BINP Preprints and Reports
of Boris Chirikov
(N.Roerich, 1947, Hidden Treasure, Musei Vostoka, Moskva)
BINP Preprints
1963
1. B.V.Chirikov,
"Example of stochastic instability of nonlinear oscillations",
Report on the International Conference of Accelerators of Charged particles,
Dubna, August (1963),
Preprint N 40, Institute of Nuclear Physics, Novosibirsk (1963-1964)
(in Russian (here) )
2. E.A.Abramyan, L.N.Bondarenko,
V.I.Volosov, A.A.Naumov and B.V.Chirikov,
"Magnetic screens allowing passing of a vortex electric field",
Preprint N39 Institute of Nuclear Physics, Novosibirsk (1963-1964)
(in Russian (here) )
3. V.D. Berenov and B.V.Chirikov,
"Concerning arithmetic imitation of random numbers",
Preprint N 39, Institute of Nuclear Physics, Novosibirsk (1963-1964)
(in Russian (here) )
1964
4. A.N.Dubinina, L.Ya.Trainin and B.V.Chirikov,
"Magnetic trap for long time electron confinement",
Preprint Institute of Nuclear Physics, Novosibirsk (1964)
(in Russian (here) )
1965
5. F.M.Izrailev and B.V.Chirikov,
"Statistical properties of nonlinear string",
Preprint , Institute of Nuclear Physics, Novosibirsk (1965)
(in Russian (here) ;
Engl. Trans. Oak Ridge Nat. Lab. NT-78
(here) )
6. B.V.Chirikov,
"External circuit influence upon coherent instability",
Preprint , Institute of Nuclear Physics, Novosibirsk (1965)
(in Russian (here) ;
BINP copy (here) )
1966
7. B.V.Chirikov,
"Stochastic destruction of stellarator magnetic surfaces",
Preprint N 33, Institute of Nuclear Physics, Novosibirsk (1966)
(in Russian (here) ;
BINP copy (here) )
8. B.V.Chirikov,
"When a dynamical system becomes a statistical one?",
Preprint N 50, Institute of Nuclear Physics, Novosibirsk (1966)
(in Russian (here) ;
in English (here) ;
BINP copy (here) )
1968
9. F.M.Izrailev and B.V.Chirikov,
"Stochasticity of a simple dynamical model with divided phase space",
Preprint N 191, Institute of Nuclear Physics, Novosibirsk (1968)
(in Russian (here) ;
BINP copy (here) )
10. B.V.Chirikov,
"Some estimates of weak instability for colliding proton beams",
Preprint, Institute of Nuclear Physics, Novosibirsk (1968)
(in Russian (here) ;
BINP copy (here) )
11. F.M.Izrailev, A.I.Khisamutdinov and
B.V.Chirikov,
"Numerical experiments with a nonlinear chain",
Preprint N252, Institute of Nuclear Physics, Novosibirsk (1968)
(in Russian (here) ;
in English Los Alamos Preprint N LA-4440-TR (1970),
translated from INP Preprint 252 (1968)
(here) ;
BINP copy (here) )
1969
12. 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) ]
13. B.V.Chirikov,
"Some estimates of a single particle life time in a geomagnetic trap due
to a weak nonadiabaticity"
Preprint N 329, Institute of Nuclear Physics, Novosibirsk (1969)
(report on International Geophysical Congress, Madrid (1969);
in Russian (here) ;
in English (here) ;
BINP copy (here) )
1970
14. G.M.Zaslavsky and B.V.Chirikov,
"Stochastic instability of nonlinear oscillations",
INP preprint 43-70, Novosibirsk 1970, BINP copy in Russian
(here)
1972
15. V.V.Mazepus and B.V.Chirikov,
"Beam coherent instability inside a chamber with nonconducting walls",
Preprint Institute of Nuclear Physics, Novosibirsk (around 1972)
(in Russian (here) )
16. V.A.Tayursky,
B.V.Chirikov and V.F.Shmakov,
"Monte-Calo computation of optimal positron converter.
