The Hopf Bifurcation and Its Applications
by J. E. Marsden, M. McCracken
Publisher: Springer 1976
ISBN/ASIN: 0387902007
ISBN-13: 9780387902005
Number of pages: 424
Description:
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.
Download or read it online for free here:
Download link
(9MB, PDF)
Similar books
Introduction to Dynamical Systems: A Hands-on Approach with Maximaby Jaime E. Villate
In this book we explore some topics on dynamical systems, using an active teaching approach, supported by computing tools. The subject of this book on dynamical systems is at the borderline of physics, mathematics and computing.
(10940 views)
Valuations and Hyperbolicity in Dynamicsby Thomas Ward - University of East Anglia
These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit hyperbolicity. This approach goes a little beyond simply providing a convenient language.
(8912 views)
Complex and Adaptive Dynamical Systems: A Primerby Claudius Gros - arXiv
This textbook covers a wide range of concepts, notions and phenomena of a truly interdisciplinary subject. Complex system theory deals with dynamical systems containing a very large number of variables, showing a plethora of emergent features.
(14602 views)
Elementary Symbolic Dynamics and Chaos in Dissipative Systemsby Bai-Lin Hao - World Scientific
This is a monograph on chaos in dissipative systems written for those working in the physical sciences. Emphasis is on symbolic description of the dynamics and characteristics of the attractors, written from the view-point of practical applications.
(9949 views)