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Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, biomechanics, Neurodynamics and Psycho-Socio-Economical Dynamics - Couverture rigide
Synopsis
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.
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Geometrical Dynamics of Complex Systems
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Geometrical Dynamics of Complex Systems
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Springer Netherlands Jan 2006, 2006
ISBN 10 : 1402045441
ISBN 13 : 9781402045448
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Couverture rigide
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 852 pp. Englisch. N° de réf. du vendeur 9781402045448
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Geometrical Dynamics of Complex Systems
Edité par
Springer Netherlands, Springer Netherlands Jan 2006, 2006
ISBN 10 : 1402045441
ISBN 13 : 9781402045448
Neuf
Couverture rigide
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -uncontrollability.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 852 pp. Englisch. N° de réf. du vendeur 9781402045448
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