In chaos theory and fluid dynamics, chaotic mixing is a processby which flow tracers develop into complex fractals under the actionof a fluid flow.The flow is characterized by an exponential growth of fluid filaments.Even very simple flows, such as the ,or finitely resolved wind fields can generate exceptionally complexpatterns from initially simple tracer fields. The phenomenon is still not well understood and is the subjectof much current research. (Wikipedia).
This video introduces chaotic dynamical systems, which exhibit sensitive dependence on initial conditions. These systems are ubiquitous in natural and engineering systems, from turbulent fluids to the motion of objects in the solar system. Here, we discuss how to recognize chaos and how
From playlist Engineering Math: Differential Equations and Dynamical Systems
Colloqui della Classe di Scienze: Corinna Ulcigrai, Slow Chaos - 2 febbraio 2022
Corinna Ulcigrai, University of Zurich - Switzerland. How can we understand chaotic behavior mathematically? A well popularized feature of chaotic systems is the butterfly effect: a small variation of initial conditions may lead to a drastically different future evolution, a mechanism at
From playlist Colloqui della Classe di Scienze
Chaos9 La recherche aujourd'hui
From playlist Chaos français
Corinna Ulcigrai - 1/6 Parabolic dynamics and renormalization: an introduction
Parabolic dynamical systems are mathematical models of the many phenomena which display a "slow" form of chaotic evolution, in the sense that nearby trajectories diverge polynomially in time. In contrast with hyperbolic and elliptic dynamical systems, there is no general theory which desc
From playlist Corinna Ulcigrai - Parabolic dynamics and renormalization: an introduction
Corinna Ulcigrai - 1/4 Chaotic Properties of Area Preserving Flows
Flows on surfaces are one of the fundamental examples of dynamical systems, studied since Poincaré; area preserving flows arise from many physical and mathematical examples, such as the Novikov model of electrons in a metal, unfolding of billiards in polygons, pseudo-periodic topology. In
From playlist Corinna Ulcigrai - Chaotic Properties of Area Preserving Flows
Chaos and Randomness University of Wisconsin - Madison Executive Producer and Host: Clint Sprott
From playlist The Wonders of Physics with Prof. Sprott - CosmoLearning.com
Lagrangian chaos and mixing for models in fluid mechanics by Alex Blumenthal
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
Topics in Dynamical Systems: Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos
This video provides a high-level overview of dynamical systems, which describe the changing world around us. Topics include nonlinear dynamics, linearization at fixed points, eigenvalues and eigenvectors, bifurcations, invariant manifolds, and chaos!! @eigensteve on Twitter eigensteve.co
From playlist Dynamical Systems (with Machine Learning)
Jack Xin: "Lagrangian Approximations and Computations of Effective Diffusivities and Front Speed..."
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "Lagrangian Approximations and Computations of Effective Diffusivities and Front Speeds in Chaotic and Stochastic Volume Preserving Flows" Jack Xin - University of California, Irvin
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
A finite-time exponent for the random Ehrenfest gas By Sudhir R. Jain
Indian Statistical Physics Community Meeting 2016 URL: https://www.icts.res.in/discussion_meeting/details/31/ DATES Friday 12 Feb, 2016 - Sunday 14 Feb, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore This is an annual discussion meeting of the Indian statistical physics community wh
From playlist Indian Statistical Physics Community Meeting 2016
Differential Equations and Dynamical Systems: Overview
This video presents an overview lecture for a new series on Differential Equations & Dynamical Systems. Dynamical systems are differential equations that describe any system that changes in time. Applications include fluid dynamics, elasticity and vibrations, weather and climate systems,
From playlist Engineering Math: Differential Equations and Dynamical Systems
Stirring, mixing and transport by Jean-Luc Thiffeault (Part 2)
ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATES: Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE: Madhava Lecture Hall, ICTS, Bangalore This program is first-of-its-kind in India with a specific focus to p
From playlist Summer Research Program on Dynamics of Complex Systems
