Bifurcations Courses and Certifications

Introduction to Dynamical Systems and Chaos

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In this course you'll gain an introduction to the modern study of dynamical systems, the interdisciplinary field of applied mathematics that studies systems that change over time.

• Complexity Explorer
• 10 weeks, 3-6 hours a week
• On-Demand
• Free Online Course

• Best of All Time

MonteHeart Lectures

Bifurcations - Troubleshooting

Enhance your knowledge of bifurcations and their troubleshooting techniques in this insightful lecture on complex systems analysis.

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

Fields Institute

Periodic Points, Torsion Points, and Bifurcations

Explore connections between periodic points, torsion points, and bifurcations in algebraic dynamics through advanced mathematical theory and applications.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Chimera States in Mechanical Oscillator Networks by Shashi Thutupalli

Explore chimera states in mechanical oscillator networks, covering synchronization, Kuramoto model, coupled populations, experimental designs, and various chimera phenomena in complex systems.

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

Steve Brunton

Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

Explore dynamical systems: fixed points, linearization, manifolds, bifurcations, and chaos. Gain insights into nonlinear dynamics and their applications in describing our changing world.

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

Ross Dynamics Lab

Bifurcations in 2D, Part 1 - Introduction, Saddle-Node, Pitchfork, Examples

Explore bifurcations in 2D systems, including saddle-node and pitchfork types. Learn how fixed points and closed orbits change with parameter variations, using examples from genetic regulatory systems.

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

Ross Dynamics Lab

Phase Portraits from Potential Energy - Bifurcations - Constraint Forces from Lagrange Multipliers

Explore phase portraits, bifurcations, and constraint forces in dynamical systems. Learn graphical methods, analyze system behavior changes, and understand Lagrangian mechanics with practical applications.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Bifurcations and Multistability in Adaptive Vascular Networks

Explore bifurcations and multistability in adaptive vascular networks, uncovering complex dynamics and emergent behaviors in biological systems.

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

Institut Henri Poincaré

Noise-Driven Bifurcations in Neural Field Systems Modeling Grid Cell Networks

Explore noise-driven bifurcations in neural field systems, focusing on grid cell network modeling and their implications for spatial navigation.

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

Institut des Hautes Etudes Scientifiques (IHES)

Elliptic Surfaces, Equidistribution, and Bifurcations

Explore arithmetic intersection numbers of elliptic surface sections over number fields, Bogomolov-type extensions, and connections to Zilber Pink conjectures in this advanced mathematics lecture.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Elliptic Surfaces, Equidistribution, and Bifurcations

Explore arithmetic intersection numbers of elliptic surface sections over number fields, Bogomolov-type extensions, and connections to Zilber Pink conjectures in this advanced mathematics lecture.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Artem Kirsanov

Elegant Geometry of Neural Computations - Understanding Phase Portraits and Bifurcations

Explore the geometric principles behind neural computations, from phase portraits to bifurcations, understanding how neurons achieve excitability, bistability, and resonant oscillations through mathematical modeling.

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

Ross Dynamics Lab

Bifurcations in 2D, Part 4 - Global Bifurcations, Limit Cycle Creation - Homoclinic Bifurcation

Explores global bifurcations in 2D systems, focusing on limit cycle creation through saddle-node, SNIPER, and homoclinic bifurcations. Examines universal behaviors and applications to biological systems.

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

Applied Algebraic Topology Network

Detecting Bifurcations in Dynamical Systems with Zigzag Persistent Homology

Explore zigzag persistent homology for efficient detection of bifurcations in dynamical systems, reducing computational costs and capturing topological changes in a single persistence diagram.

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

Instituto de Matemática Pura e Aplicada

Complex Dynamics in the Tropics - Lattès Maps and Bifurcations

Explore Lattès maps, bifurcations, and complex dynamics in tropical mathematics. Delve into holomorphic dynamics, bifurcation theory, and algebraic varieties with expert insights.

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