Systems of ODEs: Imaginary Eigenvalues and Center Fixed Points
Explore imaginary eigenvalues and center fixed points in 2D ODE systems. Learn to compute eigenvectors, write solutions, and understand geometric intuition behind rotational dynamics.
Systems of ODEs - Saddle Points and Instability
Explore unstable saddle points in 2D linear ODEs, their applications in energy-efficient transport, and analysis using eigenvalues, eigenvectors, and phase portraits.
Systems of ODEs - Sources and Sinks
Explore 2D linear ODEs with real eigenvalues, analyzing unstable sources and stable sinks through eigenvalues, eigenvectors, and phase portraits. Gain insights into solution methods and visualizations.
Differential Equations and Dynamical Systems - Overview
Explore dynamical systems and their applications in various fields. Learn classic and modern techniques for modeling real-world phenomena, from fluid dynamics to epidemiology.
Towards a Mathematical Model of the Brain - Lai-Sang Young
Explore mathematical approaches to modeling brain dynamics, from local neural populations to complex cognitive functions, with insights on synchronization, memory, and visual processing.
Observable Events and Typical Trajectories in Dynamical Systems - Lai-Sang Young
Explore observable events and typical trajectories in dynamical systems with Lai-Sang Young, covering SRB measures, attractors, and infinite dimensional center manifolds.
Singularity Formation for Reduced Models of Fluid Equations - Mimi Dai
Explore singularity formation in reduced fluid equation models, focusing on electron magnetohydrodynamics and its connection to Euler equations. Gain insights into nonlinear dynamics and finite-time singularities.
Dynamics on Character Varieties - William Goldman
Exploration of dynamical systems arising from locally homogeneous geometric structures and flat connections on manifolds, with focus on character varieties and their complex topology.
On the Spatial Restricted Three-Body Problem - Agustin Moreno
Explore the spatial restricted three-body problem, global hypersurfaces, and Hamiltonian return maps. Learn about a higher-dimensional Poincaré-Birkhoff theorem and its applications to orbital dynamics.
Astrophysical Fluid Dynamics - James Stone
Explore astrophysical fluid dynamics with Prof. James Stone, covering mathematical models, numerical methods, and future research in this fascinating field of study.
Mathematical Models of Human Memory - Michail Tsodyks
Explore mathematical models of human memory, covering simplification, recall capacity, experiments, and recognition tests, with insights on memory dynamics and cognitive processes.
The Primacy of Experiment - Kyle Cranmer
Explore the interplay between physics and mathematics, focusing on experimental validation and the potential for unifying theories in understanding the universe's fundamental laws.
130 Years of Natural & Anthropogenic Modifications of the Venice Lagoon - Evolution of Tidal Meanders
Explores tidal meander evolution in Venice Lagoon over 130 years, examining hydrodynamic changes, morphology, and sediment transport using diverse data and modeling techniques.
Solving Fractional Differential Equations with FractionalDiffEq.jl
Discover how to solve complex fractional differential equations using FractionalDiffEq.jl, a powerful Julia package that integrates with SciML for advanced mathematical modeling and scientific computing.
On Dynamics of Lorenz Maps - Renormalizations and Invariant Sets
Explore the dynamics of Lorenz maps, focusing on renormalizations and invariant sets. Delve into piecewise monotone interval maps, their connections to number theory, and fractal geometry.
Lucjan Emil Boettcher - The Polish Pioneer of Holomorphic Dynamics
Dive into the life and mathematical contributions of Lucjan Emil Boettcher, a Polish pioneer in holomorphic dynamics, and explore his foundational role in the field.
Collapsed Anosov Flows: Characterizations and Proofs - Lecture 2
Delve into equivalent characterizations of collapsed Anosov flows and their strong variants, exploring key mathematical proofs and theoretical foundations in dynamical systems.
Teoria Ergódica Diferenciável - Aula 17 - 17/10/2024
Explore advanced concepts in Differentiable Ergodic Theory, including invariant measures, recurrence theorems, ergodic decomposition, and entropy, with Professor Marcelo Viana at IMPA.
The Principal Eigenvalue of Time-Periodic Nonlocal Equations with Drift
Explore time-periodic nonlocal equations with drift, focusing on principal eigenvalue analysis in this advanced mathematical lecture by Pierre Gabriel.
A Moment-Based Approach for the Analysis of the Infinitesimal Model
Explore a moment-based approach for analyzing the infinitesimal model in non-local branching processes with mathematician Sepideh Mirrahimi.
Bilhares
Explore o fascinante mundo dos bilhares matemáticos com Alejandro Kocsard, descobrindo suas aplicações e propriedades únicas na geometria e sistemas dinâmicos.