:a unified modelling approach to physics, control, biomechanics, neurodynamics and psycho-socio-economical dynamics
First Statement of Responsibility
/ by Vladimir G. Ivancevic and Tijana T. Ivancevic
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht
Name of Publisher, Distributor, etc.
: Springer,
Date of Publication, Distribution, etc.
, c2006.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xxiii, 822 p. , ill. , 25 cm.
SERIES
Series Title
(International series on microprocessor-based and intelligent systems engineering v. 31)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
"This volume presents a comprehensive introduction into rigorous geometrical dynamics of complex systems of various natures. By "complex systems", in this book are meant high-dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a unified geometrical approach to dynamics of complex systems of various kinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, etc. As their names suggest, all these multi-input multi-output (MIMO) systems have something in common: the underlying physics. Using sophisticated machinery composed of differential geometry, topology and path integrals, this book proposes a unified approach to complex dynamics - of predictive power much greater than the currently popular "soft-science" approach to complex systems. The main objective of this book is to show that high-dimensional nonlinear systems in "real life" can be modeled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if they were linear systems."--BOOK JACKET.
Text of Note
1. Modern geometrical machinery -- 2. Dynamics of complex systems -- 3. Appendix : tensors and functions.