Cybernetical Physics

From Control of Chaos to Quantum Control

  • Alexander L. Fradkov

Part of the Understanding Complex Systems book series (UCS)

About this book


The control of complex systems is one of the most important aspects in dealing with systems exhibiting nonlinear behaviour or similar features that defy traditional control techniques. This specific subject is gradually becoming known as cybernetical physics, borrowing methods from both theoretical physics and control engineering.

This book is, perhaps, the first attempt to present a unified exposition of the subject and methodology of cybernetical physics as well as solutions to some of its problems. Emphasis of the book is on the examination of fundamental limits on energy transformation by means of control procedures in both conservative and dissipative systems. A survey of application in physics includes the control of chaos, synchronisation of coupled oscillators, pendulum chains, reactions in physical chemistry and of quantum systems such as the dissociation of diatomic molecules.

This book has been written having researchers from various backgrounds in physics, mathematics and engineering in mind and is thus also suitable as introduction to graduate students working on the understanding of a broad range of complex systems in the natural sciences.


algorithms chaos control complex system complex systems control engineering cybernetics dynamical systems spatio-temporal patterns

Authors and affiliations

  • Alexander L. Fradkov
    • 1
  1. 1.Russian Academy of SciencesInstitute for Problems of Mechanical EngineeringSt. PetersburgRussia

Bibliographic information

  • DOI
  • Copyright Information Springer 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-46275-0
  • Online ISBN 978-3-540-46277-4
  • Series Print ISSN 1860-0832
  • Buy this book on publisher's site