Bifurcation Theory Courses and Certifications

Introduction to Dynamical Systems and Chaos

131 ratings

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
• Self-Paced
• Free Certificate

• Best of All Time

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
• Self-Paced
• 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
• Self-Paced
• Free Video

Institut Henri Poincaré

Comparing Resilience Concepts in Bifurcating Systems of Intermediate Complexity

Explore resilience concepts in bifurcating systems of intermediate complexity through Andreas Morr's concise mathematical analysis from TUM.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Bifurcations in the Kuramoto Model with External Forcing and Higher-Order Interactions

Explore advanced bifurcation analysis in the Kuramoto model, examining external forcing effects and higher-order interactions in synchronization dynamics.

• YouTube
• 14 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

MonteHeart Lectures

Bifurcations - Troubleshooting

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

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Ross Dynamics Lab

Bifurcation Theory - Saddle-Node, Hopf, Transcritical, Pitchfork

2 ratings

Explore saddle-node, transcritical, pitchfork, and Hopf bifurcations in dynamical systems. Learn how these phenomena affect phase portraits and system behavior as parameters change.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Mastering Differential Equations: The Visual Method

52 ratings at The Great Courses Plus

Embark on an amazing mathematical journey in 24 intellectually stimulating and visually engaging half hour lectures.

• The Great Courses Plus
• 12 hours 33 minutes
• Self-Paced
• Free Trial Available

Introduction to Dynamical Systems and Chaos

Explore dynamical systems, chaos theory, and complex systems. Learn about bifurcations, butterfly effect, strange attractors, and pattern formation. Gain insights into predictability and complexity in nature.

• Complexity Explorer
• Self-Paced
• Free Certificate

Nonlinear Dynamics: Mathematical and Computational Approaches

Explore nonlinear dynamics through mathematical and computational approaches, from chaotic systems to real-world applications. Master numerical solutions, time-series analysis, and practical implementations using programming.

• Complexity Explorer
• Self-Paced
• Free Certificate

A Visual Approach to Nonlinear Dynamics

Discover how simple rules create complex behaviors through animated visuals exploring fixed points, bifurcations, chaos, and strange attractors in physical and biological systems.

• Complexity Explorer
• Self-Paced
• Free Certificate

Nonlinear Dynamical System and Application

Master advanced concepts in nonlinear dynamical systems, from stability and bifurcations to chaos theory, with practical applications in natural sciences, social sciences, and engineering.

• XuetangX
• Self-Paced
• Free Online Course

IIT Guwahati;  NPTEL

Introduction To Dynamical Models In Biology

Explore dynamical models in biology using ODEs. Learn analytical, graphical, and numerical techniques for cellular and molecular processes, from basic concepts to advanced applications.

• Swayam
• 4 weeks
• Available until Aug 14, 2026
• Free Online Course

Ordinary Differential Equations

Master fundamental concepts and practical applications of ordinary differential equations, from basic theory to advanced problem-solving using Matlab, with emphasis on real-world mathematical modeling and computational methods.

• XuetangX
• Self-Paced
• Free Online Course