Bifurcation theory | Chaos theory
A nonlinear dynamical system exhibits chaotic hysteresis if it simultaneously exhibits chaotic dynamics (chaos theory) and hysteresis. As the latter involves the persistence of a state, such as magnetization, after the causal or exogenous force or factor is removed, it involves multiple equilibria for given sets of control conditions. Such systems generally exhibit sudden jumps from one equilibrium state to another (sometimes amenable to analysis using catastrophe theory). If chaotic dynamics appear either prior to or just after such jumps, or are persistent throughout each of the various equilibrium states, then the system is said to exhibit chaotic hysteresis. Chaotic dynamics are irregular and bounded and subject to sensitive dependence on initial conditions. (Wikipedia).
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
What Is Turbulence? Turbulent Fluid Dynamics are Everywhere
Turbulent fluid dynamics are literally all around us. This video describes the fundamental characteristics of turbulence with several examples from nature and from engineering. We discuss how turbulent fluids are unsteady, three-dimensional, mixing, and multiscale. We also describe how
From playlist Fluid Dynamics
Explosive death in coupled oscillators by Manish Shrimali
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
Are there other Chaotic Attractors?
A showcase of chaotic dynamical systems, similar to the Lorenz Attractor, coded in C++ and SFML. Github: https://github.com/xMissingno/Coding-Projects Mathstodon: https://mathstodon.xyz/@xMissingno -------------------------------------------------------------------------------------------
From playlist Differential Equations
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
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
ETH Lecture 08. Nonlinear Dynamics I: Bifurcations and Chaos (10/11/2011)
Course: Systems Dynamics and Complexity (Fall 2011) from ETH Zurich. Source: http://www.video.ethz.ch/lectures/d-mtec/2011/autumn/351-0541-00L.html
From playlist ETH Zürich: Systems Dynamics and Complexity (Fall 2011) | CosmoLearning Mathematics
Modeling the cell cycle (Remote Talk - Lecture 2) by Albert Goldbeter
ORGANIZERS : Vidyanand Nanjundiah and Olivier Rivoire DATE & TIME : 16 April 2018 to 26 April 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This program is aimed at Master's- and PhD-level students who wish to be exposed to interesting problems in biology that lie at the biology-
From playlist Living Matter 2018
Reservoir Computing with a Pendulum by Manish Shrimali
DISCUSSION MEETING NEUROSCIENCE, DATA SCIENCE AND DYNAMICS (ONLINE) ORGANIZERS: Amit Apte (IISER-Pune, India), Neelima Gupte (IIT-Madras, India) and Ramakrishna Ramaswamy (IIT-Delhi, India) DATE : 07 February 2022 to 10 February 2022 VENUE: Online This discussion meeting on Neuroscien
From playlist Neuroscience, Data Science and Dynamics (ONLINE)
Mod-04 Lec-35 Magnetic Properties - II
Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in
Understanding Rolling Resistance!
Rolling resistance is the one of most important concepts in vehicle dynamics. Let's understand it in a simple way. Be our supporter or contributor: https://www.youtube.com/channel/UCqZQJ4600a9wIfMPbYc60OQ/join instagram : https://www.instagram.com/sabinzmathew/ Twitter : https://twitter.c
From playlist Vehicle Dynamics
Charles Proteus Steinmetz: A Fun Scientific Biography (Part 1: 1865-1894)
How and why Charles Proteus Steinmetz came to America, created his theory of hysteresis, the first 3-phase system in the US, and phasors, all before he became the "Wizard of Schenectady." Links: My mailing list: https://kathylovesphysics.ck.page/welcome My Patreon Page: https://www.p
From playlist "The Lightning Tamers": A History of Electricity
Thomas Hudson: Explaining the Mullins effect in filled rubber
Thomas Hudson: Explaining the Mullins effect in filled rubber Filled rubber is an important material for a wide variety of everyday applications. In the late 1960s, it was noted that filled rubbers exhibit stress-strain hysteresis, a phenomenon which is now termed the Mullins effect after
From playlist HIM Lectures 2015
EEVblog #941 - Schmitt Trigger Tutorial
Fundamentals Friday What is a Schmitt trigger and how does it work? What is hysteresis? And how do they fix two common problems in electronics, namely slow slew rate signals on CMOS digital chip inputs causing oscillation, and noise on comparator inputs. The issues are demonstrated first o
From playlist Fundamentals Friday
Mod-09 Lec-23 Relaxor Ferroelectric
Advanced ceramics for strategic applications by Prof. H.S. Maiti,Department of Metallurgy and Material Science,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Advanced Ceramics for Strategic Applications | CosmoLearning.org Materials Science
David Kelly: Fast slow systems with chaotic noise
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 Probability and Statistics