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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis An Introduction to Dynamical Systems and Chaos
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An Introduction to Dynamical Systems and Chaos
G.C. Layek (Gebundene Ausgabe, Englisch)
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Beschreibung
The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the… topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1–8 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 9–13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonian flows and symmetries of nonlinear systems are among the main focuses of this book. Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
08.12.2015
Sprache
Englisch
EAN
9788132225553
Herausgeber
Springer India
Sonderedition
Nein
Autor
G.C. Layek
Seitenanzahl
622
Auflage
1
Einbandart
Gebundene Ausgabe
Autorenporträt
G. C. LAYEK is professor at the Department of Mathematics, The University of Burdwan, India. He obtained his PhD degree from Indian Institute of Technology Kharagpur and did his postdoctoral studies at Indian Statistical Institute, Kolkata. His areas of research are theoretical fluid dynamics of viscous fluid, fluid turbulence and chaotic systems. Professor Layek has published several research papers in international journals of repute and has visited several international universities including Saint Petersburg State University, Kazan State Technological University, Russia, for collaborative research work and teaching.
Schlagwörter
Bifurcation Theory, Chaos Theory, Conjugacy, Flows, Fractals., Hamiltonian Flows, Lie Symmetry Analysis, Oscillations, Phase Plane Analysis, Sability Theory
Thema-Inhalt
GPFC - Kybernetik und Systemtheorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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