Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Chaotic Behaviour of Deterministic Dissipative Systems
  • Cited by 65
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      May 1991
      ISBN:
      9780511608162
      9780521438308
      DOI:
      https://doi.org/10.1017/CBO9780511608162
      Dimensions:
      Weight & Pages:
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.818kg, 380 Pages
      • Subjects:
      Physics and Astronomy, Engineering, Engineering Mathematics and Programming, Nonlinear Science and Fluid Dynamics
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Physics and Astronomy, Engineering, Engineering Mathematics and Programming, Nonlinear Science and Fluid Dynamics
    Information

    Book description

    This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple, deterministic, nonlinear mathematical models that describe dynamic phenomena in various physical, chemical, biological and other systems yield solutions which are aperiodic and depend very sensitively on the initial conditions. This phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the theory of dynamical systems and bifurcation theory, together with the properties of chaotic solutions, are then described and are illustrated by examples. A review of the numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided.

    Reviews

    "Among the rapidly growing number of books exhibiting different aspects of dynamically induced chaotic behavior, the book under review takes its own place for two reasons: First, it is mainly oriented toward applications. Second, it reflects a view and a set of results on this subject that were developed by the Prague research group studying dynamical systems and their applications." Alexander I. Khibnik, Quarterly Review of Biology

    "...should be of use to experimentalists--as a comprehensive survey of the field up to around 1989." James D. Meiss, Mathematical Reviews

    "...an excellent compendium of numerous contributions to the field of chaos science...the book reveals the continuing struggke to describe the physical universe in mathematical terms." Biophysical Journal

    "This is a very well-written text of special interest to anyone interested in, or trying to model, non-periodic or chaotic behavior. Although this book is written in textbook format, it could serve either as a textbook or a very useful reference....Chaotic Behavior of Deterministic Dissipative Systems should be of interst to physicists, mathematicians, engineers, and biologists. Since it can serve as either a textbook or a useful reference, it should be made available to both individual and reference libraries." Applied Machanics Review (American Society of Mechanical Engineers)

    "The book Chaotic Behaviour of Deterministic Dissipative Systems, is an excellent compendium of numerous contributions to the field of chaos science, mostly from the 1980's." Charles L. Webber, Jr., Biophysical Journal

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.