Zobrazeno 1 - 10
of 27
pro vyhledávání: '"V. V. Vecheslavov"'
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36cf5bf636db4bc44f8b6fdccb928d85
https://doi.org/10.1134/s106378420606003x
https://doi.org/10.1134/s106378420606003x
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c0216ee33aa6d188ee8539df6d13026
https://doi.org/10.1134/1.1994960
https://doi.org/10.1134/1.1994960
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48827c66f6fd8a7256774978097c4797
https://doi.org/10.1134/1.1809695
https://doi.org/10.1134/1.1809695
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52704a1c26d215f07665ca9b0023c3fe
https://doi.org/10.1134/1.1758322
https://doi.org/10.1134/1.1758322
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.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3633411c9b58fb9ce9239fafdd057d2
https://doi.org/10.1134/1.1675904
https://doi.org/10.1134/1.1675904
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::43a4478ad1681fb7ef08a55fe329eb41
https://doi.org/10.1134/1.1611891
https://doi.org/10.1134/1.1611891
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26471cba6a44377c30a3828473f3089f
https://doi.org/10.1134/1.1513830
https://doi.org/10.1134/1.1513830
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd36b7ca05133ad9dc299abe19a38652
https://doi.org/10.1134/1.1451961
https://doi.org/10.1134/1.1451961
Autor:
O. V. Grigoryeva, V. V. Vecheslavov
Publikováno v:
Technical Physics. 46:1553-1557
A procedure for calculating the potential and field of multipole lenses in which the central part of the poles has the form of an ideal curve is presented. The procedure is based on the method of conformal mapping. The properties of these lenses are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2270b986cfbfa39c9a564df6844cc286
https://doi.org/10.1134/1.1427991
https://doi.org/10.1134/1.1427991
Autor:
B. V. Chirikov, V. V. Vecheslavov
Publikováno v:
Journal of Experimental and Theoretical Physics. 93:649-656
We propose a simple, approximate theory of the fairly general mechanism for the separatrix conservation of nonlinear resonance, which leads to the complete suppression of global diffusion despite the strong local chaos of motion. This theory allows t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62b0a61f9db642eb953b226030c897e2
https://doi.org/10.1134/1.1410611
https://doi.org/10.1134/1.1410611