A Hamiltonian system is a dynamical system governed by Hamilton's equations. In physics, this dynamical system describes the evolution of a physical system such as a planetary system or an electron in an electromagnetic field. These systems can be studied in both Hamiltonian mechanics and dynamical systems theory. (Wikipedia).
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Hamiltonian Mechanics in 10 Minutes
In this video I go over the basics of Hamiltonian mechanics. It is the first video of an upcoming series on a full semester university level Hamiltonian mechanics series. Corrections -4:33 the lagrangian should have a minus sign between the first two terms, not a plus.
From playlist Summer of Math Exposition 2 videos
Discrete-Time Dynamical Systems
This video shows how discrete-time dynamical systems may be induced from continuous-time systems. https://www.eigensteve.com/
From playlist Data-Driven Dynamical Systems
Physics 69 Hamiltonian Mechanics (1 of 18) What is Hamiltonian Mechanics?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is Hamiltonian mechanics, how are the equations derived, how the Hamiltonian equations will simplified into classical mechanics equations. To donate: http://www.ilectureonline.com/donate
From playlist PHYSICS 69 ADVANCED MECHANICS: HAMILTONIAN MECHANICS
Derivation of Hamilton's Equations of Motion | Classical Mechanics
Hamilton’s equations of motion describe how a physical system will evolve over time if you know about the Hamiltonian of this system. 00:00 Introduction 00:12 Prerequisites 01:01 Derivation 01:47 Comparing Coefficients 02:27 Example If you want to read more about the Lagrangian form
From playlist Classical Mechanics
Graph Theory: Hamiltonian Graphs
This video is about Hamiltonian graphs and some of their basic properties.
From playlist Basics: Graph Theory
Intro to Linear Systems: 2 Equations, 2 Unknowns - Dr Chris Tisdell Live Stream
Free ebook http://tinyurl.com/EngMathYT Basic introduction to linear systems. We discuss the case with 2 equations and 2 unknowns. A linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that ar
From playlist Intro to Linear Systems
Hamiltonian Cycles, Graphs, and Paths | Hamilton Cycles, Graph Theory
What are Hamiltonian cycles, graphs, and paths? Also sometimes called Hamilton cycles, Hamilton graphs, and Hamilton paths, we’ll be going over all of these topics in today’s video graph theory lesson! A Hamilton cycle in a graph G is a cycle containing all vertices of G. A Hamilton path
From playlist Graph Theory
Introduction to Hamilton Paths and Hamilton Circuits
This video introduces Hamilton paths and Hamilton circuits. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Hamiltonian Structure of 2D Fluid Dynamics with Broken Parity by Sriram Ganeshan
DISCUSSION MEETING : HYDRODYNAMICS AND FLUCTUATIONS - MICROSCOPIC APPROACHES IN CONDENSED MATTER SYSTEMS (ONLINE) ORGANIZERS : Abhishek Dhar (ICTS-TIFR, India), Keiji Saito (Keio University, Japan) and Tomohiro Sasamoto (Tokyo Institute of Technology, Japan) DATE : 06 September 2021 to
From playlist Hydrodynamics and fluctuations - microscopic approaches in condensed matter systems (ONLINE) 2021
Non-Equilibrium Steady States of Quantum Non-Hermitian Lattice Models by Aashish Clerk
PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a
From playlist Non-Hermitian Physics (ONLINE)
Hamiltonian Simulation and Universal Quantum (...) - T. Cubitt - Main Conference - CEB T3 2017
Toby Cubitt (UCL) / 14.12.2017 Title: Hamiltonian Simulation and Universal Quantum Hamiltonians Abstract: Physical (or "analogue") Hamiltonian simulation involves engineering a Hamiltonian of interest in the laboratory, and studying its properties experimentally (somewhat analogous to b
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Unmasking PT Symmetry by Carl M. Bender
PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a
From playlist Non-Hermitian Physics (ONLINE)
AQC 2016 - Coupled Quantum Fluctuations and Quantum Annealing
A Google TechTalk, June 29, 2016, presented by Layla Hormozi (MIT) ABSTRACT: We study the relative effectiveness of stoquastic and non-stoquastic Hamiltonians consisting of coupled quantum fluctuations compared to Hamiltonians with single spin flips in the performance of quantum annealing.
From playlist Adiabatic Quantum Computing Conference 2016
Symplectic Dynamics of Integrable Hamiltonian Systems - Alvaro Pelayo
Alvaro Pelayo Member, School of Mathematics April 4, 2011 I will start with a review the basic notions of Hamiltonian/symplectic vector field and of Hamiltonian/symplectic group action, and the classical structure theorems of Kostant, Atiyah, Guillemin-Sternberg and Delzant on Hamiltonian
From playlist Mathematics
Lukasz Fidkowski - Floquet topological phases and QCA - IPAM at UCLA
Recorded 01 September 2021. Lukasz Fidkowski of the University of Washington presents "Floquet topological phases and QCA" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Abstract: We discuss topological phenomena beyond the zero temperature equilibrium sett
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Paul Kotyczka: Discrete-time port-Hamiltonian systems and control
CONFERENCE Recorded during the meeting "Energy-Based Modeling, Simulation, and Control of Complex Constrained Multiphysical Systems" the April 21, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other
From playlist Control Theory and Optimization
C48 Systems of linear differential equations
A first look at systems of linear ordinary differential equations. This video includes a solved sample problem.
From playlist Differential Equations
Physics of Quantum Annealing - Hamiltonian and Eigenspectrum
In this video we delve into the physics that describe quantum annealing: the Hamiltonian and Eigenspectrum. These are useful pictures of what is going on in the quantum annealing process. Find out more on our website https://www.dwavesys.com/quantum-computing Get one free minute of direct
From playlist Videos I made for D-Wave Systems