Concept

Complex dynamics

Related lectures (16)

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

Bifurcation and fractals in complex dynamical systems

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

Explores the speaker's research journey, covering topics such as modern filters, chaos theory, synchronization, and superconductors.

Linear Response in High-Dimensional Systems

Explores linear response in high-dimensional systems, covering theory, practice, and implications of non-hyperbolicity and inhomogeneous subsystems.

Nonlinear Dynamics and Complex Systems

Covers chaotic behavior in complex systems, with applications in various fields and a historical overview of major developments in chaos theory.

Dynamics of Discrete Systems

Covers the dynamics of discrete systems and the concept of orbits in Riemann varieties.

Chaotic Movement: Double Pendulum

Delves into the dynamics of a double pendulum system and how initial conditions affect its behavior.

Nonlinear Dynamics: Stability and Chaos

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

Chaos in Turbulence: Understanding Deterministic Behavior

Examines the connection between turbulence and deterministic chaos, focusing on predictability and the complexity of chaotic systems.

Chaos and Lyapunov Exponents: Properties and Dynamics

Covers chaos properties, focusing on Lyapunov exponents and their role in chaotic dynamics and predictability.

Fractional Susceptibility in Quadratic Dynamics

Explores the fractional susceptibility function in quadratic dynamical systems, highlighting its significance and the associated paradoxes in parameter dependence.

Nonlinear Dynamics: Chaos and Complex Systems

Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.

Chaos Theory: Turbulence and Double Pendulum

Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.

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.

Datapath Design: Mandelbrot & Fixed-Point

Explores datapath design for Mandelbrot set and fixed-point number representation in digital systems.