2.Plate-shape converter",
Preprint N 64-72, Institute of Nuclear Physics, Novosibirsk (1972)
(in Russian (here) ;
BINP copy (here) )
1973
17. F.M.Izrailev, V.S.Synakh, V.A.Tayursky,
B.V.Chirikov and V.F.Shmakov,
" Monte Carlo computation of optimal positron converter.
1. Code description.",
Preprint N 63-73, Institute of Nuclear Physics, Novosibirsk (1973)
(in Russian (here) ;
BINP copy (here) )
18. V.A.Tayursky,
B.V.Chirikov and V.F.Shmakov,
"Monte-Calo computation of optimal positron converter.
3.Cylindrical converter",
Preprint N 62-73, Institute of Nuclear Physics, Novosibirsk (1973)
(in Russian (here) ;
BINP copy (here) )
19. V.A.Tayursky,
and B.V.Chirikov,
"Monte-Calo computation of optimal positron converter",
Preprint N 73-73, Institute of Nuclear Physics, Novosibirsk (1973)
(in Russian BINP copy
(here) )
20. V.A.Tayursky and
B.V.Chirikov,
"Nonadiabaticity of charged particle motion in dipole magnetic field",
Preprint N 74-73, Institute of Nuclear Physics, Novosibirsk (1973)
(in Russian (here) ;
BINP copy (here) )
21. B.V.Chirikov,
"Stochastic wave processes",
Preprint N 42, Nauchno-Issledovvatelskii Radiophysicheskii Inst.
(NIRFI) , Gorky (1973)
(talk at Nonlinear wawes school, Gorky 1972,
in Russian (here) )
1974
22. F.M.Izrailev and B.V.Chirikov,
"Numerical experiments on stabilization of stochastic instability
using display in dialog regime",
Preprint N 74-13, Institute of Nuclear Physics, Novosibirsk (1973)
(in Russian (here) )
23. G.V.Gadiyak, F.M.Izrailev and B.V.Chirikov,
"Preliminary numerical experiments on Arnold diffusion",
Preprint N 74-49, Institute of Nuclear Physics, Novosibirsk (1974)
(in Russian (here) ;
BINP copy (here) )
1978
24. B.V.Chirikov,
"Problem of stability of motion of changed particle in a magnetic trap",
Preprint N 78-23, Institute of Nuclear Physics, Novosibirsk (1978)
(in Russian (here) ;
BINP copy (here) )
25. B.V.Chirikov,
"Homogeneous model of resonant particle diffusion
in an open magnetic trap",
Preprint N 78-67, Institute of Nuclear Physics, Novosibirsk (1978)
(INP preprint
(here);
BINP copy in Russian (here) )
26. B.V.Chirikov,
"Nature of statistical laws in classical mechanics",
Preprint N 78-66, Institute of Nuclear Physics, Novosibirsk (1978)
(BINP copy in Russian (here) )
27. F.M.Izrailev, G.Casati, J.Ford and B.V.Chirikov,
"Stochastic oscillations of quantum pendulum at periodic pertrubation",
Preprint N 78-46, Institute of Nuclear Physics, Novosibirsk (1978)
(BINP copy in Russian (here) )
1980
28. F.M.Izrailev and B.V.Chirikov,
"Degeneracy of turbulence in simple systems",
Preprint N 80-128, Institute of Nuclear Physics, Novosibirsk (1980)
(BINP copy in Russian (here) )
29. B.V.Chirikov, F.M.Izrailev and D.L.Shepelyansky
"Dynamical (transient) stochasticity in quantum mechanics",
Preprint N 80-209 and 80-210, Institute of Nuclear Physics, Novosibirsk (1980)
(BINP copy in Russian
(here) ;
BINP copy in English
(here) )
1981
30. 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) ;
