Bifurcation Theory Courses and Certifications

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

IIT Kharagpur;  NPTEL

Advanced Theory of Ordinary Differential Equations

Comprehensive exploration of advanced ODE theory, covering existence, stability, chaos, perturbations, bifurcations, and applications in mechanical and electrical systems. Includes mathematical modeling and solution techniques.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Beijing Jiaotong University

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

International Centre for Theoretical Sciences

Introduction to Dynamical Systems - Lecture 2

Explore non-smooth dynamical systems, bifurcations, and complex networks. Learn about border collision, switched systems, and applications in engineering and natural phenomena.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Dynamical Systems - Lecture 1

Explore dynamical systems, from linear ODEs to nonlinear chaos. Learn about equilibrium points, eigenvalues, attractors, and bifurcations. Gain insights into Lorenz systems, Poincaré maps, and iterative methods.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

IMSA

Bifurcation Phenomena in Geometric Variational Problems

Explore classical Bifurcation Theory and its modern applications in Riemannian Geometry, covering minimal and constant mean curvature surfaces and the Yamabe problem.

• YouTube
• 49 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

ICTP Mathematics

Dynamical Systems - Lecture 8

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

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamical Systems - Lecture 02

Explore advanced concepts in dynamical systems theory, focusing on mathematical principles and applications in complex systems analysis and modeling.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamical Systems - Lecture 03

Explore advanced concepts in dynamical systems theory, focusing on mathematical principles and applications in complex systems analysis and modeling.

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

ICTP Mathematics

Dynamical Systems - Lecture 04

Explore advanced concepts in dynamical systems theory, focusing on mathematical principles and applications in complex systems analysis and modeling.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

ICTP Mathematics

Renormalization in Low Dimensional Dynamics - Lecture 1

Explore renormalization techniques in low-dimensional dynamical systems, focusing on theoretical foundations and practical applications in mathematical analysis.

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