Phase Space 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

NPTEL;  IIT Madras

Topics in Nonlinear Dynamics

Explore nonlinear dynamics through critical points, Hamiltonian systems, bifurcations, limit cycles, discrete-time dynamics, and stochastic processes. Gain insights into complex system behaviors and analysis techniques.

• YouTube
• 1 day 5 hours
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course

Ross Dynamics Lab

Hamiltonian Systems Introduction - Why Study Them?

Explore Hamiltonian systems and their advantages in mechanics. Learn about generalized momentum, canonical equations, and the transformation from Lagrangian to Hamiltonian formalism.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Online Course

3Blue1Brown

Differential Equations, a Tourist's Guide

Explore ordinary differential equations through intuitive visualizations, covering concepts like vector fields, phase spaces, and real-world applications in physics and social dynamics.

• YouTube
• 27 minutes
• On-Demand
• Free Online Course

Let's Code Physics

Pendulum Dynamics in Phase Space - Damped Driven Pendulum Simulation

Explore damped driven pendulum behavior through phase space plots, with coding examples in VPython to visualize complex motion and periodic forces.

• YouTube
• 22 minutes
• On-Demand
• Free Online Course

Let's Code Physics

Recap of Simple Harmonic Motion - Beyond Simple Harmonic Motion 1

Comprehensive review of simple harmonic motion, covering key concepts, graphs, and energy behavior. Introduces more complex oscillating systems and provides coding resources for further exploration.

• YouTube
• 30 minutes
• On-Demand
• Free Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course