Equivalence Between Contraction and Koopman Approaches and Its Application in Nonlinear System Identification
Explore connections between Koopman operator and contraction analysis frameworks for nonlinear systems. Learn a new data-driven method for stable model learning using Koopman embeddings.
Adaptive Regularization and Linearization for Nonsmooth and Degenerate Problems
Explore advanced mathematical techniques for solving nonsmooth and degenerate problems in flow and transport, focusing on adaptive regularization methods and Newton-based linearization approaches.
Introduction to Dynamical Systems - Lecture 1
Explore dynamical systems, from linear ODEs to nonlinear chaos. Learn about equilibrium points, eigenvalues, attractors, and bifurcations. Gain insights into Lorenz systems, Poincaré maps, and iterative methods.
Dynamical Systems - Lecture 02
Explore advanced concepts in dynamical systems theory, focusing on mathematical principles and applications in complex systems analysis and modeling.
Dynamical Systems - Lecture 03
Explore advanced concepts in dynamical systems theory, focusing on mathematical principles and applications in complex systems analysis and modeling.
Dynamical Systems - Lecture 04
Explore advanced concepts in dynamical systems theory, focusing on mathematical principles and applications in complex systems analysis and modeling.
Dynamical Systems - Lecture 01
Explore fundamental concepts and applications of dynamical systems theory in this comprehensive lecture by mathematician Stefano Luzzatto.
Numerical Simulation of Ordinary Differential Equations - Integrating ODEs
Explore numerical integration of ODEs to analyze nonlinear systems and generate trajectories. Learn techniques for solving complex dynamics where analytic methods fall short.
Linearizing Around a Fixed Point - Control Bootcamp
Explore linearization of nonlinear systems around fixed points, demonstrated with a simple pendulum example using both manual calculations and MATLAB implementation.
Structure of Feigenbaum Henon Maps
Explore Feigenbaum Henon maps structure in dynamical systems with Mikhail Lyubich's conference talk, part of a broad meeting celebrating Marcelo Viana's 60th birthday at IMPA.
Multisymplectic Unscented Kalman Filter for Geometrically Exact Beams
Explore advanced filtering techniques for geometrically exact beam models using multisymplectic unscented Kalman filters in structural engineering applications.
Fluctuation Limits for Mean-Field Interacting Nonlinear Hawkes Processes
Explore fluctuation limits in mean-field interacting nonlinear Hawkes processes, delving into advanced mathematical concepts and their applications.
Capturing Turbulent Dynamics and Statistics in Experiments Using Exact Coherent States
Explore turbulent dynamics using Exact Coherent States, revealing coherent structures in experiments, forecasting turbulent evolution, and providing a geometric description of transient turbulence.
Application of Particle Filters on Data Assimilation
Explore particle filters in data assimilation, a powerful technique for integrating observations and forecasts to estimate atmospheric states and uncertainties in weather and climate modeling.
Mathematical General Relativity - Seventy-Two Years after Yvonne Choquet-Bruhat's Foundational Acta Paper
Explorez les avancées majeures en relativité générale mathématique depuis l'article fondateur d'Y.C. Bruhat, en examinant son impact durable sur le domaine.
Exploring Nonlinearity: From Superconductivity to Quantum Sensing
Discover nonlinear phenomena in superconductivity and quantum sensing, exploring cutting-edge research and applications in quantum information and control.
Dynamics and Steady State of Squirmer Motion in Liquid Crystal
Analyse mathématique du mouvement des micro-nageurs dans les cristaux liquides, établissant l'existence d'états stables et dérivant un modèle homogénéisé pour la nage collective.
Partisan Voter Model: Noise-Induced Transitions
Explore noise-induced transitions in partisan voter models, examining complex dynamics and implications for opinion formation and social systems.
Multi-agent Models in Complex Networks - Class 4
Explore multi-agent models in complex networks, focusing on applications to socio-economic complexity and nonlinear systems.
A Touch of Non-Linearity: Mesoscale Swimmers and Active Matter in Fluids
Explore mesoscale swimmers and active matter in fluids, focusing on the transition from Stokes to intermediate Reynolds numbers and its impact on hydrodynamic interactions and collective behavior.
Solving Difficult Reachability Problems in JuMP.jl
Explore advanced reachability analysis techniques for complex control systems using JuMP.jl, including temporal refinement and tools for nonlinear systems with neural network controllers.