BINP copy (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) )
31. J.Ford, F.Vivaldi, B.V.Chirikov, F.M.Izrailev
and D.L.Shepelyansky,
"The modulational diffusion in nonlinear oscillator systems",
Preprint INP 81-70, Novosibirsk 1981
(report at the 9th International Conference on Nonlinear Oscillations,
Kiev 1981, (here) ;
BINP copy
(here) );
1982
32. B.V.Chirikov and D.L.Shepelyansky,
"Dynamics of some homogeneous models of Yang-Mills fields",
Preprint INP 82-120, Novosibirsk 1982
(BINP copy in Russian
(here) );
33. B.V.Chirikov,
"The nature and properties of the dynamical chaos",
Preprint INP 82-152, Novosibirsk 1982
(a talk given at the 2d International Seminar
"Group theory methods in physics",
Zvenigorov 1982, (here) ;
BINP copy
(here) );
1983
34. B.V.Chirikov and D.L.Shepelyansky,
""Correlation Properties of Dynamical
Chaos in Hamiltonian Systems",
in Russian, Preprint INP 83-149, Novosibirsk 1983
(here) ;
BINP copy (here)
(shorten version published in
Physica D 13: 395 (1984))
1984
35. G.Casati, B.V.Chirikov and D.L.Shepelyansky,
"Quantum limitation for chaotic excitation of hydrogen atom in
monochromatic field",
Preprint INP 84-144, Novosibirsk 1984, published in
Phys. Rev. Lett. (1984),
BINP copy (here)
36. G.Casati, B.V.Chirikov and I.Guarneri,
"Energy level statistics in integrable quantum systems",
Preprint INP 84-145, Novosibirsk 1984,
BINP copy (here)
37. B.V.Chirikov,
"Intrinsic stochasticity",
Preprint INP 84-147, Novosibirsk 1984, published in
Proc. Int. Conf. on Plasma Physics, Lausanne, CH, 2: 761 (1984)
(here)
(better scan (here) ;
BINP copy (here) )
1985
38. B.V.Chirikov and D.L.Shepelyansky,
"Localization of dynamical chaos in simple quantum systems",
in Russian, Preprint INP 85-29, Novosibirsk 1985;
BINP copy (here)
39. B.V.Chirikov,
"Transient chaos in quantum and classical mechanics",
in Russian, Preprint INP 85-55, Novosibirsk 1985;
BINP copy (here)
40. B.V.Chirikov,
"Stability of particle dynamics in a mirror trap",
in Russian, Preprint INP 85-86, Novosibirsk 1985;
BINP copy (here)
1986
41. B.V.Chirikov,
"Asymptotic methods in adiabatic problems",
Preprint INP 86-22, Novosibirsk 1986,
(in Russian (here) ;
BINP copy (here) )
42. G.Casati, B.V.Chirikov, I.Guarneri
and D.L.Shepelyansky,
"Dynamical stability of quantum "chaotics" motion in hydrogen atom",
Preprint INP 86-48, Novosibirsk 1986;
BINP copy (here)
43. G.Casati, B.V.Chirikov, I.Guarneri
and D.L.Shepelyansky,
"A new threshold for photoelectric effect in hydrogen atom",
Preprint INP 86-49, Novosibirsk 1986;
BINP copy (here)
44. B.V.Chirikov,
"Classical and quantum dynamical chaos in Hamiltonian systems",
Preprint INP 86-131, Novosibirsk 1986,
(report on VIII International Congress on Mathematical Physics,
Marseille, 1986,
in Russian (here) ;
BINP copy (here) )
45. F.M.Izrailev, B.V.Chirikov
and D.L.Shepelyansky,
"Quantum chaos: localization and ergodicity",
Preprint INP 86-166, Novosibirsk 1986;
