Dynamical Systems Courses and Certifications

Instituto de Matemática Pura e Aplicada

On the Denseness of Finitude of Sinks in Diffeomorphisms of Large Number of Intervals

Explore denseness of finitude of sinks in diffeomorphisms and transformations of large interval numbers. Gain insights from Carlos Gustavo Moreira's presentation at the International Conference on Dynamical Systems.

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

Topos Institute

Computation in Continuous Dynamics

Explore the intersection of computation and continuous dynamics through advanced mathematical concepts and their applications in this theoretical mathematics seminar from Berkeley.

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

Instituto de Matemática Pura e Aplicada

Perturbations of Parabolic Endomorphisms in Dimension 2

Explore perturbations of parabolic endomorphisms in 2D with Jasmin Raissy. Gain insights into dynamic systems and their applications in this international mathematics conference talk.

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

Institut des Hautes Etudes Scientifiques (IHES)

Parabolic Dynamics and Renormalization - An Introduction

Explore parabolic dynamical systems and their "slow" chaotic evolution through renormalization techniques, covering linear flows, horocycle flows, nilflows, and area-preserving flows.

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

Introduction to Differential Equations

13 reviews

This tutorial contains excerpts from David Feldman's Dynamical Systems course.

• Complexity Explorer
• 1 hour
• On-Demand
• Free Online Course

Using Curvature to Understand the Structure of Dynamics

Explore curvature's role in understanding attractor dynamics and its application in time-series data reconstruction, focusing on optimal time-delay parameter selection for delay-coordinate embeddings.

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

From Undirected to Directed Networks of Dynamical Agents - Robin Delabays

Explore the impact of directedness in network models, focusing on diffusive interactions and their consequences in systems like power grids, brain networks, and social networks.

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

Autocatalysis and Unstable Cores in Parameter-Rich Chemical Reaction Networks

Explore dynamic instability in chemical reaction networks, focusing on autocatalysis and unstable cores. Gain insights into parameter-rich systems and their implications for network behavior.

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

Homogeneous Dynamics - Part 2 - Lecture 21

Explore quantitative Ratner theorems through Lindenstrauss-Mohammadi's work and discover how projection theory contributes to advanced homogeneous dynamics proofs.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Homogeneous Dynamics - Part 1 - Lecture 20

Explore homogeneous dynamics through projection theory in this MIT mathematics lecture covering fundamental concepts and applications.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

Fields Institute

Toward a Unification of Infinities

Explore the concept of unifying different types of infinities in mathematics, delving into advanced theoretical frameworks and their implications for transseries and dynamical systems.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Fields Institute

Rigidity of Saddle Loops

Explore the mathematical concept of rigidity in saddle loops, focusing on their properties and applications in dynamical systems theory.

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

Fields Institute

Holomorphic Continuation of R_an,exp - Germs: The Missing Lecture

Explore holomorphic continuation of R_an,exp-germs in this advanced mathematics lecture, delving into complex analysis and dynamical systems.

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

Fields Institute

Smooth Dynamic vs Symbolic Dynamic

Explore the interplay between smooth and symbolic dynamics in this advanced mathematics lecture by Olivier Mathieu, delving into complex theoretical concepts and their applications.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

ICTP Mathematics

SRB Measures and Young Towers - Lecture 4

Explore advanced techniques in dynamical systems, focusing on SRB measures and Young Towers. Learn about recent developments and applications in nonuniformly hyperbolic systems.

• YouTube
• 2 hours 23 minutes
• On-Demand
• Free Video