A case of the generation of a periodic motion with homoclinic curves

Author:

Belyakov L. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference18 articles.

1. V. M. Alekseev, ?Quasirandom dynamical systems. I, II, III,? Matem. Sb.,76 (118), No. 1, 72?134, (1968);77 (119), No. 4, 545?600 (1968);78 (120), No. 1, 3?50 (1969).

2. B. V. Chirikov, Studies on the Theory of Nonlinear Resonance and Stochasticity [in Russian], Doctoral Dissertation, Novosibirsk (1969).

3. G. M. Zaslavskii and B. V. Chirikov, ?Stochastic instability of nonlinear oscillations,? Usp. Fiz. Nauk,105, No. 1, 3 (1971).

4. L. D. Pustyl'nikov, ?Concerning the stability of half-trajectories under an area-preserving mapping of the plane,? Dokl. Akad. Nauk SSSR,202, No. 1, 39?41 (1971); ?Existence of a set of positive measure of oscillating motions in a problem of dynamics,? Dokl. Akad. Nauk SSSR,202, No. 2, 287?300 (1971).

5. S. Smale, ?Diffeomorphisms with many periodic points,? in: Differential and Combinatorial Topology, Princeton (1965).

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