Complex and Adaptive Dynamical Systems: A Primer
by Claudius Gros
Publisher: arXiv 2008
Number of pages: 276
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.
Home page url
Download or read it online for free here:
by K.J.H. Law, A.M. Stuart, K.C. Zygalakis - arXiv.org
This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation. Authors develop a framework in which a Bayesian formulation of the problem provides the bedrock for the derivation and analysis of algorithms.
by J. E. Marsden, M. McCracken - Springer
The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.
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 Glenn Elert
This book is written for anyone with an interest in chaos, fractals, non-linear dynamics, or mathematics in general. It's a moderately heavy piece of work, requiring a bit of mathematical knowledge, but it is definitely not aimed at mathematicians.