Nonlinear Dynamics Courses and Certifications

Steve Brunton

Sparse Identification of Nonlinear Dynamics - SINDy

Explore a novel algorithm combining machine learning and sparse regression to identify nonlinear differential equations from measurement data, with applications in dynamical systems.

• YouTube
• 27 minutes
• On-Demand
• Free Video

APS Physics

Promoting Global Stability in Models of Quadratic Nonlinear Dynamic

Explore innovative algorithm for identifying globally stable fluid and plasma flow models, featuring presentation and Q&A on recent research in nonlinear dynamics and vortex shedding.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Nonlinear Dynamics in an Age of Heuristic Science

Explore nonlinear dynamics through combinatorial topology, offering efficient computational methods and new perspectives for multiscale systems and data-driven science in biology and engineering.

• YouTube
• 59 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Nonlinear Dynamics - The Case of Catastrophe Theory by Vishwesha Guttal

Explore nonlinear dynamics and catastrophe theory in finance and macroeconomics. Learn alternative frameworks for analyzing modern financial systems and their economic impacts.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Steve Brunton

Hankel Alternative View of Koopman - HAVOK Analysis

Decompose chaos into linear systems with intermittent forcing using HAVOK analysis. Learn to build linear regression models on eigen-time-delay coordinates for complex dynamical systems.

• YouTube
• 23 minutes
• On-Demand
• Free Video

Kavli Institute for Theoretical Physics

Nonlinear Interaction of Vortex Sheets in Multi-Interface

Explores nonlinear vortex sheet interactions in multi-interface fluid instabilities, focusing on Kelvin-Helmholtz, Rayleigh-Taylor, and Richtmyer-Meshkov phenomena. Presents advanced research in fluid dynamics and instability mechanisms.

• YouTube
• 23 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Nonlinear Dynamics Insights into Golden Tides in the Caribbean Sea

Explore nonlinear dynamics of Sargassum transport in the Caribbean Sea, examining mesoscale eddies as carriers and mechanisms of coastal inundation using satellite data and minimal models.

• YouTube
• 35 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Dynamics of Biological Systems - Lecture 5

Explore biological dynamics using physics tools to model and predict complex living systems, from predator-prey oscillations to bacterial motility and collective behavior in fluids.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Fields Institute

Identifying Nonlinear Dynamics with High Confidence from Sparse Data

Explore techniques for confidently identifying nonlinear dynamics using limited data, focusing on advanced mathematical approaches and their applications in complex systems analysis.

• YouTube
• 29 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Nonlinear Dynamics of Neuronal Models with Applications to Bird Song Dynamics - Class 2

Explore nonlinear dynamics of neuronal models and their application to bird song dynamics, focusing on advanced concepts and real-world examples.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Nonlinear Dynamics of Neuronal Models with Applications to Bird Song Dynamics - Class 1

Explore nonlinear dynamics in neuronal models, focusing on bird song dynamics. Gain insights into complex neuroscience concepts and their applications.

• YouTube
• 58 minutes
• On-Demand
• Free Video

NCCR SwissMAP

KAM Tori for the Nonlinear Klein-Gordon Equation in the Non-Relativistic Limit

Explore effective theories in classical and quantum particle systems, focusing on KAM tori for the Nonlinear Klein Gordon equation in the non-relativistic limit.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

PCS Institute for Basic Science

Experimental Works on Localized Vibrations in Nonlinear Lattices

Explore experimental observations of intrinsic localized modes in magneto-mechanical resonator arrays, including recent advancements in two-degree-of-freedom systems.

• YouTube
• 44 minutes
• On-Demand
• Free Video

PCS Institute for Basic Science

Finding the Equations and Structures of Complex Systems from Data

Discover techniques for uncovering equations and structures of complex systems using data. Learn about sparse optimization, network inference, and data-driven prediction frameworks.

• YouTube
• 48 minutes
• On-Demand
• Free Video

HyperComplex Seminar

Chimera States for Coupled Pendula

Explore chimera states in coupled pendula systems with Prof. Tomasz Kapitaniak's insightful seminar on complex synchronization phenomena.

• YouTube
• 41 minutes
• On-Demand
• Free Video