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Download e-book for iPad: Adventures in Order and Chaos: A Scientific Autobiography by George Contopoulos

By George Contopoulos

ISBN-10: 1402030398

ISBN-13: 9781402030390

ISBN-10: 1402030401

ISBN-13: 9781402030406

The box of Order and Chaos had a outstanding enlargement within the final 50 years. the most cause was once using pcs, and the improvement of latest theoretical tools that we name now 'the thought of chaos'. the writer describes this interesting interval in a peaceful and infrequently funny autobiographical means. He relates his interactions with many of us in dynamical astronomy and he rates numerous anecdotes from those interactions. He refers additionally to his reviews while he served in a number of foreign positions, similar to common secretary of the IAU and chairman of the magazine Astronomy and Astrophysics. in recent times the speculation of chaos has been prolonged to new components, like relativity, cosmology and quantum mechanics and it keeps increasing in just about all branches of physics. The e-book describes many vital rules during this box in an easy approach. It refers additionally to difficulties of extra common curiosity, like writing papers and giving lectures and the interplay of authors and referees. eventually it provides a few helpful customers for the way forward for dynamical astronomy and similar fields.

George Contopoulos, PhD U.Athens1953; Professor of Astronomy U.Thessaloniki 1957-75; U.Athens 1975-96; Emeritus 1996-; Member, Academy of Athens 1997-. traveling Professor Yale U., Harvard U., MIT, Cornell U., U.Chicago, U.Maryland, U. Florida, Florida nation U., U. Milan; Res. affiliate, Yerkes Obs., Inst.Adv.Study Princeton, Inst.Space experiences, Goddard Flight middle, Columbia U., ESO. writer or Editor of 15 books, and approximately 250 papers on Galactic Dynamics, Relativity and Celestial Mechanics. Positions held: Gen.Secretary of the IAU; Director normal Nat.Obs.of Greece, Pres.Hellenic Astron.Soc.; Nat.Representative of Greece in NATO, and so forth. differences: Amer. Astron.Soc. Brouwer Prize; U.Chicago, Honorary Doctor's measure; IAU, Pres. fee 33 (Galaxy); Member Academia Europaea; affiliate Royal Astron. Soc.; Chairman of the eu magazine "Astronomy and Astrophysics"; Assoc. Editor of "Cel. Mech. Dyn. Astron."; Over 4500 citations and three hundred acknowledgements.

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But Chirikov himself in an earlier paper (Zaslavsky and Chirikov 1972) gives credit to the previous papers of Rosenbluth et al. 11) implies overlap of resonances of the same order of magnitude. In the general case, stochastic instabilities can arise from intersection of narrow stochastic layers... , 65=Contopoulos). 44 ADVENTURES IN ORDER AND CHAOS Some people refer to a short earlier paper of Chirikov (1959). But this paper considers the successive crossings of various separate resonances by orbits, without mentioning resonance overlap.

That method worked for several years (with occasional visits to New York). But finally the connection was lost. The last time I came to New York I had great difficulty in finding my decks of cards. Finally I did find about half of them in some remote drawers. But from then on, cards became obsolete and we used magnetic tapes. I always carried such tapes with me in later years. In New York I had many Greek friends that I met mainly at the Greek orthodox cathedral every Sunday. The churches are the meeting places of Greeks all over the world.

The third integral has a large number of important applications. One of the first was to find the boundaries of the orbits (Contopoulos 1960). The box orbits fill curvilinear parallelograms, while the tube orbits fill tubes around particular periodic orbits (Fig. 4). In both cases the boundaries can be found using the appropriate form of the third integral (Contopoulos 1965a). A particular application was to find the periodic orbits and their stability character (stability, or instability). This method gives very good results, that can be compared with the empirical calculations of periodic orbits, by using a Newton method, or any other numerical method (Contopoulos 1965a, 1968).

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