dependence.
Fractional Response
Explores linear response in dynamical systems, emphasizing fractional derivatives and expanding unimodal maps.
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.
Stellar Orbits: Integrals of Motion and Phase Space Visualization
Covers integrals of motion and surfaces of section in stellar dynamics.
Dynamical Systems: Equilibrium Points and Stability
Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.
Attractors and Stability
Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.
Limit Cycles in Biological Systems
Explores the concept of limit cycles in biological systems and their significance in understanding system dynamics.
Stellar Orbits: Stability and Resonances
Explores the stability of orbits, effective potential shape, and resonances in stellar dynamics.
Stability Analysis: Linear Systems
Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.
Bifurcation and fractals in complex dynamical systems
Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex 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.
Neuronal Morphologies: Global Features and Measurements
MOOC: Simulation Neurocience
Covers neuronal morphologies, visualisation, measurements, and statistical tests.
Kuramoto Model: Phase Synchronization and Critical Coupling
Explores the Kuramoto model, discussing phase synchronization and critical coupling in oscillator populations.
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