>Selected Publications of Boris Chirikov

Selected Publications of Boris Chirikov

(N.Roerich, 1945, In Thought, Musei Vostoka, Moskva)

1959

1. B.V.Chirikov, "Resonance processes in magnetic traps", At. Energ. 6: 630 (1959) (in Russian - (here) ; better scan (here) ) [English translation: J. Nucl. Energy Part C: Plasma Phys. 1: 253 (1960) (in English (here) )]
1964

2. B.V.Chirikov and G.M.Zaslavsky, "On the mechanism of one-dimensional Fermi acceleration", Dokl. Akad. Nauk SSSR 159: 306 (1964) [in Russian (here) )]
1966

3. B.V.Chirikov and F.M.Izrailev, "Statistical properties of a non-linear string", Dokl. Akad. Nauk SSSR 166: 57 (1966) [English translation: (here) )]
1969

4. B.V.Chirikov, "Research concerning the theory of nonlinear resonance and stochasticity", Preprint N 267, Institute of Nuclear Physics, Novosibirsk (1969) (in Russian (here) ) [Engl. Transl., CERN Trans. 71 - 40, Geneva, October (1971), Translated by A.T.Sanders (here 48Mgb) ; (here part1 24Mgb) ; (here part2 24Mgb) ; good scan from CERN (here 12Mgb) ]
1971

5. B.V.Chirikov and G.M.Zaslavsky, "Stochastic instability of nonlinear oscillations", Uspekhi Fiz. Nauk 105: 3 (1971) (in Russian (here) ) [English translation: Sov. Phys. Uspekhi-USSR 14: 549 (1972) (to appear) )]
1973

6. B.V.Chirikov, F.M.Izrailev, and V.A.Tayurski, "Numerical experiments on statistical behavior of dynamical systems with a few degrees of freedoms", Computer Phys. Comm. 5: 11 (1973) (here)
1979

7. B.V.Chirikov, "A universal instability of many-dimensional oscillator systems", Phys. Rep. 52: 263 (1979) (link here) ; see corrected missprints pages (here) ; (dve knigi NGU po russki: (part1 here) dli angliiskoi versii tozhe imia s e vmesto r; (part2 here) )

8. F.M.Izrailev, G.Casati, J.Ford, B.V.Chirikov, "Stochastic behavior of a quantum pendulum under a periodic perturbation", Preprint 78-46, Institute of Nuclear Physics, Novosibirsk (1978) (extended version in Russian (here) ; angliiskaia versiia scan (here) ; zhurnal (here) ) G.Casati, B.V.Chirikov, F.M.Izraelev, J.Ford, Lecture Notes in Physics, Springer, Berlin, 93: 334 (1979) (link here)
1981

9. B.V.Chirikov, F.M.Izrailev and D.L.Shepelyansky, "Dynamical stochasticity in classical and quantum mechanics", Sov. Scient. Rev. C 2: 209 (1981) [Section C - Mathematical Physics Reviews, Ed. S.P.Novikov vol.2, Harwood Acad. Publ., Chur, Switzerland (1981)] (here)

10. B.V.Chirikov and D.L.Shepelyansky, "Statistics of Poincare Recurrences and the Structure of the Stochastic Layer of a Nonlinear Resonance", Dated: April 14, 1981, Preprint INP 81-69, Novosibirsk 1981 (in Russian (here) );
English translation available as Preprint PPPL-TRANS-133, Plasma Phys. Lab., Princeton Univ, Princeton, New Jersey, 1983 (here) ;
Proc. IX Int. Conf. on Nonlinear Oscillations (Kiev 1981), Naukova Dumka 2: 420 (1984) (in Russian (here) )

11. B.V.Chirikov and D.L.Shepelyansky, "Stochastic Oscillations of Classical Yang-Mills Fields", Pis'ma Zh. Eksp. Teor. Fiz. 34: 171 (1981) (in Russian: (here) ); [B.V.Chirikov and D.L.Shepelyanskii, JETP Lett., 34: 163 (1981), in English (here) ]

12. B.V.Chirikov and F.M.Izraelev, "Degeneration of turbulence in simple systems", Physica D 2: 30 (1981) (here)
1984

13. B.V.Chirikov and D.L.Shepelyansky, "Correlation properties of dynamical chaos in Hamiltonian systems", Physica D 13: 395 (1984) (here)

14. G.Casati, B.V.Chirikov and D.L.Shepelyansky, "Quantum limitations for chaotic excitation of hydrogen atom in monochromatic field", Phys. Rev. Lett. 53: 2525 (1984) (here)
1985

15. B.V.Chirikov, "An example of chaotic eigenstates in a complex atom" Phys. Lett. A 108: 68 (1985) (here)
1986

16. B.V.Chirikov and D.L.Shepelyansky, "Localization of Dynamical Chaos in Quantum Systems", Izvestiya Vysshikh Uchebnykh Zavedenii Radiofizika 29: 1041(1986) (in Russian: (here) , in English: (here) )
1987

17. G.Casati, B.V.Chirikov, D.L.Shepelyansky and I.Guarneri, "Relevance of classical chaos in quantum mechanics: the hydrogen atom in a monochromatic field", Phys. Rep. 154: 77 (1987) (here)

18. B.V.Chirikov, "Particle confinement and adiabatic invariance", Proc. Royal Soc. London A 413: 145 (1987) (here)
1988

19. B.V.Chirikov, F.M.Izrailev and D.L.Shepelyansky, "Quantum chaos: localization vs. ergodicity", Physica D 33: 77 (1988) (here)
1989

20. B.V.Chirikov and V.V.Vecheslavov, "Chaotic dynamics of comet Halley", Astron. Astrophys. 221: 146 (1989) (here)

21. B.V.Chirikov, "Time-dependent quantum systems", in "Chaos and quantum physics", Eds. M-J.Giannoni, A.Voros and J.Zinn-Justin, Les Houches, Session LII p.443 (1989), Elsvier Sci. Publ. B.V. (1991) (here)
1997

22. B.V.Chirikov and V.V.Vecheslavov, "Arnold diffusion in large systems", Zh. Eksp. Teor. Fiz. 112: 1132-1146 (1997) [JETP 85(3): 616 (1997)] (here)
1999

23. B.V.Chirikov and F.Vivaldi, "An algorithmic view of pseudochaos" Physica D 129: 223 (1999) (here)

24. B.V.Chirikov and D.L.Shepelyansky, "Asymptotic statistics of Poincare recurrences in Hamiltonian systems with divided phase space" Phys. Rev. Lett. 82: 528 (1999) (here) ; Phys. Rev. Lett. 89: 239402 (2002) (here)
2002

25. B.V.Chirikov and V.V.Vecheslavov, " Fractal diffusion in smooth dynamical systems with virtual invariant curves", JETP 95: 560 (2002) (here)
2005

26. B.V.Chirikov, "Creating chaos and the Life", arXiv:physics/0503072 (2005) (here) ; in Russian published in Report of Budker Institute of Nuclear Physics, Novosibirsk, p.60-69 (2004) (here)