Introduction to the Theory of Infinite-Dimensional Dissipative Systems
by Constantin I. Chueshov
Publisher: ACTA 2002
Number of pages: 419
This book is an exhaustive introduction to the main ideas of infinite-dimensional dissipative dynamical systems. The author outlines a variety of interlaced tools applied in the study of nonlinear dynamical phenomena in distributed systems. The results presented have direct applications to many developing areas of physics, mechanical engineering and biology.
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by 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.
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This tutorial will develop the basics ingredients necessary for modeling simple non-linear dynamical systems. The goal is to demonstrate you that you can develop significant insight into the behavior of non-linear systems with just a little math.
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Author invites readers from a wide range of backgrounds to explore the beauty and excitement of dynamical systems. Written for readers who want to continue exploring mathematics beyond linear algebra, but are not ready for highly abstract material.