Dynamical systems

Homoclinic connection

In dynamical systems, a branch of mathematics, a structure formed from the stable manifold and unstable manifold of a fixed point. (Wikipedia).

Homoclinic connection
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Homophily Solution - 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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Homomorphisms in abstract algebra

In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu

From playlist Abstract algebra

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Introduction to Homotopy Theory- PART 1: UNIVERSAL CONSTRUCTIONS

The goal of this series is to develop homotopy theory from a categorical perspective, alongside the theory of model categories. We do this with the hope of eventually developing stable homotopy theory, a personal goal a passion of mine. I'm going to follow nLab's notes, but I hope to add t

From playlist Introduction to Homotopy Theory

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Group Homomorphisms - Abstract Algebra

A group homomorphism is a function between two groups that identifies similarities between them. This essential tool in abstract algebra lets you find two groups which are identical (but may not appear to be), only similar, or completely different from one another. Homomorphisms will be

From playlist Abstract Algebra

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Introduction to Homotopy Theory- Part 5- Transition to Abstract Homotopy Theory

Credits: nLab: https://ncatlab.org/nlab/show/Introdu...​ Animation library: https://github.com/3b1b/manim​​​ Music: ► Artist Attribution • Music By: "KaizanBlu" • Track Name: "Remember (Extended Mix)" • YouTube Track Link: https://bit.ly/31Ma5s0​​​ • Spotify Track Link: https://spoti.fi/

From playlist Introduction to Homotopy Theory

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Homomorphisms (Abstract Algebra)

A homomorphism is a function between two groups. It's a way to compare two groups for structural similarities. Homomorphisms are a powerful tool for studying and cataloging groups. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ W

From playlist Abstract Algebra

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Arnold diffusion and Mather theory - Ke Zhang

Emerging Topics Working Group Topic: Arnold diffusion and Mather theory Speaker: Ke Zhang Affiliation: University of Toronto Date: April 11, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Lecture 5: Periodic and cyclic homology

In this video, we construct periodic and cyclic homology and compute examples. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-muenster.de/IVV5WS/WebHop/user

From playlist Topological Cyclic Homology

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Minimality and stable ergodicity by Jana Rodriguez Hertz

PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.

From playlist Smooth And Homogeneous Dynamics

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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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Ville Salo: Nilpotent endomorphisms of expansive group actions

We say a pointed dynamical system is asymptotically nilpotent if every point tends to zero. We study group actions whose endomorphism actions are nilrigid, meaning that for all asymptotically nilpotent endomorphisms the convergence to zero is uniform. We show that this happens for a large

From playlist Dynamical Systems and Ordinary Differential Equations

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The Inner Equation for Generalized Standard Maps - Pau Martin

Pau Martin Universitat Poliecnica de Catalunya, Barcelona, Spain February 15, 2012 We study particular solutions of the "inner equation" associated to the splitting of separatrices on "generalized standard maps". An exponentially small complete expression for their difference is obtained.

From playlist Mathematics

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Dynamical systems, fractals and diophantine approximations – Carlos Gustavo Moreira – ICM2018

Plenary Lecture 6 Dynamical systems, fractal geometry and diophantine approximations Carlos Gustavo Moreira Abstract: We describe in this survey several results relating Fractal Geometry, Dynamical Systems and Diophantine Approximations, including a description of recent results related

From playlist Plenary Lectures

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Homoclinic classes and equilibrium states (Lecture 1) by Sylvain Crovisier

PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.

From playlist Smooth And Homogeneous Dynamics

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Boundary dynamics for surface homeomorphisms – Andres Koropecki & Meysam Nassiri – ICM2018

Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.12 Boundary dynamics for surface homeomorphisms Andres Koropecki & Meysam Nassiri Abstract: We discuss some aspects of the topological dynamics of surface homeomorphisms. In particular, we survey recent results about

From playlist Dynamical Systems and ODE

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Diffusion along chains of normally hyperbolic cylinders - Marian Gidea

Emerging Topics Working Group Topic: Diffusion along chains of normally hyperbolic cylinders Speaker: Marian Gidea Affiliation: Yeshiva University Date: April 11, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Homotopy type theory: working invariantly in homotopy theory -Guillaume Brunerie

Short talks by postdoctoral members Topic: Homotopy type theory: working invariantly in homotopy theory Speaker: Guillaume Brunerie Affiliation: Member, School of Mathematics Date: September 26, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Homotopy Group - (1)Dan Licata, (2)Guillaume Brunerie, (3)Peter Lumsdaine

(1)Carnegie Mellon Univ.; Member, School of Math, (2)School of Math., IAS, (3)Dalhousie Univ.; Member, School of Math April 11, 2013 In this general survey talk, we will describe an approach to doing homotopy theory within Univalent Foundations. Whereas classical homotopy theory may be des

From playlist Mathematics

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Lecture 14: The Definition of TC

In this video, we finally give the definition of topological cyclic homology. In fact, we will give two definitions: the first is abstract in terms of a mapping spectrum spectrum in cyclotomic spectra and then we unfold this to a concrete definition on terms of negative topological cyclic

From playlist Topological Cyclic Homology

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Arnold Diffusion by Variational Methods III - John Mather

John Mather Princeton University; Institute for Advanced Study November 9, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

Related pages

Connected space | Flow (mathematics) | Mathematics | Stable manifold | Ordinary differential equation | Fixed point (mathematics) | Chaos theory | Plane (geometry) | Heteroclinic orbit | Homoclinic orbit | Invariant manifold