000			03967nam a22005295i 4500
001			978-1-4020-4545-5
003			DE-He213
005			20251006084511.0
007			cr nn 008mamaa
008			100301s2006 ne | s |||| 0|eng d
020			_a9781402045455
020			_a99781402045455
024	7		_a10.1007/1-4020-4545-X _2doi
082	0	4	_a519 _223
100	1		_aIvancevic, Vladimir G. _eeditor.
245	1	0	_aGeometrical Dynamics of Complex Systems _h[electronic resource] : _bA Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical Dynamics / _cedited by Vladimir G. Ivancevic, Tijana T. Ivancevic.
264		1	_aDordrecht : _bSpringer Netherlands, _c2006.
300			_aXXIII, 824 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aMicroprocessor-Based and Intelligent Systems Engineering ; _v31
505	0		_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.
520			_aThis 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. The book has two chapters and an appendix. The first chapter develops the geometrical machinery in both an intuitive and rigorous manner. The second chapter applies this geometrical machinery to a number of examples of complex systems, including mechanical, physical, control, biomechanical, robotic, neurodynamical and psycho-social-economical systems. The appendix gives all the necessary background for comprehensive reading of this book.
650		0	_aENGINEERING.
650		0	_aSYSTEMS THEORY.
650		0	_aMATHEMATICAL PHYSICS.
650		0	_aPHYSICS.
650		0	_aENGINEERING MATHEMATICS.
650		0	_aBIOMEDICAL ENGINEERING.
650	1	4	_aENGINEERING.
650	2	4	_aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
650	2	4	_aSYSTEMS THEORY, CONTROL.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
650	2	4	_aCOMPLEXITY.
650	2	4	_aBIOMEDICAL ENGINEERING.
700	1		_aIvancevic, Tijana T. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781402045448
830		0	_aMicroprocessor-Based and Intelligent Systems Engineering ; _v31
856	4	0	_uhttp://dx.doi.org/10.1007/1-4020-4545-X _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-ENG
942			_2ddc _cER
999			_c60913 _d60913