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Nonlinear Dynamics and Chaotic Phenomena: An Introduction - B.K Shivamoggi
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B.K Shivamoggi:
Nonlinear Dynamics and Chaotic Phenomena: An Introduction - nieuw boek

ISBN: 9789048149261

ID: 978904814926

FolJowing the formulation of the laws of mechanics by Newton, Lagrange sought to clarify and emphasize their geometrical character. Poincare and Liapunov successfuIJy developed analytical mechanics further along these lines. In this approach, one represents the evolution of all possible states (positions and momenta) by the flow in phase space, or more efficiently, by mappings on manifolds with a symplectic geometry, and tries to understand qualitative features of this problem, rather than solving it explicitly. One important outcome of this line of inquiry is the discovery that vastly different physical systems can actually be abstracted to a few universal forms, like Mandelbrot''s fractal and Smale''s horse-shoe map, even though the underlying processes are not completely understood. This, of course, implies that much of the observed diversity is only apparent and arises from different ways of looking at the same system. Thus, modern nonlinear dynamics 1 is very much akin to classical thermodynamics in that the ideas and results appear to be applicable to vastly different physical systems. Chaos theory, which occupies a central place in modem nonlinear dynamics, refers to a deterministic development with chaotic outcome. Computers have contributed considerably to progress in chaos theory via impressive complex graphics. However, this approach lacks organization and therefore does not afford complete insight into the underlying complex dynamical behavior. This dynamical behavior mandates concepts and methods from such areas of mathematics and physics as nonlinear differential equations, bifurcation theory, Hamiltonian dynamics, number theory, topology, fractals, and others. B.K Shivamoggi, Books, Science and Nature, Nonlinear Dynamics and Chaotic Phenomena: An Introduction Books>Science and Nature, Springer-Verlag/Sci-Tech/Trade

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Nonlinear Dynamics and Chaotic Phenomena - Shivamoggi, B.K
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Shivamoggi, B.K:
Nonlinear Dynamics and Chaotic Phenomena - pocketboek

2011, ISBN: 9789048149261

[ED: Softcover], [PU: Springer Netherlands], FolJowing the formulation of the laws of mechanics by Newton, Lagrange sought to clarify and emphasize their geometrical character. Poincare and Liapunov successfuIJy developed analytical mechanics further along these lines. In this approach, one represents the evolution of all possible states (positions and momenta) by the flow in phase space, or more efficiently, by mappings on manifolds with a symplectic geometry, and tries to understand qualitative features of this problem, rather than solving it explicitly. One important outcome of this line of inquiry is the discovery that vastly different physical systems can actually be abstracted to a few universal forms, like Mandelbrot's fractal and Smale's horse-shoe map, even though the underlying processes are not completely understood. This, of course, implies that much of the observed diversity is only apparent and arises from different ways of looking at the same system. Thus, modern nonlinear dynamics 1 is very much akin to classical thermodynamics in that the ideas and results appear to be applicable to vastly different physical systems. Chaos theory, which occupies a central place in modem nonlinear dynamics, refers to a deterministic development with chaotic outcome. Computers have contributed considerably to progress in chaos theory via impressive complex graphics. However, this approach lacks organization and therefore does not afford complete insight into the underlying complex dynamical behavior. This dynamical behavior mandates concepts and methods from such areas of mathematics and physics as nonlinear differential equations, bifurcation theory, Hamiltonian dynamics, number theory, topology, fractals, and others. 2011. xiii, 410 S. 21 SW-Abb.,. 235 mm Versandfertig in 3-5 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Nonlinear Dynamics and Chaotic Phenomena: An Introduction - B.K Shivamoggi
uitverkocht boek
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B.K Shivamoggi:
Nonlinear Dynamics and Chaotic Phenomena: An Introduction - nieuw boek

ISBN: 9789048149261

ID: 978904814926

This book has grown out of the author''s lecture notes for an interdisciplinary graduate-level course on nonlinear dynamics. The author describes in a clear and coherent way the basic concepts, language and results of nonlinear dynamical systems. In order to allow for an interdisciplinary readership, an informal style has been adopted and the mathematical formalism kept to a minimum. The book starts with a discussion of nonlinear differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics - integrable systems, Poincaré maps, chaos, fractals and strange attractors. Baker''s transformation, the logistic map and the Lorenz system are discussed in detail. Finally, there are systematic discussions of the application of fractals to turbulence in fluids, and the Painlevé property of nonlinear differential equations. Exercises are given at the end of each chapter. This book is accessible to first-year graduate students in applied mathematics, physics and engineering, and is useful to any theoretically inclined researcher in physical sciences and engineering. Among the unique features of this book are: a strong middle ground between elementary undergraduate texts on the one hand, and advanced level monographs on the other the presentation of some original developments a thorough discussion of the application of fractals to turbulence in fluids. PS/LISTPS B.K Shivamoggi, Books, Science and Nature, Nonlinear Dynamics and Chaotic Phenomena: An Introduction Books>Science and Nature, Springer Netherlands

