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Hamiltonian Dynamics

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Explore the principles of Hamiltonian dynamics, including nonlinear systems, geometric integration, and simulation techniques for both classical and quantum models. Learn foundational concepts and practical applications through beginner-friendly video lectures from top institutions on YouTube. Ideal for physics, mathematics, and engineering enthusiasts seeking hands-on understanding.

268 courses

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Ross Dynamics Lab
Periodic Systems and Periodic Motion - Parametric Resonance Tongues of Instability, Mathieu Equation

Explore periodic systems, parametric resonance, and the Mathieu equation. Learn about resonance tongues, stability analysis, and the fascinating Kapitza pendulum phenomenon in nonlinear dynamics.
- YouTube
- 1 hour 11 minutes
- Self-Paced
- Free Video
Ross Dynamics Lab
Integrable and Non-Integrable Hamiltonian Systems - KAM Tori - Poincare Sections - Poisson Brackets

Explore integrable and non-integrable Hamiltonian systems, KAM theory, Poincaré sections, and Poisson brackets in this advanced dynamics lecture, offering insights into complex nonlinear systems and their behavior.
- YouTube
- 1 hour 14 minutes
- Self-Paced
- Free Video
International Centre for Theoretical Sciences
Introduction to Classical and Quantum Integrable Systems by Leon Takhtajan

Explore classical and quantum integrable systems, from historical examples to modern developments. Learn about Hamiltonian mechanics, r-matrix formalism, and the quantum Yang-Baxter equation.
- YouTube
- 1 hour 22 minutes
- Self-Paced
- Free Video
International Centre for Theoretical Sciences
Asymmetry in Dynamics

Explore symmetries in dynamical systems and progress on Smale's conjecture about generic smooth systems having only trivial symmetries. Delve into complex analytic, Hamiltonian, and smooth dynamics.
- YouTube
- 45 minutes
- Self-Paced
- Free Video
Dot Physics
Hamiltonian Mechanics: Mass on a Cone with Gravity

Explore Hamiltonian mechanics through a mass-on-cone problem, using Python to model and analyze the motion in a gravitational field.
- YouTube
- 31 minutes
- Self-Paced
- Free Video
Dot Physics
Hamiltonian: Particle on a Frictionless Cylinder with a Force

Explore particle motion on a frictionless cylinder under external force using Hamilton's equations and Python simulation.
- YouTube
- 26 minutes
- Self-Paced
- Free Video
Dot Physics
Hamiltonian Mechanics for Projectile Motion in Polar Coordinates

Explore Hamiltonian mechanics for projectile motion using polar coordinates, with Python code implementation for practical understanding.
- YouTube
- 26 minutes
- Self-Paced
- Free Video
Dot Physics
Hamiltonian Mechanics for Projectile Motion and the Liouville Theorem

Explore Hamiltonian mechanics applied to projectile motion, including an examination of the Liouville Theorem in this advanced physics discussion.
- YouTube
- 24 minutes
- Self-Paced
- Free Video
Dot Physics
Newtonian, Lagrangian, and Hamiltonian Methods for Simple Pendulum Motion

Explore three methods for deriving pendulum equations of motion: Newtonian, Lagrangian, and Hamiltonian. Compare approaches and visualize results using Python.
- YouTube
- 39 minutes
- Self-Paced
- Free Video
Simons Institute
A Theory of Trotter Error

Explores advanced theory of Trotter error in quantum simulation, providing tighter error bounds and improved algorithms for various quantum systems and observables.
- YouTube
- 1 hour 3 minutes
- Self-Paced
- Free Video
Dot Physics
Classical Mechanics - Introduction to Lagrangian Mechanics

Explore the fundamental principles of Lagrangian mechanics, a powerful mathematical framework for analyzing physical systems and understanding classical mechanics.
- YouTube
- 24 minutes
- Self-Paced
- Free Video
Discover AI
AI Discovers Physics: Lagrangian and Hamiltonian Neural Networks

Explore how emerging deep learning frameworks like Hamiltonian and Lagrangian neural networks are revolutionizing the discovery of physical laws through automatic differentiation and multi-system data integration.
- YouTube
- 27 minutes
- Self-Paced
- Free Video
Discover AI
New AI Models for Solving Hamiltonian Mechanics - From Operator Theory to Neural Networks

Explore groundbreaking AI neural networks VaRONet and MambONet that revolutionize solving Hamiltonian mechanics through operator learning, bypassing traditional differential equations for efficient physical system modeling.
- YouTube
- 22 minutes
- Self-Paced
- Free Video
Qiskit
How to Simulate Quantum Measurement Without Computing Marginals

Delve into advanced quantum measurement simulation techniques, focusing on efficient amplitude computation methods and Markov Chain applications for ground state sampling in quantum systems.
- YouTube
- 1 hour 5 minutes
- Self-Paced
- Free Video
Instituto de Matemática Pura e Aplicada
Conservative Dynamics and Symplectic Geometry Workshop 2023

Explore advanced topics in conservative dynamics and symplectic geometry through expert lectures covering Hamiltonian dynamics, contact geometry, integrable systems, and Aubry-Mather theory.
- YouTube
- 15 hours 9 minutes
- Self-Paced
- Free Video

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