04380nam a22005895i 4500
978-1-4020-4545-5
DE-He213
20141014113437.0
cr nn 008mamaa
100301s2006 ne | s |||| 0|eng d
9781402045455
978-1-4020-4545-5
10.1007/1-4020-4545-X
doi
eng
TA329-348
TA640-643
TBJ
bicssc
MAT003000
bisacsh
519
23
Ivancevic, Vladimir G.
editor.
Geometrical Dynamics of Complex Systems
[electronic resource] :
A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical Dynamics /
edited by Vladimir G. Ivancevic, Tijana T. Ivancevic.
Dordrecht :
Springer Netherlands,
2006.
Dordrecht :
Springer Netherlands,
2006.
XXIII, 824 p.
online resource.
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
text file
PDF
rda
Microprocessor-Based and Intelligent Systems Engineering ;
31
From the contents Modern Geometrical Machinery -- Introduction -- Smooth Manifolds -- Fibre Bundles -- Jet Spaces -- Path Integrals: Extending Smooth Geometrical Machinery -- Dynamics of High -Dimensional Nonlinear Systems -- Mechanical Systems. Physical Field Systems -- Nonlinear Control Systems -- Human - Like Biomechanics -- Neurodynamics -- Psycho -Socio - Economic Dynamics -- Appendix: Tensors and Functors -- Elements of Classical Tensor Analysis -- Categories and Functors -- References -- Index.
Geometrical Dynamics of Complex Systems is a graduate–level monographic textbook. Itrepresentsacomprehensiveintroductionintorigorousgeometrical dynamicsofcomplexsystemsofvariousnatures. By‘complexsystems’,inthis book are meant high–dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a uni?ed geometrical - proachtodynamicsofcomplexsystemsofvariouskinds: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. However, instead of dealing with the pop- 1 ular ‘soft complexity philosophy’, we rather propose a rigorous geometrical and topological approach. We believe that our rigorous approach has much greater predictive power than the soft one. We argue that science and te- nology is all about prediction and control. Observation, understanding and explanation are important in education at undergraduate level, but after that it should be all prediction and control. The main objective of this book is to show that high–dimensional nonlinear systems and processes of ‘real life’ can be modelled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if they were linear systems. It is well–known that linear systems, which are completely predictable and controllable by de?nition – live only in Euclidean spaces (of various - mensions). They are as simple as possible, mathematically elegant and fully elaborated from either scienti?c or engineering side. However, in nature, no- ing is linear. In reality, everything has a certain degree of nonlinearity, which means: unpredictability, with subsequent uncontrollability.
Engineering.
Systems theory.
Mathematical physics.
Physics.
Engineering mathematics.
Biomedical engineering.
Engineering.
Appl.Mathematics/Computational Methods of Engineering.
Systems Theory, Control.
Mathematical Methods in Physics.
Complexity.
Biomedical Engineering.
Ivancevic, Tijana T.
editor.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9781402045448
Microprocessor-Based and Intelligent Systems Engineering ;
31
http://dx.doi.org/10.1007/1-4020-4545-X
ZDB-2-ENG
EB
1090
1090