BINP copy in Russian
(here)
46. B.V.Chirikov
and D.L.Shepelyansky,
"Border of chaos and statistical anomalies",
Preprint INP 86-174, Novosibirsk 1986;
BINP copy in Russian
(here)
47. B.V.Chirikov and V.V.Vecheslavov,
"Chaotic dynamics of comet Halley",
Preprint INP 86-184, Novosibirsk 1986, published in
Astron. Astrophys. 221: 146 (1989)
(here) ;
in Russian (here) ;
BINP copy (here)
1987
48. G.Casati, B.V.Chirikov, I.Guarneri
and D.L.Shepelyansky,
"Two-dymensional localization of diffusive excitation in
the hydrogen atom in a monochromatic field",
Preprint INP 87-30, Novosibirsk 1987;
BINP copy (here)
49. B.V.Chirikov,
"Dynamical mechanisms of noise",
Preprint INP 87-123, Novosibirsk 1987;
BINP copy (here)
1988
50. B.V.Chirikov and V.V.Vecheslavov,
"KAM integrability",
Preprint INP 88-110, Novosibirsk 1988,
published in "Analysis et Cetera", P.Rabinowitz and E.Zehnder (Eds.),
Academic Press, N.Y. 1990) p.219
(special Volume dedicated to 60th of J.Moser)
(here);
BINP copy (here)
1989
51. B.V.Chirikov and V.V.Vecheslavov,
"How fast is the Arnold diffusion ?",
Preprint INP 89-72, Novosibirsk 1989
(here),
(talk given at the International Workshop on Beam Dynamics,
Novosibirsk, 1989
(here);
BINP copy (here) )
1990
52. B.V.Chirikov,
"Linear chaos",
Preprint INP 90-116, Novosibirsk 1990;
BINP copy (here)
1991
53. B.V.Chirikov,
"Chaotic quantum systems",
Preprint Budker INP 91-83, Novosibirsk 1991,
lecture at the 10th Int. Congress on Math. Physics, Leipzig (1991)
(here)
54. B.V.Chirikov and V.V.Vecheslavov,
"The structure of a weakly nonlinear resonance",
Preprint BINP 91-92, Novosibirsk 1991;
BINP copy (here)
1992
55. B.V.Chirikov and V.V.Vecheslavov,
"Theory of the fast Arnold diffusion in many-frequency systems",
Preprint BINP 92-25, Novosibirsk 1992;
BINP copy (here)
1994
56. B.V.Chirikov and D.L.Shepelyansky,
"Shnirelman peak in the level spacing statistics",
Preprint BINP 94-26, Novosibirsk 1994;
BINP copy (here)
1995
57. G.Casati, B.V.Chirikov, I.Guarneri
and F.M.Izrailev,
"Quantum ergodicity and localization in generic conservative systems:
the Wigner band random matrix model",
Preprint BINP 95-98, Novosibirsk 1995;
BINP copy (here)
58. B.V.Chirikov,
"Pseudochaos in statistical physics",
Preprint BINP 95-99, Novosibirsk 1995;
BINP copy (here)
59. B.V.Chirikov,
"Linear and nonlinear dynamical chaos",
Preprint BINP 95-100, Novosibirsk 1995;
BINP copy (here)
1996
60. B.V.Chirikov,
"Anomalous diffusion in microtron and
the critical structure on the chaos border",
Preprint Budker INP 96-34, Novosibirsk 1996, published in
Zh. ETF 110: 1174 (1996)
(here) ;
BINP copy (here)
61. G.Casati and B.V.Chirikov,
"Fluctuations in quantum chaos",
Preprint BINP 96-43, Novosibirsk 1996;
BINP copy (here)
62. B.V.Chirikov and V.V.Vecheslavov,
"Arnold diffusion in large systems",
Preprint Budker INP 96-44, Novosibirsk 1996,
(here) ;
BINP copy (here)
63. B.V.Chirikov,
"Wigner model and real atoms: an example",
