**Encyclopedia of Dynamical Systems**

by D. Anosov, at al.

**Publisher**: Scholarpedia 2009

**Description**:

The encyclopedia covers differential equations, numerical analysis, bifurcations, topological dynamics, ergodic theory, hyperbolic dynamics, oscillators, synchronization, pattern formation, chaos, statistical mechanics, control theory, and applications.

Download or read it online for free here:

**Read online**

(online html)

## Similar books

**Perturbation Theory of Dynamical Systems**

by

**Nils Berglund**-

**arXiv**

These are lecture notes for undergraduate Mathematics and Physics students. They cover a few selected topics from perturbation theory at an introductory level: Bifurcations and Unfolding; Regular Perturbation Theory; Singular Perturbation Theory.

(

**2413**views)

**Chaos Theory**

by

**Kais A. Mohamedamen Al Naimee (ed.)**-

**InTech**

With a good background in nonlinear dynamics, chaos theory, and applications, the authors give a treatment of the basic principles of nonlinear dynamics in different fields. In addition, they show overlap with the traditional field of control theory.

(

**601**views)

**The Hopf Bifurcation and Its Applications**

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.

(

**8432**views)

**Dynamical Systems: Analytical and Computational Techniques**

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.

(

**1328**views)