Bifurcation Theory Courses and Certifications

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

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
• On-Demand
• 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
• On-Demand
• Free Video

Ross Dynamics Lab

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

2 reviews

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
• On-Demand
• Free Video

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
• On-Demand
• Free Online Course

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
• On-Demand
• 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
• On-Demand
• Free Online Course

Complexity Explorer

Nonlinear Dynamics - Introduction to Chaos Theory and Complex Systems

Explore chaotic systems, bifurcations, attractors, and fractal dimensions through mathematical modeling, ODE solving, and time series analysis techniques.

• YouTube
• 9 hours 43 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

International Centre for Theoretical Sciences

Tipping Points in Complex Systems

Explore critical transitions in complex systems through dynamical theory, early warning signals, stochastic processes, and real-world applications in climate, ecology, and biology.

• YouTube
• 1 day 11 hours 3 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamical Systems

Explore mathematical systems that evolve over time through 20 comprehensive lectures covering fundamental theory, applications, and advanced concepts in dynamical systems.

• YouTube
• 1 day 4 hours 18 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamical Systems - Lecture 17

Explore advanced concepts in dynamical systems theory, focusing on complex mathematical principles and their applications in modeling real-world phenomena.

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamical Systems - Lecture 15

Explore advanced concepts in dynamical systems theory, focusing on complex mathematical principles and their applications in modeling and analyzing evolving systems over time.

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

ICTP Mathematics

Dynamical Systems - Lecture 12

Explore advanced concepts in dynamical systems theory, focusing on complex mathematical principles and their applications in modeling and analyzing dynamic phenomena.

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

ICTP Mathematics

Dynamical Systems - Lecture 10

Explore advanced concepts in dynamical systems theory, focusing on complex mathematical principles and their applications in modeling real-world phenomena.

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