Hamiltonian Dynamical Systems A REPRINT SELECTION

Hamiltonian Dynamical Systems A REPRINT SELECTION by R.S MacKay, published by CRC Press in January 1987, is a comprehensive collection of significant papers in Hamiltonian dynamics spanning the last 60 years. This 784-page volume addresses the challenges faced by readers in accessing key results scattered throughout specialist literature. It covers topics such as bifurcation of periodic orbits, the break-up of invariant tori, and chaotic behavior in hyperbolic systems, providing an introductory survey to help readers grasp the underlying themes connecting the diverse articles.
Readers will find a thorough exploration of the intricacies of real systems that exhibit both order and chaos, along with applications in various fields including celestial mechanics, plasma physics, and fluid mechanics. The book serves as a valuable introduction for those with an undergraduate background in physics or mathematics and acts as an essential reference for researchers and graduate students interested in classical mechanics. With its extensive bibliography, this edition is designed to facilitate deeper understanding and further study in the subject.
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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.
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