Hopf bifurcation

Hopf Fibration 1

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/1mUo

From playlist 3D printing

What is the Hopf Fibration?

In this video I shed some light on a heavily alluded to and poorly explained object, the Hopf Fibration. The Hopf Fibration commonly shows up in discussions surrounding gauge theories and fundamental physics, though its construction is not so mysterious.

From playlist Summer of Math Exposition Youtube Videos

Hopf Fibration (grid)

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/3bz5

From playlist 3D printing

Hopf link bagel

A bagel cut into a Hopf link.

From playlist Algebraic Topology

Ralph Kaufmann: Graph Hopf algebras and their framework

The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: I will discuss recent results linking the Hopf algebras of Goncharov for multiple zetas, the Hopf algebra of Connes and Kreimer for renormalis

From playlist Workshop: "Amplitudes and Periods"

Hopf Fibration and Homotopy

We visualize Hopf fibration in an alternative way: by showing it as a self-homotopy of the 0 map of S^2 to S^2. This is an outcome work of the workshop http://illustratingmath-pcmi.org/ .

From playlist Summer of Math Exposition Youtube Videos

MAE5790-12 Bifurcations in two dimensional systems

Bifurcations of fixed points: saddle-node, transcritical, pitchfork. Hopf bifurcations. Other bifurcations of periodic orbits. Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 8.0--8.2.

From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University

MAE5790-13 Hopf bifurcations in aeroelastic instabilities and chemical oscillators

Supercritical vs subcritical Hopf. Airplane wing vibrations. Flutter. Chemical oscillations. Computer simulations. Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 8.2, 8.3.

From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University

Sparse Identification of Nonlinear Dynamics (SINDy)

This video illustrates a new algorithm for the sparse identification of nonlinear dynamics (SINDy). In this work, we combine machine learning, sparse regression, and dynamical systems to identify nonlinear differential equations purely from measurement data. From the Paper: Discovering

From playlist Research Abstracts from Brunton Lab

Bi-Lipschitz Bijection between the Boolean Cube and the Hamming Ball - Gil Cohen

Gil Cohen Weizmann Institute December 16, 2013 We construct a bi-Lipschitz bijection from the Boolean cube to the Hamming ball of equal volume. More precisely, we show that for all even nn, there exists an explicit bijection ff from the nn-dimensional Boolean cube to the Hamming ball of eq

From playlist Mathematics

Neural oscillations, weak coupling and networks by Bard Ermentrout

Dynamics of Complex Systems - 2017 DATES: 10 May 2017 to 08 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This Summer Program on Dynamics of Complex Systems is second in the series. The theme for the program this year is Mathematical Biology. Over the past decades, the focus o

From playlist Dynamics of Complex Systems - 2017

Bifurcation and Catastrophy theory: Physical and Natural systems by Petri Piiroinen

Modern Finance and Macroeconomics: A Multidisciplinary Approach URL: http://www.icts.res.in/program/memf2015 DESCRIPTION: The financial meltdown of 2008 in the US stock markets and the subsequent protracted recession in the Western economies have accentuated the need to understand the dy

From playlist Modern Finance and Macroeconomics: A Multidisciplinary Approach

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

Advanced asymptotics of PDEs and applications - 24 September 2018

http://www.crm.sns.it/event/424/ The aim of this workshop is to present and discuss recent advanced topics in analysis, numerical methods, and statistical physics methods for modeling and quantifying cellular functions and organization. We will focus here on recent the asymptotic of PDEs

From playlist Centro di Ricerca Matematica Ennio De Giorgi

MAE5790-14 Global bifurcations of cycles

Hopf, saddle-node bifurcation of cycles, SNIPER, and homoclinic bifurcation. Coupled oscillators. Knotted cycles. Quasiperiodicity. Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 8.4, 8.6.

From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University

Dynamical systems evolving – Lai-Sang Young – ICM2018

Plenary Lecture 8 Dynamical systems evolving Lai-Sang Young Abstract: I will discuss a number of results taken from a cross-section of my work in Dynamical Systems theory and applications. The first topics are from the ergodic theory of chaotic dynamical systems. They include relation be

From playlist Plenary Lectures

Dimensions Chapter 7

Chapter 7 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.

From playlist Dimensions

WTF is a Bézier Curve?

What is a Bézier curve? Programmers use them everyday for graphic design, animation timing, SVG, and more. #shorts #animation #programming Animated Bézier https://www.jasondavies.com/animated-bezier/

From playlist CS101

Loïc FOISSY - Cointeracting Bialgebras

Pairs of cointeracting bialgebras recently appears in the literature of combinatorial Hopf algebras, with examples based on formal series, on trees (Calaque, Ebrahimi-Fard, Manchon), graphs (Manchon), posets... We will give several results obtained on pairs of cointeracting bialgebras: act

From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

Population dynamics by Jeff Gore

Winter School on Quantitative Systems Biology DATE:04 December 2017 to 22 December 2017 VENUE:Ramanujan Lecture Hall, ICTS, Bengaluru The International Centre for Theoretical Sciences (ICTS) and the Abdus Salam International Centre for Theoretical Physics (ICTP), are organizing a Winter S

From playlist Winter School on Quantitative Systems Biology