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Nonlinear Dynamics and Chaotic Phenomena : An Introduction - Bhimsen K. Shivamoggi
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Bhimsen K. Shivamoggi:
Nonlinear Dynamics and Chaotic Phenomena : An Introduction - gebruikt boek

ISBN: 9048149266

ID: 10878173

FolJowing the formulation of the laws of mechanics by Newton, Lagrange sought to clarify and emphasize their geometrical character. Poincare and Liapunov successfuIJy developed analytical mechanics further along these lines. In this approach, one represents the evolution of all possible states (positions and momenta) by the flow in phase space, or more efficiently, by mappings on manifolds with a symplectic geometry, and tries to understand qualitative features of this problem, rather than solving it explicitly. One important outcome of this line of inquiry is the discovery that vastly different physical systems can actually be abstracted to a few universal forms, like Mandelbrot's fractal and Smale's horse-shoe map, even though the underlying processes are not completely understood. This, of course, implies that much of the observed diversity is only apparent and arises from different ways of looking at the same system. Thus, modern nonlinear dynamics 1 is very much akin to classical thermodynamics in that the ideas and results appear to be applicable to vastly different physical systems. Chaos theory, which occupies a central place in modem nonlinear dynamics, refers to a deterministic development with chaotic outcome. Computers have contributed considerably to progress in chaos theory via impressive complex graphics. However, this approach lacks organization and therefore does not afford complete insight into the underlying complex dynamical behavior. This dynamical behavi math,mathematics,science,science and math,science and scientists,science and technology Mathematics, Springer

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Nonlinear Dynamics and Chaotic Phenomena: An Introduction (Fluid Mechanics and Its Applications) - B.K Shivamoggi
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B.K Shivamoggi:
Nonlinear Dynamics and Chaotic Phenomena: An Introduction (Fluid Mechanics and Its Applications) - pocketboek

2011, ISBN: 9048149266

ID: 19186377187

[EAN: 9789048149261], Neubuch, [PU: Springer], This item is printed on demand for shipment within 3 working days.

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Bijzonderheden over het boek
Nonlinear Dynamics and Chaotic Phenomena: An Introduction (Fluid Mechanics and Its Applications)

This book has grown out of the author's lecture notes for an interdisciplinary graduate-level course on nonlinear dynamics. The author describes in a clear and coherent way the basic concepts, language and results of nonlinear dynamical systems. In order to allow for an interdisciplinary readership, an informal style has been adopted and the mathematical formalism kept to a minimum. The book starts with a discussion of nonlinear differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics - integrable systems, Poincaré maps, chaos, fractals and strange attractors. Baker's transformation, the logistic map and the Lorenz system are discussed in detail. Finally, there are systematic discussions of the application of fractals to turbulence in fluids, and the Painlevé property of nonlinear differential equations. Exercises are given at the end of each chapter. This book is accessible to first-year graduate students in applied mathematics, physics and engineering, and is useful to any theoretically inclined researcher in physical sciences and engineering. Among the unique features of this book are: a strong middle ground between elementary undergraduate texts on the one hand, and advanced level monographs on the other the presentation of some original developments a thorough discussion of the application of fractals to turbulence in fluids. £/LIST£

Gedetalleerde informatie over het boek. - Nonlinear Dynamics and Chaotic Phenomena: An Introduction (Fluid Mechanics and Its Applications)


EAN (ISBN-13): 9789048149261
ISBN (ISBN-10): 9048149266
Gebonden uitgave
pocket book
Verschijningsjaar: 2011
Uitgever: Springer-Verlag GmbH
428 Bladzijden
Gewicht: 0,678 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 15.10.2011 17:15:44
Boek voor het laatst gevonden op 02.07.2018 13:45:36
ISBN/EAN: 9789048149261

ISBN - alternatieve schrijfwijzen:
90-481-4926-6, 978-90-481-4926-1


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