Differential equations | Dynamical systems
Projected dynamical systems is a mathematical theory investigating the behaviour of dynamical systems where solutions are restricted to a constraint set. The discipline shares connections to and applications with both the static world of optimization and equilibrium problems and the dynamical world of ordinary differential equations. A projected dynamical system is given by the flow to the projected differential equation where K is our constraint set. Differential equations of this form are notable for having a discontinuous vector field. (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
Topics in Dynamical Systems: Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos
This video provides a high-level overview of dynamical systems, which describe the changing world around us. Topics include nonlinear dynamics, linearization at fixed points, eigenvalues and eigenvectors, bifurcations, invariant manifolds, and chaos!! @eigensteve on Twitter eigensteve.co
From playlist Dynamical Systems (with Machine Learning)
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
A solar system, a simulation made with Excel
An Excel simulation of the solar system. You can see how things are recursively computed: the mutual gravity force from the locations, the accelerations, the velocities, and finally the updated locations. The solar eclipse is also shown. This is clip is intended to illustrate Chapter 24 Ap
From playlist Physics simulations
Stanford Seminar - Model Predictive Control of Hybrid Dynamical Systems
Ricardo Sanfelice UC Santa Cruz November 8, 2019 Hybrid systems model the behavior of dynamical systems in which the states can evolve continuously and, at isolate time instances, exhibit instantaneous jumps. Such systems arise when control algorithms that involve digital devices are appl
From playlist Stanford AA289 - Robotics and Autonomous Systems Seminar
Steve Brunton: "Dynamical Systems (Part 2/2)"
Watch part 1/2 here: https://youtu.be/2VBN_dJZLWc Machine Learning for Physics and the Physics of Learning Tutorials 2019 "Dynamical Systems (Part 2/2)" Steve Brunton, University of Washington Institute for Pure and Applied Mathematics, UCLA September 6, 2019 For more information: http
From playlist Machine Learning for Physics and the Physics of Learning 2019
This video introduces chaotic dynamical systems, which exhibit sensitive dependence on initial conditions. These systems are ubiquitous in natural and engineering systems, from turbulent fluids to the motion of objects in the solar system. Here, we discuss how to recognize chaos and how
From playlist Engineering Math: Differential Equations and Dynamical Systems
Ian Alevy: "Renormalizable Rectangle Exchange Maps"
Asymptotic Algebraic Combinatorics 2020 "Renormalizable Rectangle Exchange Maps" Ian Alevy - University of Rochester Abstract: A domain exchange map (DEM) is a dynamical system defined on a smooth Jordan domain which is a piecewise translation. We explain how to use cut-and-project sets
From playlist Asymptotic Algebraic Combinatorics 2020
A (slightly less) brief look into the restricted 3-body problem - Agustin Moreno
Members’ Colloquium Topic: A (slightly less) brief look into the restricted 3-body problem Speaker: Agustin Moreno Affiliation: Member, School of Mathematics Date: October 25, 2021 Despite the fact that the 3-body problem is an ancient conundrum that goes back to Newton, it is remarkabl
From playlist Members’ Colloquium
DDPS | Physics-Informed Learning for Nonlinear Dynamical Systems
Talk Abstract Dynamical modeling of a process is essential to study its dynamical behavior and perform engineering studies such as control and optimization. With the ease of accessibility of data, learning models directly from the data have recently drawn much attention. It is also desir
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
Non-Hermitian Description of the Quasi-Zeno Dynamics of a Quantum Particle by Abhishek Dhar
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)
Detecting a quantum particle by Abhishek Dhar
ICTS IN-HOUSE 2020 Organizers: Amit Kumar Chatterjee, Divya Jaganathan, Junaid Majeed, Pritha Dolai Date:: 17-18th February 2020 Venue: Ramanujan Lecture Hall, ICTS Bangalore inhouse@icts.res.in An exclusive two-day event to exchange ideas and discuss research amongst member
From playlist ICTS In-house 2020
Automorphisms of K3 surfaces – Serge Cantat – ICM2018
Dynamical Systems and Ordinary Differential Equations | Algebraic and Complex Geometry Invited Lecture 9.13 | 4.12 Automorphisms of K3 surfaces Serge Cantat Abstract: Holomorphic diffeomorphisms of K3 surfaces have nice dynamical properties. I will survey the main theorems concerning the
From playlist Algebraic & Complex Geometry
A Theory of Neural Dimensionality, Dynamics and Measurement by Surya Ganguli
ICTS at Ten ORGANIZERS: Rajesh Gopakumar and Spenta R. Wadia DATE: 04 January 2018 to 06 January 2018 VENUE: International Centre for Theoretical Sciences, Bengaluru This is the tenth year of ICTS-TIFR since it came into existence on 2nd August 2007. ICTS has now grown to have more tha
From playlist ICTS at Ten
Boris Hasselblatt - Jean Morlet Chair Nov. 2013 to April 2014
INTERVIEW The Jean Morlet Chair is a scientific collaboration between CIRM -CNRS-SMF-, Aix-Marseille Université and the City of Marseille. Two international calls are launched every year to attract innovative researchers in an area of mathematical sciences. Selected candidates who must co
From playlist Jean-Morlet Chair's holders - Interviews
George Booth - A rigorous framework for embedding realistic interacting quantum systems - IPAM UCLA
Recorded 01 April 2022. George Booth of King's College London presents "A rigorous framework for embedding realistic interacting quantum systems" at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Abstract: We will discuss a recent reformulation of quantum embedding suitable fo
From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop
Bifurcations of chaotic attractors by Viktor Avrutin
PROGRAM DYNAMICS OF COMPLEX SYSTEMS 2018 ORGANIZERS Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE: 16 June 2018 to 30 June 2018 VENUE: Ramanujan hall for Summer School held from 16 - 25 June, 2018; Madhava hall for W
From playlist Dynamics of Complex systems 2018