Stochasticity and the disruption of quaiperiodic motion due to doubling in a system of coupled generators
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Couple Generator
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Literature Cited
- 1.Yu. I. Neimark, The Point Representation Method in Nonlinear Oscillation Theory [in Russian], Nauka (1972), Chap. 1, Sec. 4.Google Scholar
- 2.L. P. Shil'nikov, “Bifurcation theory and the Lorentz model,” Supplement II, in: J. E. Marsden and M. McCracken, The Hopf Bifurcation and Its Applications, Springer-Verlag (1976).Google Scholar
- 3.
- 4.P. Manneville and Y. Pomeau, Physica,1D, 219 (1980).Google Scholar
- 5.V. S. Anishchenko, et al., Izv. Vyssh. Uchebn. Zaved., Radiofiz.,26, No. 2, 169 (1983).Google Scholar
- 6.V. S. Anishchenko, V. V. Astakhov, and T. E. Letchford, Radiotekh. Elektron.,27, No. 10, 1072 (1982).Google Scholar
- 7.J. E. Marsden and M. McCracken, The Hopf Bifurcation and Its Applications, Springer-Verlag (1976).Google Scholar
- 8.V. I. Arnold, “Loss of stability near resonances,” in: Nonlinear Waves [Russian translation], Nauka, Moscow (1979), p. 116.Google Scholar
- 9.V. S. Anishchenko, Materials of the Third All-Union Conference “fluctuation Phenomena in Physical Systems,” Vilnius (1982), p. 24.Google Scholar
- 10.V. S. Anishchenko et al., Izv. Vyssh. Uchebn. Zaved., Radiofiz.,26, No. 7, 832 (1983).Google Scholar
- 11.J. L. Kaplan and J. A. Yorke, in: Strange Attractors [Russian translation], Mir, Moscow (1983), p. 193.Google Scholar
- 12.V. I. Oseledets, Tr. Mosk. Mat. Obshch.,19, 179 (1968).Google Scholar
- 13.Ya. B. Pesin, Usp. Mat. Nauk,32, No. 4, 55 (1977).Google Scholar
- 14.J. L. Kaplan and J. A. Yorke, in: Lect. Notes in Math., Springer-Verlag,730, 204 (1979).Google Scholar
- 15.H. Mori, Progr. Theor. Phys.,63, No. 3, 1044 (1980).Google Scholar
- 16.J. D. Farmer, Physica,4D, 336 (1982).Google Scholar
- 17.I. Schreiber and M. Marek, Physica,5D, 258 (1982).Google Scholar
- 18.V. N. Shtern, in: Structural Turbulence [in Russian], ITF SO AN SSSR, Novosibirsk (1982), p. 49.Google Scholar
- 19.V. N. Shtern, Dokl. Akad. Nauk SSSR,270, No. 3, 582 (1983).Google Scholar
- 20.F. M. Izrailev, M. I. Rabinovich, and A. D. Ugodnikov, Preprint Inst. Yad. Fiz. Sib. Otd. Akad. Nauk SSSR, No. 82-70, Novosibirsk (1982).Google Scholar
- 21.S. P. Kysnetsov, Pis'ma Zh. Tekh. Fiz.,9, No. 2, 94 (1983).Google Scholar
- 22.A. I. Khibnik, “Periodic solutions of systems of n differential equations. Fortran algorithms and programs,” No. 5 (1979), Pushchino, ONTI, Scientific Center of Biological Research.Google Scholar
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