Preprint Budker INP 96-56, Novosibirsk 1996,
BINP copy (here)
64. B.V.Chirikov,
"Quasidegeneracy around a single nonlinear resonance",
Preprint Budker INP 96-57, Novosibirsk 1996,
(here) ;
BINP copy (here)
1998
65. B.V.Chirikov and V.V.Vecheslavov,
"Precise measurement of separatrix splitting in a nonlinear resonance"
Preprint Budker INP 98-3, Novosibirsk 1998 (in Russian)
(here) ;
BINP copy (here)
66. B.V.Chirikov and D.L.Shepelyansky,
"Asymptotic statistics of Poincare recurrences in Hamiltonian
systems with divided phase space",
Preprint Budker INP 98-63, Novosibirsk 1998,
BINP copy (here)
67. B.V.Chirikov,
"Critical perturbation in standard map:
a better approximation",
Preprint Budker INP 98-75, Novosibirsk 1998,
BINP copy (here)
1999
68. B.V.Chirikov,
"Poincare recurrences in microtron and the global critical structure",
Preprint Budker INP 99-7, Novosibirsk 1999,
(here) ;
BINP copy (here)
69. B.V.Chirikov and V.V.Vecheslavov,
"Adiabatic invariance and separatrix: single separatrix crossing",
Preprint Budker INP 99-52, Novosibirsk 1999,
BINP copy (here)
70. B.V.Chirikov and V.G.Davidovsky,
"Dynamics of a simple model for turbulence of the second sound in helium II",
Preprint Budker INP 99-70, Novosibirsk 1999,
BINP copy (here)
71. B.V.Chirikov and V.G.Davidovsky,
"The structure of chaotic attractor in a few-freedom dynamical system",
Preprint Budker INP 99-96, Novosibirsk 1999,
BINP copy (here)
2000
72. B.V.Chirikov and V.V.Vecheslavov,
"Multiple separatrix crossing: chaos structure"
Preprint Budker INP 2000-1, Novosibirsk 2000,
BINP copy (here)
73. B.V.Chirikov,
"Big entropy fluctuations in nonequilibrium steady state:
a simple model with Gauss heat bath"
Preprint Budker INP 2000-54, Novosibirsk 2000,
BINP copy (here)
74. B.V.Chirikov and V.V.Vecheslavov,
"Preservation mechanism of a nonlinear resonance separatrix
amid strong chaos"
Preprint Budker INP 2000-68, Novosibirsk 2000 (in Russian)
(here) ;
BINP copy (here)
2001
75. V.V.Vecheslavov and B.V.Chirikov,
"Diffusion in smooth Hamiltonian systems",
Preprint Budker INP 2001-59, Novosibirsk 2001 (in Russian),
BINP copy (here)
2002
76. B.V.Chirikov and V.V.Vecheslavov,
"Fractal diffusion in smooth dynamical systems
with virtual invariant curves",
Preprint Budker INP 2002-8, Novosibirsk 2002,
BINP copy (here)
BINP Reports 1995-2004 (in Russian)
1. B.V.Chirikov,
BINP Report 1995, Novosibirsk 1995,
(here)
2. B.V.Chirikov,
BINP Report 1996, Novosibirsk 1996,
(here)
3. B.V.Chirikov,
BINP Report 1997, Novosibirsk 1997,
(here)
4. B.V.Chirikov,
BINP Report 1998, Novosibirsk 1998,
(here)
5. B.V.Chirikov,
BINP Report 1999, Novosibirsk 1999,
(here)
6. B.V.Chirikov,
BINP Report 2000, Novosibirsk 2000,
(here)
7. B.V.Chirikov,
BINP Report 2001, Novosibirsk 2001,
(here)
8. B.V.Chirikov,
BINP Report 2002, Novosibirsk 2002,
(here)
9. B.V.Chirikov,
BINP Report 2003, Novosibirsk 2003,
(here)
10. B.V.Chirikov,
BINP Report 2004, pp.60-69 Novosibirsk 2004
(see also works in philosophy)
(here)