Concept

Periodic point

Related lectures (28)

Explores periodic orbits in Hamiltonian systems and their stability under various conditions.

Atomic scale structures: Representing atoms on a computer

Covers the representation of atomic structures on a computer and introduces exercises based on Jupyter notebooks.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Nonlinear Dynamics and Chaos

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

Periodic Orbits of Hamiltonian Systems

Covers Morse theory, critical points, and Conley-Zehnder index in Hamiltonian systems.

Non-escaping points of Zorich maps

Covers non-escaping points of Zorich maps, including attracting fixed points and Cantor bouquets.

Thermodynamic formalism for coarse expanding dynamical systems

Explores thermodynamic formalism for weakly coarse expanding dynamical systems, covering equilibrium states, visual metrics, and symbolic coding.

Shell Components in Meromorphic Parameter Spaces

Explores shell components in transcendental parameter planes and attracting cycles.

Gateways to the Moon and Local Floer Homology

Explores the problem of a falling stone hitting the moon, focusing on gateways to the moon and local Floer homology.

Bifurcation and fractals in complex dynamical systems

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

Gibbs measures: Hyperbolic Attractors

Explores Gibbs measures for hyperbolic attractors, including T-invariant probability measures and perturbations of the CAT map.

Dynamical Approaches to Spectral Theory of Operators

Explores dynamical approaches to the spectral theory of operators, focusing on self-adjoint operators and Schrödinger operators with dynamically defined potentials.

Chaos Theory: Chaotic Maps and Logistic Map

Explores chaotic maps, fix points, periodic orbits, and intermittent chaos.

Equidistribution of CM Points

Explores the joint equidistribution of CM points for cubic fields, emphasizing periodic orbits and quadratic algebraic forms.

Markov Chains: Convergence and Equilibrium

Explores the convergence properties of Markov chains and the computation of long-run mean rewards.

Equidistribution of CM Points

Explores the joint equidistribution of CM points and their properties in ergodic theory and homogeneous dynamics.

Markov Chains: Ergodic Chains Examples

Covers stochastic models for communications, focusing on discrete-time Markov chains.

Markov Chains: Ergodic Chains Examples

Covers stochastic models for communications, focusing on discrete-time Markov chains.

Chaos Theory: Logistic Map and Periodic Orbits

Explores Chaos Theory, focusing on the logistic map, periodic orbits, and stability conditions.

Dirichlet Theorem: Complex Fourier Coefficients

Covers the Dirichlet theorem and complex Fourier coefficients for periodic functions.