Dynamical systems

Heteroclinic network

In mathematics, a heteroclinic network is an invariant set in the phase space of a dynamical system. It can be thought of loosely as the union of more than one heteroclinic cycle. Heteroclinic networks arise naturally in a number of different types of applications, including fluid dynamics and populations dynamics. The dynamics of trajectories near to heteroclinic networks is intermittent: trajectories spend a long time performing one type of behaviour (often, close to equilibrium), before switching rapidly to another type of behaviour. This type of intermittent switching behaviour has led to several different groups of researchers using them as ways to model and understand various type of neural dynamics. (Wikipedia).

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Graph Neural Networks, Session 2: Graph Definition

Types of Graphs Common data structures for storing graphs

From playlist Graph Neural Networks (Hands-on)

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the Internet (part 2)

An intro to the core protocols of the Internet, including IPv4, TCP, UDP, and HTTP. Part of a larger series teaching programming. See codeschool.org

From playlist The Internet

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Basic Concepts in Number Theory & Finite Fields: Part 1

It covers Euclid's Algorithm, Euclid's Algorithm: Tabular Method, Modular Arithmetic, Modular Arithmetic Operations, Modular Arithmetic Properties, Group, Cyclic Group, Ring, Field, Finite Fields or Galois Fields, Polynomial Arithmetic, Polynomial Arithmetic with Mod 2 Coefficients.

From playlist Network Security

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Martin Lo (10/21/20): The topology of the 3 body problem & space

Title: The topology of the 3 body problem & space The seminal work of Charles Conley in the 1960s on the topological structure of invariant manifolds in the Circular Restricted 3 Body Problem (CR3BP) continues to have a profound influence today on the design of space missions and our unde

From playlist AATRN 2020

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Basic Concepts in Number Theory & Finite Fields: Part 2

It covers Euclid's Algorithm, Euclid's Algorithm: Tabular Method, Modular Arithmetic, Modular Arithmetic Operations, Modular Arithmetic Properties, Group, Cyclic Group, Ring, Field, Finite Fields or Galois Fields, Polynomial Arithmetic, Polynomial Arithmetic with Mod 2 Coefficients.

From playlist Network Security

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Particle trajectories integrated through the double gyre illustrate heteroclinic tangle

This movie illustrates the chaotic motion of particles in the double gyre vector field. Particle trajectories that start near the backward-time Lagrangian coherent structure (LCS) ridge are integrated backward in time, where they begin to adhere to the positive-time LCS ridge. The time-d

From playlist Finite-time Lyapunov exponents

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Capturing Turbulent Dynamics and Statistics in Experiments using Exact.... by Balachandra Suri

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From playlist Seminar Series

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Huy Nguyen: Brakke Regularity for the Allen-Cahn Flow

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From playlist MATRIX-SMRI Symposium: Singularities in Geometric Flows

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Star Network - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

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Using a set of points determine if the figure is a parallelogram using the midpoint formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

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Geometric Models of Cell Fate Specification by Archisman Raju

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From playlist 8th Indian Statistical Physics Community Meeting-ispcm 2023

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Theodore Vo: Canards, Cardiac Cycles, and Chimeras

Abstract: Canards are solutions of singularly perturbed ODEs that organise the dynamics in phase and parameter space. In this talk, we explore two aspects of canard theory: their applications in the life sciences and their ability to generate new phenomena. More specifically, we will use

From playlist SMRI Seminars

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From Microscopics to Phenomenology: Geometric models for cell fate specification by Archishman Raju

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From playlist ICTS Colloquia

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Multilayer Neural Networks - Part 2: Feedforward Neural Networks

This video is about Multilayer Neural Networks - Part 2: Feedforward Neural Networks Abstract: This is a series of video about multi-layer neural networks, which will walk through the introduction, the architecture of feedforward fully-connected neural network and its working principle, t

From playlist Neural Networks

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Introduction to Hydrodynamic Instability (Lecture 2) by Rama Govindarajan

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From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)

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Felix Schulze: A relative entropy and a unique continuation result for Ricci expanders

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From playlist MATRIX-SMRI Symposium: Singularities in Geometric Flows

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Determining if a set of points makes a parallelogram or not

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

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DDPS | Charting dynamics from data

In this DDPS talk from April 8, 2022, Daniel Floryan (University of Houston) presents recent work that fruitfully combines a classical idea from applied mathematics with modern methods of machine learning to learn minimal dynamical models directly from time series data. Description: We of

From playlist Data-driven Physical Simulations (DDPS) Seminar Series

Related pages

Heteroclinic cycle | Mathematics | Phase space | Dynamical system