This book shows how densities arise in simple deterministic systems. There has been explosive growth in interest in physical, biological and economic systems that can be profitably studied using densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of the applicable mathematics into the study of these 'chaotic' systems. This book will help to bridge that gap. The authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. They have drawn examples from many scientific fields to illustrate the utility of the techniques presented. The book assumes a knowledge of advanced calculus and differential equations, but basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: November 2008
- format: Paperback
- isbn: 9780521090964
- length: 372 pages
- dimensions: 229 x 152 x 21 mm
- weight: 0.55kg
- availability: Available
Table of Contents
2. The toolbox
3. Markov and Frobenius–Perron operators
4. Studying chaos with densities
5. The asymptotic properties of densities
6. The behaviour of transformations on intervals and manifolds
7. Continuous time systems: an introduction
8. Discrete time processes embedded in continuous time systems
10. Stochastic perturbation of discrete time systems
11. Stochastic perturbation of continuous time systems.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×