**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

**Valuations and Hyperbolicity in Dynamics**

by

**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.

(

**9277**views)

**Elementary Symbolic Dynamics and Chaos in Dissipative Systems**

by

**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.

(

**10248**views)

**Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra**

by

**A. T. Baraviera, R. Leplaideur, A. O. Lopes**-

**arXiv**

We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.

(

**7809**views)

**Around the Boundary of Complex Dynamics**

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...

(

**6627**views)