Phase Space Courses and Certifications

Introduction to Dynamical Systems and Chaos

132 reviews

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

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 Video

Let's Code Physics

Gravity Simulator - Exploring Motion in Phase Space - Episode 4

Explore phase space plots in gravity simulations, offering deeper insights into system behavior beyond real-space animations. Includes VPython code examples and references to Stephen Hawking.

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

Let's Code Physics

Gravity Simulator - Poincare Maps in Phase Space - Episode 5

Explore Poincare maps in phase space plots with cool animations, enhancing understanding of gravitational systems through visual representations.

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

BIMSA

Computational Quantum Mechanics in Phase Space - An Attempt to Break the Curse of Dimensionality

Explore computational quantum mechanics in phase space, focusing on breaking the curse of dimensionality through grid-based and particle-based methods for high-dimensional Wigner quantum dynamics simulations.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Dot Physics

Classical Mechanics: Hamiltonian Solution for a Mass on a Spring - Phase Space Included

Explore the Hamiltonian mechanics approach to modeling a mass on a spring, including phase space analysis and Python implementation.

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

Conference GSI

The Phase Space Description of the Geodesics on the Statistical Model on a Finite Set - Trajectory

Explore geodesics on statistical models using phase space descriptions, focusing on finite sets and trajectories in information geometry.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Classical Phase Space Representations of Density Operators with Classical Probability Distributions

Explore quantum mechanics through classical phase space representations of density operators, examining Wigner and Gabor transforms to create true probability distributions for fermionic systems.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Integrability in Hyperboloidal Scattering - Cauchy Structure and Extended Phase Space

Explore integrability in hyperboloidal gravitational scattering, examining how Schwarzschild dynamics change from Cauchy to hyperboloidal contexts and phase space extensions.

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

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 Video

Ross Dynamics Lab

Lagrange’s Equations with Conservative and Non-Conservative Forces - Phase Space Introduction

Explore Lagrange's equations for conservative and non-conservative forces, rigid body systems, and phase space analysis. Learn to solve and classify motions using advanced analytical dynamics techniques.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Covariant Phase Space with Boundaries - Daniel Harlow

Explore covariant phase space with boundaries in field theory, covering key concepts like configuration space, prephase space, and Hamiltonian construction.

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

Dot Physics

Sketching a Phase Space Plot for a Simple Harmonic Oscillator

Explore phase space plots for simple harmonic oscillators through hands-on coding and visualization techniques.

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

International Centre for Theoretical Sciences

Wald's Covariant Phase Space Formalism - Lecture 5

Explore Wald's covariant phase space formalism in gravitational physics, focusing on its applications to compact objects and implications for testing general relativity in strong-field regimes.

• YouTube
• 1 hour 55 minutes
• On-Demand
• Free Video

Kavli Institute for Theoretical Physics

Constraining Ωm with Phase-Space Information of Galaxies - Natali Soler Matubaro De Santi

Explore innovative techniques for constraining the matter density parameter using galaxy phase-space data, combining astrostatistics and machine learning to advance our understanding of cosmic structure formation.

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