394:(Oxford University Press, New York, 2005). Zaslavsky was one of the key persons in the theory of dynamical chaos who made important contributions to a variety of other subjects. He authored and coauthored nine books and more than 300 papers in scientific journals. His books and papers influenced and are influencing very much in advancing modern nonlinear science.
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342:. 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
334:, 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
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322:. 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
283:, not far away from Novosibirsk. There he founded a laboratory of the theory of nonlinear processes which still exists today. In Krasnoyarsk he became interested in the theory of
295:(Nauka, Moscow and Harwood, Amsterdam, 1985). In 1981, Zaslavsky and Sadrilla Abdullaev published the first paper on chaotic instability of sound rays in idealized underwater
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with regular and chaotic motion. The results obtained in the 60th were summarized in the book "Statistical
Irreversibility in Nonlinear Systems" (Nauka, Moscow, 1970).
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The end of the 1960s was a difficult time for
Zaslavsky. He was forced to leave the Institute of Nuclear Physics in Novosibirsk for signing letters in defense of some
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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
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D. Makarov, S. Prants, A. Virovlyansky, and G. Zaslavsky. Ray and wave chaos in ocean acoustics (Chaos in waveguides). World
Scientific Press: Singapore, 2009.
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G. M. Zaslavsky, R. Z. Sagdeev, D. A. Usikov, A. A. Chemikov, Weak Chaos and Quasi-Regular
Patterns. Cambridge: Cambridge University Press, 1991. 265 pages
260:. This complexity cannot be adequately described in terms of individual trajectories and requires statistical methods. Typical Hamiltonian systems are not
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R. Z. Sagdeev, D. A. Usikov, G. M. Zaslavsky, Nonlinear
Physics: From the Pendulum to Turbulence and Chaos. New-York: Harwood Academic Publishers, 1988.
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326:(Nauka, Moscow and Harwood, New York, 1988), written with Sagdeev, is now a classical textbook for chaos theory. When studying interaction of a
291:) after which quantum evolution begins to deviate from a semiclassical one. The results obtained in Krasnoyarsk were summarized in the book
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287:. The first rigorous theory of quantum resonance was developed in 1977. He introduced the important notion of quantum break time (the
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In 1991 Zaslavsky emigrated to the United States and became a professor of physics and mathematics at the physics department of
346:(Nauka, Moscow, 1991 and Cambridge University Press, Cambridge, 1991) coauthored with R. Sagdeev, D. Usikov, and A. Chernikov.
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268:, and this chaos is not homogeneous. At the same values of the control parameters, there coexist regions in the
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242:. The work "Stochastical instability of nonlinear oscillations" by G. Zaslavsky and B. Chirikov, published in
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G. M. Zaslavsky, Physics of Chaos in
Hamiltonian Dynamics. London: Imperial College Press, 1998. 350 pages
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G. M. Zaslavsky, Hamiltonian Chaos and
Fractional Dynamics. Oxford: Oxford University Press, 2005.
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G. M. Zaslavsky, Chaos in
Dynamic Systems. New-York: Harwood Academic Publishers, 1985. 370 pages.
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299:. The first results of their studies on this topic were summarized in a review paper published in
256:. It was realized that very complicated behavior is possible in dynamical systems with only a few
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in the ocean. In his New York period, he published two seminal books on the
Hamiltonian chaos:
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in 1971, was the first review paper to "open the eyes" of many physicists to the power of the
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167:(Cyrillic: ΠΠ΅ΠΎΡΠ³ΠΈΠΉ ΠΠΎΠΈΡΠ΅Π΅Π²ΠΈΡ ΠΠ°ΡΠ»Π°Π²ΡΠΊΠΈΠΉ) (31 May 1935 β 25 November 2008) was a
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on 31 May 1935. His father was an artillery officer who dragged his cannon in
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map that became one of the major tools in the theoretical study of
548:ΠΠ°ΠΌΡΡΠΈ ΠΠ΅ΠΎΡΠ³ΠΈΡ ΠΠΎΠΈΡΠ΅Π΅Π²ΠΈΡΠ° ΠΠ°ΡΠ»Π°Π²ΡΠΊΠΎΠ³ΠΎ (31.05.1935 β 25.11.2008)
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in 1957 where a golden age of Siberian physics was beginning.
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Communications in Nonlinear Science and Numerical Simulation
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Nonlinear Physics: from the Pendulum to Turbulence and Chaos
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and survived there. Zaslavsky received his education at the
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known as ray and wave chaos in underwater sound channels.
279:. Zaslavsky got a position at the Institute of Physics in
362:. There he studied the principal problems of Hamiltonian
502:"An editorial in honour of Professor George Zaslavsky"
234:. In 1968, Zaslavsky and his colleagues introduced a
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where he became interested in nonlinear problems of
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and one of the founders of the physics of dynamical
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590:Courant Institute of Mathematical Sciences alumni
303:in 1991. Now it is a well-developed branch in
230:helped him form an interest in the theory of
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551:[In memory of George M. Zaslavsky],
390:(Imperial College Press, London, 1998) and
360:Courant Institute of Mathematical Sciences
153:Courant Institute of Mathematical Sciences
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392:Hamiltonian Chaos and Fractional Dynamics
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388:Physics of Chaos in Hamiltonian Systems
344:Weak Chaos and Quasi-Regular Structures
366:connected with anomalous kinetics and
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580:20th-century Ukrainian physicists
585:20th-century American physicists
382:, and long-range propagation of
500:Luo, Albert C. J. (June 2009).
210:In 1965, Zaslavsky joined the
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212:Institute of Nuclear Physics
141:Institute of Nuclear Physics
27:Soviet physicist (1935β2008)
18:George Moiseevitch Zaslavsky
527:10.1016/j.cnsns.2008.12.003
316:Institute of Space Research
145:Institute of Space Research
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512:(6). Elsevier Ltd.: 2519.
293:Chaos in Dynamical Systems
314:invited Zaslavsky to the
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250:dynamical systems theory
186:Zaslavsky was born in
172:mathematical physicist
545:ΠΡΠ°Π½Ρ, Π‘. Π. (2008),
372:statistical mechanics
553:ΠΠ΅Π»ΠΈΠ½Π΅ΠΉΠ½Π°Ρ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠ°
480:10 July 2009 at the
350:In the United States
196:University of Odessa
99:University of Odessa
518:2009CNSNS..14.2519L
486:New York University
368:fractional dynamics
356:New York University
165:George M. Zaslavsky
149:New York University
55:George M. Zaslavsky
398:Books (in English)
340:degrees of freedom
258:degrees of freedom
575:Soviet physicists
376:chaotic advection
370:, foundations of
277:Soviet dissidents
240:Hamiltonian chaos
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16:(Redirected from
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305:ocean acoustics
301:Physics Uspekhi
245:Physics Uspekhi
232:dynamical chaos
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82:(2008-11-25)
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600:2008 deaths
595:1935 births
332:wave packet
281:Krasnoyarsk
270:phase space
252:and modern
216:accelerator
200:Novosibirsk
127:Mathematics
65:31 May 1935
569:Categories
462:References
297:waveguides
262:integrable
236:separatrix
182:Early life
61:1935-05-31
310:In 1984,
222:physics.
478:Archived
358:and the
514:Bibcode
330:with a
266:chaotic
131:physics
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320:Moscow
220:plasma
206:Career
169:Soviet
123:Fields
71:, USSR
69:Odessa
364:chaos
176:chaos
110:chaos
448:ISBN
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