04335nam a22005775i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003100137041000800168050001400176050001400190072001600204072002300220082001200243100003600255245024200291260004600533264004600579300003600625336002600661337002600687338003600713347002400749490006700773505051100840520181601351650001703167650002003184650002603204650001303230650002903243650002803272650001703300650005903317650002903376650003703405650001603442650002803458700003403486710003403520773002003554776003603574830006703610856004403677912001403721942000703735999001503742978-1-4020-4545-5DE-He21320141014113437.0cr nn 008mamaa100301s2006 ne | s |||| 0|eng d a97814020454559978-1-4020-4545-57 a10.1007/1-4020-4545-X2doi aeng 4aTA329-348 4aTA640-643 7aTBJ2bicssc 7aMAT0030002bisacsh04a5192231 aIvancevic, Vladimir G.eeditor.10aGeometrical Dynamics of Complex Systemsh[electronic resource] :bA Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical Dynamics /cedited by Vladimir G. Ivancevic, Tijana T. Ivancevic. 1aDordrecht :bSpringer Netherlands,c2006. 1aDordrecht :bSpringer Netherlands,c2006. aXXIII, 824 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aMicroprocessor-Based and Intelligent Systems Engineering ;v310 aFrom 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. aGeometrical 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. 0aEngineering. 0aSystems theory. 0aMathematical physics. 0aPhysics. 0aEngineering mathematics. 0aBiomedical engineering.14aEngineering.24aAppl.Mathematics/Computational Methods of Engineering.24aSystems Theory, Control.24aMathematical Methods in Physics.24aComplexity.24aBiomedical Engineering.1 aIvancevic, Tijana T.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9781402045448 0aMicroprocessor-Based and Intelligent Systems Engineering ;v3140uhttp://dx.doi.org/10.1007/1-4020-4545-X aZDB-2-ENG cEB c1090d1090