An Introduction to Dynamical Systems and Chaos
by Marc Spiegelman
Publisher: LDEO 1997
Number of pages: 67
This tutorial will develop the basic ingredients necessary for modeling and understanding simple (and not so simple) non-linear dynamical systems. The goal of these exercises are to demonstrate you that you can develop significant insight into the behavior of complicated non-linear systems with just a little math, a little art and a little modeling software.
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by Thomas Ward - University of East Anglia
These notes cover a very short introduction to measure-theoretic and topological entropy, and are aimed at understanding part of Yuzvinskii's formula for the entropy of compact group automorphisms. Based on a course at the Ohio State University.
by Gerald Teschl - Universitaet Wien
This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem.
by Curtis T. McMullen - Harvard University
Contents: Ergodic theory; Dynamics on hyperbolic surfaces; Orbit counting, equidistribution and arithmetic; Spectral theory; Mixing of unitary representations of SLnR; Amenability; The Laplacian; All unitary representations of PSL2(R); etc.
by Jose A. Tenreiro Machado (ed.) - MDPI AG
Complex systems are studied in many areas of natural sciences, social sciences, engineering and mathematics. This volume intends to contribute towards the dissemination of the multifaceted concepts in accepted use by the scientific community.