Vvedenie v Nelineynuyu Fiziku ot Mayatnika Do Turbulentnosti I Khaosa [Translation from the Russian Introduction to Non-Linear Physics from Pendulum to Turbulence and Chaos]
Moscow: Navka, 1988. One of only 8,700. Hardcover. TEXT IS IN RUSSIAN. 368 pages. Illustrations. Formulae. Bibliography. Index. Decorative cover. Minor cover wear and soiling. Inscribed by Sagdeev on the title page. Inscription reads Dorogomy Shuan Liv na dobruyu pamiat R. Sagdeev 17/III-89.[Translation Dear Shuan Liv in good memories]. Roald Zinnurovich Sagdeev (born 26 December 1932) is a Russian expert in plasma physics and a former director of the Space Research Institute of the USSR Academy of Sciences. He was also a science advisor to the Soviet President Mikhail Gorbachev. Sagdeev graduated from Moscow State University. He is a member of both the Russian Academy of Sciences and the American Philosophical Society. He has worked at the University of Maryland, College Park since 1989 in the University of Maryland College of Computer, Mathematical, and Natural Sciences. Sagdeev was married to, and divorced from, Susan Eisenhower, granddaughter of Dwight D. Eisenhower. Sagdeev was the recipient of the 2003 Carl Sagan Memorial Award, and the James Clerk Maxwell Prize for Plasma Physics (2001). George M. Zaslavsky (31 May 1935 – 25 November 2008) was a Soviet mathematical physicist and one of the founders of the physics of dynamical chaos. In 1991 Zaslavsky emigrated to the United States and became a Professor of Physics and Mathematics at the Physics Department of New York University and the Courant Institute of Mathematical Sciences. In 1965, Zaslavsky joined the Institute of Nuclear Physics where he became interested in nonlinear problems of accelerator and plasma physics. Roald Sagdeev and Boris Chirikov helped him form an interest in the theory of dynamical chaos. In 1968, Zaslavsky and his colleagues introduced a separatrix map that became one of the major tools in the theoretical study of Hamiltonian chaos. The work "Stochastical instability of nonlinear oscillations" by G. Zaslavsky and B. Chirikov, published in Physics Uspekhi in 1971, was the first review paper to "open the eyes" of many physicists to the power of the dynamical systems theory and modern ergodic theory. It was realized that very complicated behavior is possible in dynamical systems with only a few degrees of freedom. This complexity cannot be adequately described in terms of individual trajectories and requires statistical methods. Typical Hamiltonian systems are not integrable but chaotic, and this chaos is not homogeneous. At the same values of the control parameters, there coexist regions in the phase space with regular and chaotic motion. The results obtained in the 60th were summarized in the book "Statistical Irreversibility in Nonlinear Systems" (Nauka, Moscow, 1970). In 1984, Roald Sagdeev invited Zaslavsky to the Institute of Space Research in Moscow. There he has worked on the theory of degenerate and almost degenerate Hamiltonian systems, anomalous chaotic transport, plasma physics, and theory of chaos in waveguides. The book Nonlinear Physics: from the Pendulum to Turbulence and Chaos (Nauka, Moscow and Harwood, New York, 1988), written with Sagdeev, is now a classical textbook for chaos theory. When studying interaction of a charged particle with a wave packet, Zaslavsky with colleagues from that institute discovered that stochastic layers of different separatrices in degenerated Hamiltonian systems may merge producing a stochastic web. Unlike the famous Arnold diffusion in non-degenerated Hamiltonian systems, that appears only if the number of degrees of freedom exceeds 2, diffusion in the Zaslavsky webs is possible at one and half degrees of freedom. This diffusion is rather universal phenomenon and its speed is much greater than that of Arnold diffusion. Beautiful symmetries of the Zaslavsky webs and their properties in different branches of physics have been described in the book Weak Chaos and Quasi-Regular Structures (Nauka, Moscow, 1991 and Cambridge University Press, Cambridge, 1991) coauthored with R. Sagdeev, D. Usikov, and A. Chernikov. Condition: Very good / No dust jacket present.
Keywords: Physics, Particle, Waves, Nonlinear, Non-linear, Dynamical Chaos, Ergodic Theory, Hamiltonian Systems, Pendulum, Turbulence, Stochastic Web
ISBN: 5020138223
[Book #85158]
Price: $2,500.00