Geometrical Theory of Dynamical Systems
by Nils Berglund
Publisher: arXiv 2001
Number of pages: 85
Description:
This text is a slightly edited version of lecture notes for a course to undergraduate Mathematics and Physics students. Contents: Examples of Dynamical Systems; Stationary and Periodic Solutions; Local Bifurcations; Introduction to Chaotic Dynamics.
Download or read it online for free here:
Download link
(2.2MB, PDF)
Similar books
![Book cover: Stability Analysis via Matrix Functions Method](images/9138.jpg)
by A. A. Martynyuk - Bookboon
The monograph presents a generalization of the well-known Lyapunov function method and related concepts to the matrix function case within the framework of systematic stability analysis of dynamical systems (differential equations).
(9436 views)
![Book cover: Complex Dynamics and Renormalization](images/9760.jpg)
by Curtis T. McMullen - Princeton University Press
Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics.
(8756 views)
![Book cover: Dynamical Systems: Analytical and Computational Techniques](images/11327.jpg)
by Mahmut Reyhanoglu - InTech
There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems. This progress is due to our increasing ability to mathematically model physical processes and to analyze and solve them.
(6945 views)
![Book cover: The Hopf Bifurcation and Its Applications](images/2582.jpg)
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.
(14149 views)