Multi Hamiltonian Theory Of Dynamical Systems PDF Download
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| Author | : Maciej Blaszak |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 355 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 364258893X |
Download Multi-Hamiltonian Theory of Dynamical Systems Book in PDF, ePub and Kindle
This book offers a modern introduction to the Hamiltonian theory of dynamical systems, presenting a unified treatment of all types of dynamical systems, i.e., finite, lattice, and field. Particular attention is paid to nonlinear systems that have more than one Hamiltonian formulation in a single coordinate system. As this property is closely related to integrability, this book presents an algebraic theory of integrable.
| Author | : Maciej Błaszak |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 368 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : |
Download Multi-Hamiltonian Theory of Dynamical Systems Book in PDF, ePub and Kindle
This book offers a modern introduction to the Hamiltonian theory of dynamical systems, presenting a unified treatment of all types of dynamical systems, i.e., finite, lattice, and field. Particular attention is paid to nonlinear systems that have more than one Hamiltonian formulation in a single coordinate system.
| Author | : Walter Craig |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 450 |
| Release | : 2008-02-17 |
| Genre | : Mathematics |
| ISBN | : 1402069642 |
Download Hamiltonian Dynamical Systems and Applications Book in PDF, ePub and Kindle
This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.
| Author | : H.S. Dumas |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 392 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461384486 |
Download Hamiltonian Dynamical Systems Book in PDF, ePub and Kindle
From its origins nearly two centuries ago, Hamiltonian dynamics has grown to embrace the physics of nearly all systems that evolve without dissipation, as well as a number of branches of mathematics, some of which were literally created along the way. This volume contains the proceedings of the International Conference on Hamiltonian Dynamical Systems; its contents reflect the wide scope and increasing influence of Hamiltonian methods, with contributions from a whole spectrum of researchers in mathematics and physics from more than half a dozen countries, as well as several researchers in the history of science. With the inclusion of several historical articles, this volume is not only a slice of state-of-the-art methodology in Hamiltonian dynamics, but also a slice of the bigger picture in which that methodology is imbedded.
| Author | : Kenneth R. Meyer |
| Publisher | : Springer |
| Total Pages | : 384 |
| Release | : 2017-05-04 |
| Genre | : Mathematics |
| ISBN | : 3319536915 |
Download Introduction to Hamiltonian Dynamical Systems and the N-Body Problem Book in PDF, ePub and Kindle
This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with applications. The previous editions grew out of graduate level courses in mathematics, engineering, and physics given at several different universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. This text provides a mathematical structure of celestial mechanics ideal for beginners, and will be useful to graduate students and researchers alike. Reviews of the second edition: "The primary subject here is the basic theory of Hamiltonian differential equations studied from the perspective of differential dynamical systems. The N-body problem is used as the primary example of a Hamiltonian system, a touchstone for the theory as the authors develop it. This book is intended to support a first course at the graduate level for mathematics and engineering students. ... It is a well-organized and accessible introduction to the subject ... . This is an attractive book ... ." (William J. Satzer, The Mathematical Association of America, March, 2009) “The second edition of this text infuses new mathematical substance and relevance into an already modern classic ... and is sure to excite future generations of readers. ... This outstanding book can be used not only as an introductory course at the graduate level in mathematics, but also as course material for engineering graduate students. ... it is an elegant and invaluable reference for mathematicians and scientists with an interest in classical and celestial mechanics, astrodynamics, physics, biology, and related fields.” (Marian Gidea, Mathematical Reviews, Issue 2010 d)
| Author | : Kenneth Meyer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 404 |
| Release | : 2008-12-05 |
| Genre | : Mathematics |
| ISBN | : 0387097244 |
Download Introduction to Hamiltonian Dynamical Systems and the N-Body Problem Book in PDF, ePub and Kindle
Arising from a graduate course taught to math and engineering students, this text provides a systematic grounding in the theory of Hamiltonian systems, as well as introducing the theory of integrals and reduction. A number of other topics are covered too.
| Author | : Antonio Giorgilli |
| Publisher | : Cambridge University Press |
| Total Pages | : 473 |
| Release | : 2022-05-05 |
| Genre | : Science |
| ISBN | : 1009151142 |
Download Notes on Hamiltonian Dynamical Systems Book in PDF, ePub and Kindle
Introduces Hamiltonian dynamics from the very beginning, culminating in the most important recent results: Kolmogorov's and Nekhoroshev's.
| Author | : Albert Fathi |
| Publisher | : Cambridge University Press |
| Total Pages | : 597 |
| Release | : 2006-02-02 |
| Genre | : Mathematics |
| ISBN | : 0521860687 |
Download Dynamical Systems Book in PDF, ePub and Kindle
A collection of up-to-date research and classic papers reflecting the work of Michael Herman.
| Author | : R.S MacKay |
| Publisher | : CRC Press |
| Total Pages | : 797 |
| Release | : 2020-08-17 |
| Genre | : Mathematics |
| ISBN | : 100011208X |
Download Hamiltonian Dynamical Systems Book in PDF, ePub and Kindle
Classical mechanics is a subject that is teeming with life. However, most of the interesting results are scattered around in the specialist literature, which means that potential readers may be somewhat discouraged by the effort required to obtain them. Addressing this situation, Hamiltonian Dynamical Systems includes some of the most significant papers in Hamiltonian dynamics published during the last 60 years. The book covers bifurcation of periodic orbits, the break-up of invariant tori, chaotic behavior in hyperbolic systems, and the intricacies of real systems that contain coexisting order and chaos. It begins with an introductory survey of the subjects to help readers appreciate the underlying themes that unite an apparently diverse collection of articles. The book concludes with a selection of papers on applications, including in celestial mechanics, plasma physics, chemistry, accelerator physics, fluid mechanics, and solid state mechanics, and contains an extensive bibliography. The book provides a worthy introduction to the subject for anyone with an undergraduate background in physics or mathematics, and an indispensable reference work for researchers and graduate students interested in any aspect of classical mechanics.
| Author | : Albert Luo |
| Publisher | : Springer |
| Total Pages | : 228 |
| Release | : 2009-08-13 |
| Genre | : Science |
| ISBN | : 9783642002526 |
Download Discontinuous Dynamical Systems on Time-varying Domains Book in PDF, ePub and Kindle
"Discontinuous Dynamical Systems on Time-varying Domains" is the first monograph focusing on this topic. While in the classic theory of dynamical systems the focus is on dynamical systems on time-invariant domains, this book presents discontinuous dynamical systems on time-varying domains where the corresponding switchability of a flow to the time-varying boundary in discontinuous dynamical systems is discussed. From such a theory, principles of dynamical system interactions without any physical connections are presented. Several discontinuous systems on time-varying domains are analyzed in detail to show how to apply the theory to practical problems. The book can serve as a reference book for researchers, advanced undergraduate and graduate students in mathematics, physics and mechanics. Dr. Albert C. J. Luo is a professor at Southern Illinois University Edwardsville, USA. His research is involved in the nonlinear theory of dynamical systems. His main contributions are in the following aspects: a stochastic and resonant layer theory in nonlinear Hamiltonian systems, singularity on discontinuous dynamical systems, and approximate nonlinear theories for a deformable-body.
