Complex and Adaptive Dynamical Systems: A Primer
by Claudius Gros
Publisher: arXiv 2008
ISBN/ASIN: 3540718737
ISBN-13: 9783540718734
Number of pages: 276
Description:
This textbook covers a wide range of concepts, notions and phenomena of a truly interdisciplinary subject of rapidly growing importance. Complex system theory deals with dynamical systems containing a very large number of variables, showing a plethora of emergent features, arising in a broad range of contexts.
Download or read it online for free here:
Download link
(4.2MB, PDF)
Similar books
Entropy of Compact Group Automorphismsby 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.
(8989 views)
Valuations and Hyperbolicity in Dynamicsby Thomas Ward - University of East Anglia
These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit hyperbolicity. This approach goes a little beyond simply providing a convenient language.
(8926 views)
Computable Integrabilityby Alexey Shabat, Elena Kartashova - arXiv
A preliminary version of the textbook on integrable systems. Contents: General notions and ideas; Riccati equation; Factorization of linear operators; Commutativity of linear operators; Integrability of non-linear PDEs; Burgers-type equations.
(9838 views)
Discrete Dynamical Systemsby Arild Wikan - Bookboon
This book covers important topics like stability, hyperbolicity, bifurcation theory and chaos, topics which are essential to understand the behavior of nonlinear discrete dynamical systems. The theory is illuminated by examples and exercises.
(8191 views)