Perturbation Theory of Dynamical Systems
by Nils Berglund
Publisher: arXiv 2001
Number of pages: 111
Description:
These are lecture notes for a course given to undergraduate Mathematics and Physics students. It covers a few selected topics from perturbation theory at an introductory level. Only certain results are proved, and for some of the most important theorems, sketches of the proofs are provided.
Download or read it online for free here:
Download link
(4.8MB, PDF)
Similar books
Dynamical Systemsby 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.
(8596 views)
The Chaos Hypertextbookby 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.
(16072 views)
Introduction to the Theory of Infinite-Dimensional Dissipative Systemsby Constantin I. Chueshov - ACTA
An introduction to infinite-dimensional dissipative dynamical systems. The book outlines a variety of tools applied in the study of nonlinear dynamical distributed systems. The results have applications to many areas of physics and engineering.
(13301 views)
Monotone Dynamical Systemsby M.W. Hirsch, Hal Smith
From the table of contents: Introduction; Strongly Order-Preserving Semiflows; Generic Convergence and Stability; Ordinary Differential Equations; Delay Differential Equations; Monotone Maps; Semilinear Parabolic Equations.
(14123 views)