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).
Graph Neural Networks, Session 2: Graph Definition
Types of Graphs Common data structures for storing graphs
From playlist Graph Neural Networks (Hands-on)
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
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
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
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
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
Capturing Turbulent Dynamics and Statistics in Experiments using Exact.... by Balachandra Suri
SEMINAR Capturing Turbulent Dynamics and Statistics in Experiments using Exact Coherent States Speaker: Balachandra Suri (Institute of Science and Technology, Austria) Date: Thursday, 21 January 2021, Venue: Online seminar Turbulence is widely regarded as the last unsolved pro
From playlist Seminar Series
Huy Nguyen: Brakke Regularity for the Allen-Cahn Flow
Abstract: In this paper we prove an analogue of the Brakke's $\epsilon$-regularity theorem for the parabolic Allen--Cahn equation. In particular, we show uniform $C^{2,\alpha}$ regularity for the transition layers converging to smooth mean curvature flows as $\epsilon\rightarrow 0$. A corr
From playlist MATRIX-SMRI Symposium: Singularities in Geometric Flows
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
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
Geometric Models of Cell Fate Specification by Archisman Raju
DISCUSSION MEETING 8TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS: Ranjini Bandyopadhyay (RRI, India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Samriddhi Sankar Ray (ICTS-TIFR, India), Sanjib Sabhapandit (RRI, India) and Prer
From playlist 8th Indian Statistical Physics Community Meeting-ispcm 2023
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
From Microscopics to Phenomenology: Geometric models for cell fate specification by Archishman Raju
COLLOQUIUM FROM MICROSCOPICS TO PHENOMENOLOGY: GEOMETRIC MODELS FOR CELL FATE SPECIFICATION SPEAKER: Archishman Raju (NCBS - TIFR, Bengaluru) DATE: Mon, 27 September 2021, 15:30 to 17:00 VENUE: Online Colloquium ABSTRACT Microscopic models of cell fate specification in developing embr
From playlist ICTS Colloquia
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
Introduction to Hydrodynamic Instability (Lecture 2) by Rama Govindarajan
DISCUSSION MEETING WAVES, INSTABILITIES AND MIXING IN ROTATING AND STRATIFIED FLOWS (ONLINE) ORGANIZERS: Thierry Dauxois (CNRS & ENS de Lyon, France), Sylvain Joubaud (ENS de Lyon, France), Manikandan Mathur (IIT Madras, India), Philippe Odier (ENS de Lyon, France) and Anubhab Roy (IIT M
From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)
Felix Schulze: A relative entropy and a unique continuation result for Ricci expanders
Abstract: We prove an optimal relative integral convergence rate for two expanding gradient Ricci solitons coming out of the same cone. As a consequence, we obtain a unique continuation result at infinity and we prove that a relative entropy for two such self-similar solutions to the Ricci
From playlist MATRIX-SMRI Symposium: Singularities in Geometric Flows
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
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