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

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

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

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

Banach Center

Changing the Fibered Multiplier of an Attracting Invariant Curve for a QPF Map

Explore techniques for modifying fibered multipliers of attracting invariant curves in quasi-periodically forced maps, enhancing understanding of dynamical systems.

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

Banach Center

Horn Maps of Semi-Parabolic Hénon Maps

Explore horn maps of semi-parabolic Hénon maps, delving into complex dynamics and mathematical theory with expert Fabrizio Bianchi from the University of Pisa.

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

Banach Center

Hénon-like Renormalization

Explore Hénon-like Renormalization theory and its applications in dynamical systems, presented by Jonguk Yang from the University of Zurich.

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

Banach Center

On a Mandelbrot-Like Set for a Family of Exponential Maps

Explore the intricacies of Mandelbrot-like sets in exponential map families, delving into complex mathematical concepts and their applications.

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

Banach Center

A Family of Rational Maps with One Free Critical Point

Explore rational maps with one free critical point, delving into their properties and implications in complex dynamics.

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

Banach Center

Slices of Cubic Rational Maps with Parabolics

Explore cubic rational maps with parabolics, delving into their slices and mathematical properties. Gain insights into complex dynamics and algebraic geometry.

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

Simons Semester on Dynamics

Newhouse Phenomenon in the Complex Hénon Family

Explore the Newhouse phenomenon in complex Hénon maps, focusing on stable homoclinic tangencies and intersections between dynamical Cantor sets generated by conformal IFSs.

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

PCS Institute for Basic Science

A Bifurcation in the Kuramoto Model on Networks

探索全球耦合相振子系统在网络上的平均场极限,研究从不相干态到部分锁定态的分岔,揭示网络拓扑如何通过特征值问题影响动力学。

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