Henon Map Courses and Certifications

Simons Semester on Dynamics

The Pruning Front Conjecture and Classification of Hénon Maps with Strange Attractors

Delve into topological dynamics of Hénon maps, exploring the pruning front conjecture, kneading theory, and classification of strange attractors. Gain insights from recent research on complex dynamical systems.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Banach Center

Horn Maps of Semi-Parabolic Hénon Maps

Explore horn maps of semi-parabolic Hénon maps, delving into complex dynamics and mathematical theory with expert Fabrizio Bianchi from the University of Pisa.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Banach Center

Hénon-like Renormalization

Explore Hénon-like Renormalization theory and its applications in dynamical systems, presented by Jonguk Yang from the University of Zurich.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Complex Dynamics in the Tropics - Critical Locus for Complex Henon Maps

Explore complex dynamics in the tropics, focusing on critical locus for complex Henon maps. Gain insights from T. Firsova's presentation at IMPA's international congress celebrating Carsten Lunde Petersen.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

Infinite Renormalizability and Non-Uniform Partial Hyperbolicity in Two-Dimensional Dynamical Systems

Dive into the renormalization theory of dynamical systems, exploring its extension to two-dimensional settings and the concept of infinite renormalizability in diffeomorphisms.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

The Pruning Front Conjecture, Wandering Domains and Classification of Hénon Maps - Strange Attractors

Dive into topological dynamics of Hénon maps, exploring kneading theory, strange attractors, and wandering domains within the Wang-Young parameter set.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Renormalization of Unicritical Diffeomorphisms of the Disk

Explore renormalization of unicritical disk diffeos, focusing on infinitely renormalizable Henon maps and their convergence to unimodal maps. Gain insights into Pesin theory and critical orbits in higher dimensions.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Mild Dissipative Diffeomorphisms of the Disk with Zero Entropy - Lecture 3

Explore zero entropy surface diffeomorphisms, their dynamics, and bifurcations. Examine volume-contracting systems, renormalization concepts, and extensions to different domains like the annulus.

• YouTube
• 2 hours 2 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Mild Dissipative Diffeomorphisms of the Disk with Zero Entropy - Lecture 2

Explore zero entropy surface diffeomorphisms, their dynamics, and bifurcations. Examine volume-contracting systems, renormalization concepts, and extensions to different domains like the annulus.

• YouTube
• 2 hours 1 minute
• On-Demand
• Free Video

Nonlinear Dynamics 1: Geometry of Chaos

2 reviews

An advanced introduction to nonlinear dynamics, with emphasis on methods used to analyze chaotic dynamical systems encountered in science and engineering.

• Independent
• 8 weeks, 5-7 hours a week
• Finished
• Free Online Course