Titlebook: Dynamical System and Chaos; An Introduction with Rui Dilão Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive l

oblique

领袖气质

cacophony

Urologist

关心

Anhydrous

泥土谦卑

Qualitative Theory of Dynamical Systemsial conditions and the associated Lyapunov exponents as a measure of chaoticity. We introduce bifurcation theory from an informal point of view. This analysis is restricted to codimension 1 local bifurcations of ordinary differential and difference equations (saddle-node, Hopf, pitchfork and transcr

Pulmonary-Veins

Special Topics in Dynamical Systemsomplex plane, and stochastic iteration of function systems. We introduce the concepts of .- and .-limit sets, non-wandering or recurrent points, Axiom A and Anosov dynamical systems, and the Poincaré recurrence theorem. We build the class of Bernouilli dynamical systems. They have probabilistic prop

调情

Examples of Nonlinear Systemsved. We explore the dynamics of the Glass-Mackey model for the production of red blood cells. We survey exact results on the Störmer problem describing the dynamics of charged particles in the Earth’s magnetosphere originating the Van Allen inner radiation belt, radiation aurorae and the South Atlan

Coronary-Spasm

Differential and Difference Equations as Dynamical Systemsrential and difference equations in the neighbourhood of a fixed point. We describe the important technique of Poincaré maps. We introduce basic concepts of numerical analysis and the most important numerical methods to calculate the solutions of differential equations.