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Related lectures (31)
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Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Fractals and Chaos Theory
Explores chaotic maps, fractal dimensions, and strange attractors in dynamical systems.
Nonlinear Dynamics: Homoclinic Orbits and Bifurcations
Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.
Ergodic properties of low complexity symbolic systems
Explores the influence of complexity on ergodic properties of symbolic systems, presenting the Curtis-Hedlund-Lyndon Theorem and constructions of minimal subshifts.
A Conjecture of Erdös: Proof by Moreira, Richter and Robertson
Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.
Shell Components in Meromorphic Parameter Spaces
Explores shell components in transcendental parameter planes and attracting cycles.
Bifurcations: Fold Bifurcation
Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.
Bifurcations: Introduction
Covers the introduction to bifurcations in dynamical systems, including examples and theorems.
Nonlinear Dynamics and Chaos
Covers Hopf bifurcations, pitchfork bifurcations, and the Lorenz system in nonlinear dynamics and chaos.
Equilibrium Points and Bifurcations
Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.
