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pro vyhledávání: '"V. V. Vecheslavov"'
Autor:
V. V. Vecheslavov
Publikováno v:
Journal of Experimental and Theoretical Physics Letters. 63:1047-1053
A new effect [V. V. Vecheslavov, Zh. Eksp. Teor. Fiz. 109, 2208 (1996) (JETP 82, 1190 (1996)]—the appearance of low-frequency secondary harmonics in the separatrix mapping of a system—is discussed in detail for the example of a pendulum with a tw
Autor:
V. V. Vecheslavov
Publikováno v:
Technical Physics. 51:690-699
Twenty years ago Bullett [1] published an article [1] where he found the invariant curves of standard mapping, having replaced the sinusoidal force by its smooth analog, a piecewise linear saw. His studies discovered an unexpected effect: at certain
Autor:
Vecheslavov, V. V.
Publikováno v:
JETP Letters. 6/25/96, Vol. 63 Issue 12, p1047. 7p.
Autor:
V. V. Vecheslavov
Publikováno v:
Technical Physics. 50:821-827
The special role of low-frequency secondary harmonics with frequencies that are sums of and differences between primary frequencies entering into the Hamiltonian in explicit form has been already discussed in the literature. These harmonics are of th
Autor:
V. V. Vecheslavov
Publikováno v:
Journal of Experimental and Theoretical Physics. 99:663-668
An analysis of the stochastic layer in a pendulum driven by an asymmetric high-frequency perturbation of fairly general form is continued. Analytical expressions are found for the amplitudes of secondary harmonics, and their contributions to the ampl
Autor:
V. V. Vecheslavov
Publikováno v:
Technical Physics. 49:521-525
The amplitude of the separatrix map and the size of a pendulum chaotic layer are studied numerically and analytically as functions of the adiabaticity parameter at low and medium perturbation frequencies. Good agreement between the theory and numeric
Autor:
V. V. Vecheslavov
Publikováno v:
Journal of Experimental and Theoretical Physics. 98:352-358
An analysis of the stochastic layer in a driven pendulum is extended to the case when the separatrix map contains both single-and double-frequency harmonics. Resonance invariants of the first three orders are found for the double-frequency harmonic.
Autor:
V. V. Vecheslavov
Publikováno v:
Technical Physics. 48:1079-1089
This work elaborates upon previous studies on the family of smooth continuous and discontinuous two-parameter Hamiltonian systems with a piecewise linear force. For such systems, the Melnikov-Arnold integral is found to be a power and oscillatory fun
Autor:
V. V. Vecheslavov, B. V. Chirikov
Publikováno v:
Journal of Experimental and Theoretical Physics. 95:560-571
Preliminary results of extensive numerical experiments on a simple model specified by the smooth canonical strongly chaotic 2D-map with global virtual invariant curves (VICs) are presented and discussed. We focus on the statistics of the diffusion ra
Autor:
V. V. Vecheslavov
Publikováno v:
Technical Physics. 47:160-167
Conditions whereby the chaotic layer of a nonlinear resonance is described in terms of low-frequency separatrix mapping are discussed. In this case, the accurate estimation of the size of the layer requires the arrangement of resonances at its edge t