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Lecture
Fractional Response
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Dynamical Systems: Maps and Stability
Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.
Fractional Susceptibility in Quadratic Dynamics
Explores the fractional susceptibility function in quadratic dynamical systems, highlighting its significance and the associated paradoxes in parameter dependence.
Bifurcations: Introduction
Covers the introduction to bifurcations in dynamical systems, including examples and theorems.
Dynamical Systems for Engineers
Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.
Equilibrium Points and Bifurcations
Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.
Transcritical Bifurcations: Understanding Dynamical Systems
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Nonlinear Dynamics: Homoclinic Orbits and Bifurcations
Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.
Weakly Nonlinear Approach: Bifurcations and Amplitude Equations
Explores weakly nonlinear approach, bifurcations, amplitude equations, critical slowing, and nonlinearities in dynamical systems.
Bifurcation and fractals in complex dynamical systems
Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.