In physics and mathematics, the Hadamard dynamical system (also called Hadamard's billiard or the Hadamard–Gutzwiller model) is a chaotic dynamical system, a type of dynamical billiards. Introduced by Jacques Hadamard in 1898, and studied by Martin Gutzwiller in the 1980s, it is the first dynamical system to be proven chaotic. The system considers the motion of a free (frictionless) particle on the Bolza surface, i.e, a two-dimensional surface of genus two (a donut with two holes) and constant negative curvature; this is a compact Riemann surface. Hadamard was able to show that every particle trajectory moves away from every other: that all trajectories have a positive Lyapunov exponent. Frank Steiner argues that Hadamard's study should be considered to be the first-ever examination of a chaotic dynamical system, and that Hadamard should be considered the first discoverer of chaos. He points out that the study was widely disseminated, and considers the impact of the ideas on the thinking of Albert Einstein and Ernst Mach. The system is particularly important in that in 1963, Yakov Sinai, in studying Sinai's billiards as a model of the classical ensemble of a Boltzmann–Gibbs gas, was able to show that the motion of the atoms in the gas follow the trajectories in the Hadamard dynamical system. (Wikipedia).
The Anatomy of a Dynamical System
Dynamical systems are how we model the changing world around us. This video explores the components that make up a dynamical system. Follow updates on Twitter @eigensteve website: eigensteve.com
From playlist Research Abstracts from Brunton Lab
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
Thermodynamic System | Open, Closed, Adiabatic, Isolated | Statistical Mechanics
In this video, we will define a thermodynamic system, in particular what kinds of thermodynamic systems there are and how they can interact with their surroundings. References: [1] Ansermet, Brechet, "Principles of Thermodynamics", Cambridge University Press (2019). Follow us on Insta
From playlist Thermodynamics, Statistical Mechanics
Ludovic Rifford : Geometric control and dynamics
Abstract: The geometric control theory is concerned with the study of control systems in finite dimension, that is dynamical systems on which one can act by a control. After a brief introduction to controllability properties of control systems, we will see how basic techniques from control
From playlist Dynamical Systems and Ordinary Differential Equations
DamienThomine: Precise statistical properties of the geodesic flow on periodic hyperbolic manifolds
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Dynamical Systems and Ordinary Differential Equations
From Classical to Quantum Stochastic Process by Soham Biswas
DISCUSSION MEETING STATISTICAL PHYSICS: RECENT ADVANCES AND FUTURE DIRECTIONS (ONLINE) ORGANIZERS: Sakuntala Chatterjee (SNBNCBS, Kolkata), Kavita Jain (JNCASR, Bangalore) and Tridib Sadhu (TIFR, Mumbai) DATE: 14 February 2022 to 15 February 2022 VENUE: Online In the past few dec
From playlist Statistical Physics: Recent advances and Future directions (ONLINE) 2022
Lecture 24: Entanglement: QComputing, EPR, and Bell's Theorem
MIT 8.04 Quantum Physics I, Spring 2013 View the complete course: http://ocw.mit.edu/8-04S13 Instructor: Allan Adams In this lecture, Prof. Adams discusses the basic principles of quantum computing. No-cloning theorem and Deutsch-Jozsa algorithm are introduced. The last part of the lectur
From playlist 8.04 Quantum Physics I - Prof. Allan Adams
Data-Driven Dynamical Systems Overview
This video provides a high-level overview of this new series on data-driven dynamical systems. In particular, we explore the various challenges in modern dynamical systems, along with emerging techniques in data science and machine learning to tackle them. The two chief challenges are 1)
From playlist Data-Driven Dynamical Systems with Machine Learning
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Quantum physics and the computational lens - Dorit Aharonov
A Celebration of Mathematics and Computer Science Celebrating Avi Wigderson's 60th Birthday October 5 - 8, 2016 More videos on http://video.ias.edu
From playlist Mathematics
Thomas Stoll: On generalised Rudin-Shapiro sequences
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 26, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Nathan Wiebe - Quantum Simulation - IPAM at UCLA
Recorded 23 February 2023. Nathan Wiebe of the University of Toronto presents "Quantum Simulation" at IPAM's Winter School on Contemporary Quantum Algorithms and Applications. Learn more online at: http://www.ipam.ucla.edu/programs/special-events-and-conferences/winter-school-on-contempora
From playlist 2023 Winter School on Contemporary Quantum Algorithms and Applications
Classical Verification of Quantum Computations - Urmila Mahadev
Computer Science/Discrete Mathematics Seminar I Topic: Classical Verification of Quantum Computations Speaker: Urmila Mahadev Affiliation: UC Berkeley Date: November 26, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Bernhard Maschke : Hamiltonian control systems for open Irreversible Thermodynamic systems
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 30, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Geometry
Quantum computation (Lecture 02) by Peter Young
ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 27 June 2018 to 13 July 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the ninth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics
From playlist Bangalore School on Statistical Physics - IX (2018)
Quantum computation ( Lecture 01) by Peter Young
ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 27 June 2018 to 13 July 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the ninth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics
From playlist Bangalore School on Statistical Physics - IX (2018)
Reactive Systems use a high-performance software architecture. They are resilient under stress, and their reactive design allows them to scale elastically to meet demand. The reactive design approach allows the creation of more complex, more flexible systems and forms the basis for some of
From playlist Software Engineering
Kevin Kelly - Machine Learning Enhanced Compressive Hyperspectral Imaging - IPAM at UCLA
Recorded 02 December 2022. Kevin Kelly of Rice University Electrical and Computer Engineering presents "Machine Learning Enhanced Compressive Hyperspectral Imaging" at IPAM's Multi-Modal Imaging with Deep Learning and Modeling Workshop. Abstract: This talk reviews approaches to combine com
From playlist 2022 Multi-Modal Imaging with Deep Learning and Modeling
Simulating the Lorenz System in Matlab
This video shows how simple it is to simulate dynamical systems, such as the Lorenz system, in Matlab, using ode45. These lectures follow Chapter 7 from: "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz Amazon: https://www.am
From playlist Data-Driven Dynamical Systems
Quantum computation (Lecture 03) by Peter Young
ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 27 June 2018 to 13 July 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the ninth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics
From playlist Bangalore School on Statistical Physics - IX (2018)