Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300189224> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W4300189224 abstract "If we allow non-smooth or discontinuous functions in definition of an evolution operator for dynamical systems, then situations of quasi-hyperbolic chaotic dynamics often occur like, for example, on attractors in model Lozi map and in Belykh map. The present article deals with the quasihyperbolic attractor of Belykh in a map describing a rotator with dissipation driven by periodic kicks, the intensity of which depends on the instantaneous angular coordinate of the rotator as a sawtooth-like function, and also the transformation of the attractor under smoothing of that function is considered. Reduction of the equations to the standard form of the Belykh map is provided. Results of computations illustrating the dynamics of the system with continuous time on the Belykh attractor are presented. Also, results for the model with the smoothed sawtooth function are considered depending on the parameter characterizing the smoothing scale. On graphs of Lyapunov exponents versus a parameter, the smoothing of the sawtooth implies appearance of periodicity windows, which indicates violation of the quasi-hyperbolic nature of the attractor. Charts of dynamic regimes on the parameter plane of the system are also plotted, where regions of periodic motions (Arnold's tongues) are present, which decrease in size with the decrease in the characteristic scale of the smoothing, and disappear in the limit case of the sawtooth function with a break. Since the Belykh attractor was originally introduced in the radiophysical context (phase-locked loops), the analysis undertaken here is of interest from the point of view of possible exploiting the chaotic dynamics on this attractor in electronic devices." @default.
- W4300189224 created "2022-10-03" @default.
- W4300189224 creator A5032924546 @default.
- W4300189224 date "2017-10-21" @default.
- W4300189224 modified "2023-09-27" @default.
- W4300189224 title "Belykh attractor in Zaslavsky map and its transformation under smoothing" @default.
- W4300189224 doi "https://doi.org/10.48550/arxiv.1710.07828" @default.
- W4300189224 hasPublicationYear "2017" @default.
- W4300189224 type Work @default.
- W4300189224 citedByCount "0" @default.
- W4300189224 crossrefType "posted-content" @default.
- W4300189224 hasAuthorship W4300189224A5032924546 @default.
- W4300189224 hasBestOaLocation W43001892241 @default.
- W4300189224 hasConcept C105795698 @default.
- W4300189224 hasConcept C121332964 @default.
- W4300189224 hasConcept C121864883 @default.
- W4300189224 hasConcept C134306372 @default.
- W4300189224 hasConcept C148837635 @default.
- W4300189224 hasConcept C151730666 @default.
- W4300189224 hasConcept C154945302 @default.
- W4300189224 hasConcept C157626765 @default.
- W4300189224 hasConcept C158622935 @default.
- W4300189224 hasConcept C164380108 @default.
- W4300189224 hasConcept C191544260 @default.
- W4300189224 hasConcept C2524010 @default.
- W4300189224 hasConcept C2777052490 @default.
- W4300189224 hasConcept C2779343474 @default.
- W4300189224 hasConcept C31972630 @default.
- W4300189224 hasConcept C33923547 @default.
- W4300189224 hasConcept C3770464 @default.
- W4300189224 hasConcept C41008148 @default.
- W4300189224 hasConcept C62520636 @default.
- W4300189224 hasConcept C86803240 @default.
- W4300189224 hasConcept C99844830 @default.
- W4300189224 hasConceptScore W4300189224C105795698 @default.
- W4300189224 hasConceptScore W4300189224C121332964 @default.
- W4300189224 hasConceptScore W4300189224C121864883 @default.
- W4300189224 hasConceptScore W4300189224C134306372 @default.
- W4300189224 hasConceptScore W4300189224C148837635 @default.
- W4300189224 hasConceptScore W4300189224C151730666 @default.
- W4300189224 hasConceptScore W4300189224C154945302 @default.
- W4300189224 hasConceptScore W4300189224C157626765 @default.
- W4300189224 hasConceptScore W4300189224C158622935 @default.
- W4300189224 hasConceptScore W4300189224C164380108 @default.
- W4300189224 hasConceptScore W4300189224C191544260 @default.
- W4300189224 hasConceptScore W4300189224C2524010 @default.
- W4300189224 hasConceptScore W4300189224C2777052490 @default.
- W4300189224 hasConceptScore W4300189224C2779343474 @default.
- W4300189224 hasConceptScore W4300189224C31972630 @default.
- W4300189224 hasConceptScore W4300189224C33923547 @default.
- W4300189224 hasConceptScore W4300189224C3770464 @default.
- W4300189224 hasConceptScore W4300189224C41008148 @default.
- W4300189224 hasConceptScore W4300189224C62520636 @default.
- W4300189224 hasConceptScore W4300189224C86803240 @default.
- W4300189224 hasConceptScore W4300189224C99844830 @default.
- W4300189224 hasLocation W43001892241 @default.
- W4300189224 hasLocation W43001892242 @default.
- W4300189224 hasOpenAccess W4300189224 @default.
- W4300189224 hasPrimaryLocation W43001892241 @default.
- W4300189224 hasRelatedWork W2017199792 @default.
- W4300189224 hasRelatedWork W2021770854 @default.
- W4300189224 hasRelatedWork W2040903058 @default.
- W4300189224 hasRelatedWork W2050003505 @default.
- W4300189224 hasRelatedWork W2064479472 @default.
- W4300189224 hasRelatedWork W2066806166 @default.
- W4300189224 hasRelatedWork W2161918025 @default.
- W4300189224 hasRelatedWork W2766659369 @default.
- W4300189224 hasRelatedWork W3014531371 @default.
- W4300189224 hasRelatedWork W3028150025 @default.
- W4300189224 isParatext "false" @default.
- W4300189224 isRetracted "false" @default.
- W4300189224 workType "article" @default.