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
In this video, we explore the differences between starting with a random dot in a regular hexagon and iterating the procedure of choosing a hexagon vertex at random and moving either half the distance from the current dot to the chosen vertex OR two thirds the distance from the current dot
From playlist Fractals
Chaos4 Oscillations :The swing
From playlist Chaos English
In this short, we show what happens when iterating the procedure of choosing a hexagon vertex at random and moving wo thirds the distance from the current dot to the chosen vertex. If you like this video, check out my others and consider subscribing. Thanks! #chaos #chaosgame #hexagon #
From playlist Fractals
MAE5790-25 Using chaos to send secret messages
Lou Pecora and Tom Carroll's work on synchronized chaos. Proof of synchronization by He and Vaidya, using a Liapunov function. Kevin Cuomo and Alan Oppenheim's approach to sending secret messages with chaos. Secure versus private communications. Anecdotes about Princess Diana, the early da
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
The Surprising Secret of Synchronization
How does order spontaneously arise out of chaos? This video is sponsored by Kiwico — go to https://www.kiwico.com/Veritasium50 for 50% off your first month of any crate. An enormous thanks to Prof. Steven Strogatz — this video would not have been possible without him. Much of the script-w
From playlist Differential Equations
Lecture: Application of Runge-Kutta to Chaotic Dynamics and the Double Pendulum
We finish by considering the physical application of a double pendulum and a numerical model for its motion, demonstrating the chaotic behavior induced in the motion.
From playlist Beginning Scientific Computing
ME564 Lecture 20: Chaos in ODEs (Lorenz and the double pendulum)
ME564 Lecture 20 Engineering Mathematics at the University of Washington Chaos in ODEs (Lorenz and the double pendulum) Course Website: http://faculty.washington.edu/sbrunton/me564/ http://faculty.washington.edu/sbrunton/
From playlist Engineering Mathematics (UW ME564 and ME565)
Delay Dynamical Systems (Lecture 2) by Debabrata Biswas
PROGRAM TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID) ORGANIZERS: Partha Sharathi Dutta (IIT Ropar, India), Vishwesha Guttal (IISc, India), Mohit Kumar Jolly (IISc, India) and Sudipta Kumar Sinha (IIT Ropar, India) DATE: 19 September 2022 to 30 September 2022 VENUE: Ramanujan Lecture Hall an
From playlist TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID, 2022)
1. Introduction to Human Behavioral Biology
(March 29, 2010) Stanford professor Robert Sapolsky gave the opening lecture of the course entitled Human Behavioral Biology and explains the basic premise of the course and how he aims to avoid categorical thinking. Stanford University http://www.stanford.edu Stanford Department of Biol
From playlist Lecture Collection | Human Behavioral Biology
Theory of synchronization - CEB T2 2017 - Pikovsky - 1/3
Arkady Pikovsky (Univ. Potsdam) - 18/04/17 Theory of synchronization 1) Basics - oscillators, phase and amplitudes - isochrons and phase response curve - phase dynamics under small forcing - phase locking and frequency entrainment - beyond phase approximation - effects of noise -
From playlist 2017 - T2 - Stochastic Dynamics out of Equilibrium - CEB Trimester
Mathematical games around Quaternary ice ages - Crucifix - Workshop 1 - CEB T3 2019
Crucifix (Earth and Life Institute, UCLouvain) / 09.10.2019 Mathematical games around Quaternary ice ages After the glaciation of Antarctica (which became definitive around 15 Ma (million years) ago), the glaciation of the Northern Hemisphere started around 3 Myr ago. It defines the e
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Erik Bollt - Identify Interactions in Complex Networked Dynamical Systems through Causation Entropy
Recorded 30 August 2022. Erik Bollt of Clarkson University Math/ECE presents "Identifying Interactions in Complex Networked Dynamical Systems through Causation Entropy" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond. Abstract: Inferring the cou
From playlist 2022 Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond
Chaos9 La recherche aujourd'hui
From playlist Chaos français