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 Roland K. W. Roeder - arXiv
We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced...
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 Edward R. Scheinerman - Prentice Hall College Div
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.
by 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.