Literature Cited
B. Huberman and J. Grutchfield, Phys. Rev. Lett.,43, No. 23, 1743 (1979).
F. M. Izrailev, M. I. Rabinovich, and A. D. Ugodnikov, Phys. Lett.,68A, No. 6–7, 321 (1981).
S. Novak and R. Frehlich, Phys. Rev..,26A, No. 6, 3660 (1982).
V. V. Astakhov et al., Radiotekh. Elektron.,32, No. 12 2558 (1987).
G. Lie and J. Yuan, J. Chem. Phys.,84, No. 10, 5486 (1986).
I. I. Matorin, A. S. Pikovskii, and Ya. I. Khanin, Kvantovaya élektronika,11, No. 10, 2096 (1984).
A. M. Samson and S. I. Turovets, Preprint Inst. Fiz. Akad. Nauk Beloruss. SSR, No. 438, Minsk (1986).
N. Takimoto and H. Yamashida, Physica,D26, No. 1–3, 251 (1987).
J. Elding, D. Forster, and S. Sarkar, Phys. Lett.,A94, No. 5, 195 (1983).
R. Raty, J. Von Boehm, and H. Isomahi, Phys. Rev.,A34, No. 5, 4310 (1986).
D. D'Humieres, M. Beasley, B. Huberman, and A. Libchaber, Phys. Rev.,26A, No. 6, 3483 (1982).
A. M. Samson and S. I. Turovets, Dokl. Akad. Nauk BSSR,31, No. 10, 888 (1987).
M. I. Rabinovich, Usp. Fiz. Nauk,126 No. 1, 123, (1979).
J. Eckmann, Rev. Mod. Phys.,53, No. 4, 643 (1981).
V. V. Migulin et al., Foundations of Oscillation Theory [in Russian], Nauka, Moscow (1978).
C. Hayashi, Nonlinear Oscillations in Physical Systems, McGraw-Hill, New York (1964).
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover, New York (1965).
N. N. Kalitkin, Numerical Methods [in Russian], Nauka, Moscow (1978).
Additional information
Institute of Physics, Academy of Sciences of the Belorussian SSR. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 33, No. 1, pp. 49–60, January, 1990.
Rights and permissions
About this article
Cite this article
Samson, A.M., Logvin, Y.A. & Turovets, S.I. The role of potential symmetry and shape of a nonlinear oscillator in the bifurcation hierarchy for harmonic action. Radiophys Quantum Electron 33, 40–50 (1990). https://doi.org/10.1007/BF01037817
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01037817