In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, for a wide variety of starting conditions of the system. System values that get close enough to the attractor values remain close even if slightly disturbed. In finite-dimensional systems, the evolving variable may be represented algebraically as an n-dimensional vector. The attractor is a region in n-dimensional space. In physical systems, the n dimensions may be, for example, two or three positional coordinates for each of one or more physical entities; in economic systems, they may be separate variables such as the inflation rate and the unemployment rate. If the evolving variable is two- or three-dimensional, the attractor of the dynamic process can be represented geometrically in two or three dimensions, (as for example in the three-dimensional case depicted to the right). An attractor can be a point, a finite set of points, a curve, a manifold, or even a complicated set with a fractal structure known as a strange attractor (see below). If the variable is a scalar, the attractor is a subset of the real number line. Describing the attractors of chaotic dynamical systems has been one of the achievements of chaos theory. A trajectory of the dynamical system in the attractor does not have to satisfy any special constraints except for remaining on the attractor, forward in time. The trajectory may be periodic or chaotic. If a set of points is periodic or chaotic, but the flow in the neighborhood is away from the set, the set is not an attractor, but instead is called a repeller (or repellor). (Wikipedia).
There's a strange place in the sky where everything is attracted. And unfortunately, it's on the other side of the Milky Way, so we can't see it. What could be doing all this attracting?
From playlist Guide to Space
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
AWESOME antigravity electromagnetic levitator (explaining simply)
Physics levitron (science experiments)
From playlist ELECTROMAGNETISM
The Attractiveness Of Magnetic Fields
What causes a material to be magnetic? License: Creative Commons BY-NC-SA More information at http://k12videos.mit.edu/terms-conditions
From playlist Physics
Support Stated Clearly on Patreon: https://www.patreon.com/statedclearly Special thanks to Rosemary at Bird and Moon Comics for supplying a handful of the critter illustrations: http://www.birdandmoon.com/ Special thanks to AD for the music! http://www.proofavenue.com/ Natural Selectio
From playlist Most popular from Stated Clearly & Friends
AWESOME Antigravity experiment! Levitron!
I show an interesting commercially available toy that is the highest magnetic levitation device we've seen so far.
From playlist MAGNETISM
Electric Field (1 of 3) An Explanation
Explains how to determine the direction and magnitude of the electric field from charged particles. You can see a listing of all my videos at my website, http://www.stepbystepscience.com An electric field is an area that surrounds an electric charge, and exerts force on other charges in t
From playlist Electricity and Magnetism
Lai-Sang Young: A mathematical Theory of Strange Attractors
This lecture was held at The University of Oslo, May 24, 2006 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2006 1. “A Scandinavian Chapter in Analysis” by Lennart Carleson, Kungliga Tekniska Högskolan, Swed
From playlist Abel Lectures
Coding Challenge #56: Attraction and Repulsion Forces
In this Coding Challenge, I implement a system of particles that respond to attraction / repulsion forces. 💻Challenge Webpage: https://thecodingtrain.com/CodingChallenges/056-attraction-repulsion.html Links discussed in this video: 🔗Vectors Video: https://youtu.be/vqE8DMfOajk 🚂Website:
From playlist The Nature of Code: Simulating Natural Systems
MAE5790-18 Strange attractor for the Lorenz equations
Defining attractor, chaos, and strange attractor. Transient chaos in games of chance. Dynamics on the Lorenz attractor. Reduction to a 1-D map: the Lorenz map. Ruling out stable limit cycles for the Lorenz system when r = 28. Cobweb diagrams. Reading: Strogatz, "Nonlinear Dynamics and Ch
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
Luca Mazzucato - Computational Principles Underlying the Temporal Organization of Behavior
Naturalistic animal behavior exhibits a striking amount of variability in the temporal domain along at least three independent axes: hierarchical, contextual, and stochastic. First, a vast hierarchy of timescales links movements into behavioral sequences and long-term activities, from mill
From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday
Non-equilibrium Attractor in High-temperature QCD Plasmas by Michael Strickland
DISCUSSION MEETING EXTREME NONEQUILIBRIUM QCD (ONLINE) ORGANIZERS: Ayan Mukhopadhyay (IIT Madras) and Sayantan Sharma (IMSc Chennai) DATE & TIME: 05 October 2020 to 09 October 2020 VENUE: Online Understanding quantum gauge theories is one of the remarkable challenges of the millennium
From playlist Extreme Nonequilibrium QCD (Online)
2.5 Gravitational Attraction - The Nature of Code
In this video, I demonstrate how to apply Newton's Law of Universal Gravitation in p5.js using vectors and forces. 💻Code: https://thecodingtrain.com/learning/nature-of-code/2.5-gravitational-attraction.html 📗NOC Chapter: https://natureofcode.com/book/chapter-2-forces/ 🎥All: https://www.yo
From playlist The Nature of Code 2
Carina Curto - Graph rules and topological insights for inhibitory network dynamics
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From playlist Workshop "Workshop on Mathematical Modeling and Statistical Analysis in Neuroscience" - January 31st - February 4th, 2022
2.6: Gravitational Attraction - The Nature of Code
Chapter: 2 Official book website: http://natureofcode.com/ Twitter: https://twitter.com/shiffman This video covers attraction forces (modeled after gravity) between objects. Read along: http://natureofcode.com/book/chapter-2-forces/#chapter02_section9 Code: https://github.com/shiffman
From playlist The Nature of Code: Simulating Natural Systems
Rate-Induced Tipping in Asymptotically Autonomous Dynamical Systems: Theory.. by Sebastian Wieczorek
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)
The Great Attractor - Mystery of the Universe
You can buy Universe Sandbox 2 game here: https://goo.gl/fuEv5s Hello and welcome to What Da Math! In this video, we will talk about The Great Attractor Support this channel on Patreon to help me make this a full time job: https://www.patreon.com/user?u=2318196&ty=h Space Engine is avail
From playlist Universe Sandbox 2
Magnetism (2 of 13) Why are Magnets Magnetic, An Explanation
An explanation of why magnets are magnetic. Ever wondered why some pieces of metal stick together and some don't? Watch this video and find out why. It is amazing. A magnet is a material or object that produces a magnetic field. This magnetic field is invisible but is responsible for t
From playlist Magnets, Magnetism and Charges in Magnetic Fields