Nonlinear Dynamics (journal)

Konstantin Mischaikow (1/27/21): Nonlinear Dynamics in an Age of Heuristic Science

Title: Nonlinear Dynamics in an Age of Heuristic Science Abstract: Motivated by problems in systems and synthetic biology (but I believe the problems are common to multiscale systems and data driven science) I will argue the need for a new framework in which to discuss nonlinear dynamics

From playlist AATRN 2021

Linearizing Nonlinear Differential Equations Near a Fixed Point

This video describes how to analyze fully nonlinear differential equations by analyzing the linearized dynamics near a fixed point. Most of our powerful solution techniques for ODEs are only valid for linear systems, so this is an important strategy for studying nonlinear systems. This

From playlist Engineering Math: Differential Equations and Dynamical Systems

C52 Introduction to nonlinear DEs

A first look at nonlinear differential equations. In this first video examples are shown of equations that still have explicit solutions.

From playlist Differential Equations

Finite size effects in a model for plasticity of amorphous composites by Damien Vandembroucq

Discussion Meeting: Nonlinear Physics of Disordered Systems: From Amorphous Solids to Complex Flows URL: http://www.icts.res.in/discussion_meeting/NPDS2015/ Dates: Monday 06 Apr, 2015 - Wednesday 08 Apr, 2015 Description: In recent years significant progress has been made in the physics

From playlist Discussion Meeting: Nonlinear Physics of Disordered Systems: From Amorphous Solids to Complex Flows

Laminar undular hydraulic jumps by Ratul Dasgupta

Discussion Meeting: Nonlinear Physics of Disordered Systems: From Amorphous Solids to Complex Flows URL: http://www.icts.res.in/discussion_meeting/NPDS2015/ Dates: Monday 06 Apr, 2015 - Wednesday 08 Apr, 2015 Description: In recent years significant progress has been made in the physics

From playlist Discussion Meeting: Nonlinear Physics of Disordered Systems: From Amorphous Solids to Complex Flows

A better way to understand Differential Equations | Nonlinear Dynamics (Part 3) | #SoME2

Part 1: https://youtu.be/ySfs8YVMY7Q Part 2: https://youtu.be/I9UEBRya4X0 Part 3: https://youtu.be/6mLCFyEv3Z0 These second-order nonlinear differential equations can be written in the form: dx/dt = f(x,y) dy/dt = g(x,y) Got a nonlinear differential equation? No problem, just linearize i

From playlist Summer of Math Exposition 2 videos

Masahiro Yamamoto: Inverse problems for fluid dynamics

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Partial Differential Equations

Data Driven Methods for Complex Turbulent Systems ( 3 ) - Andrew J. Majda

Lecture 3: Data Driven Methods for Complex Turbulent Systems Abstract: An important contemporary research topic is the development of physics constrained data driven methods for complex, large-dimensional turbulent systems such as the equations for climate change science. Three new approa

From playlist Mathematical Perspectives on Clouds, Climate, and Tropical Meteorology

Theory of synchronization - CEB T2 2017 - Pikovsky - 2/3

Arkady Pikovsky (Univ. Potsdam) - 18/04/17 Theory of synchronization 1) Basics - oscillators, phase and amplitudes - isochrons and phase response curve - phase dynamics under small forcing - phase locking and frequency entrainment - beyond phase approximation - effects of noise -

From playlist 2017 - T2 - Stochastic Dynamics out of Equilibrium - CEB Trimester

Activity-induced fluidization in glassy systems by Chandan Dasgupta

Discussion Meeting: Nonlinear Physics of Disordered Systems: From Amorphous Solids to Complex Flows URL: http://www.icts.res.in/discussion_meeting/NPDS2015/ Dates: Monday 06 Apr, 2015 - Wednesday 08 Apr, 2015 Description: In recent years significant progress has been made in the physics

From playlist Discussion Meeting: Nonlinear Physics of Disordered Systems: From Amorphous Solids to Complex Flows

The Orr mechanism: Stability/Instability of the Couette flow in 2D dynamic – N. Masmoudi – ICM2018

Partial Differential Equations Invited Lecture 10.13 The Orr mechanism: Stability/Instability of the Couette flow for the 2D Euler dynamic Nader Masmoudi Abstract: We review our works on the nonlinear asymptotic stability and instability of the Couette flow for the 2D incompressible Eule

From playlist Partial Differential Equations

Dynamic Eigen Decomposition I: Parameter Variation in System Dynamics

Video 1 in a series about dynamic eigen decomposition (DED) theory and applications. Here we cover basic theoretical aspects of the DED as applied to a 2 degree of freedom mechanical oscillator with parameter variation. The surprising fact we uncover is that dynamic eigenvectors are preser

From playlist Summer of Math Exposition Youtube Videos

What Is Turbulence? Turbulent Fluid Dynamics are Everywhere

Turbulent fluid dynamics are literally all around us. This video describes the fundamental characteristics of turbulence with several examples from nature and from engineering. We discuss how turbulent fluids are unsteady, three-dimensional, mixing, and multiscale. We also describe how

From playlist Fluid Dynamics

MAE5790-1 Course introduction and overview

Historical and logical overview of nonlinear dynamics. The structure of the course: work our way up from one to two to three-dimensional systems. Simple examples of linear vs. nonlinear systems. 1-D systems. Why pictures are more powerful than formulas for analyzing nonlinear systems. Fixe

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

Sanjoy Mitter - Overview of variational approach to nonlinear filtering

PROGRAM: Nonlinear filtering and data assimilation DATES: Wednesday 08 Jan, 2014 - Saturday 11 Jan, 2014 VENUE: ICTS-TIFR, IISc Campus, Bangalore LINK:http://www.icts.res.in/discussion_meeting/NFDA2014/ The applications of the framework of filtering theory to the problem of data assimi

From playlist Nonlinear filtering and data assimilation

Math in Our Lives Series: SIAM Journal on Applied Dynamical Systems

How can math affect Olympic diving, public opinion, or flight safety? These are topics of recent SIAM journal articles, and addressed in our NEW video series - Math in our Lives! We'll be releasing one video each month through July 2019. Watch this video to find out how momentum and shape

From playlist Math in Our Lives Video Series

MFEM Workshop 2022 | Reduced Order Modeling for FE Simulations with MFEM & libROM

The LLNL-led MFEM (Modular Finite Element Methods) project provides high-order mathematical calculations for large-scale scientific simulations. The project’s second community workshop was held on October 25, 2022, with participants around the world. Learn more about MFEM at https://mfem.o

From playlist MFEM Community Workshop 2022

In Situ Observations of Nonlinear Internal Waves with Trapped Core in the south by Adele Moncuquet

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)

Extremum Seeking Control Applications

This lecture highlights some of the many applications of extremum-seeking control (ESC) performed by myself and collaborators. Maximum power point tracking for photovoltaic optimization using ripple-based extremum seeking control S. L. Brunton, C. W. Rowley, S. R. Kulkarni, and C. Clar

From playlist Data-Driven Control with Machine Learning

Chaos9 Research today

www.chaos-math.org

From playlist Chaos English