Results 11 to 20 of about 925,902 (264)
Physics Letters A, 2009 Properties of the phase space of the standard map with memory are investigated. This map was obtained from a kicked fractional differential equation. Depending on the value of the parameter of the map and the fractional order of the derivative in the original differential equation this nonlinear dynamical system demonstrates attractors (fixed points ...
Edelman, Mark, Tarasov, Vasily E.
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Incommensurate standard map [PDF]
Physical Review E, 2019 We introduce and study the extension of the Chirikov standard map when the kick potential has two and three incommensurate spatial harmonics. This system is called the incommensurate standard map. At small kick amplitudes the dynamics is bounded by the isolating Kolmogorov-Arnold-Moser surfaces while above a certain kick strength it becomes unbounded ...
Ermann, Leonardo, Shepelyansky, Dima L.
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Superdiffusion in the dissipative standard map [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2008 We consider transport properties of the chaotic (strange) attractor along unfolded trajectories of the dissipative standard map. It is shown that the diffusion process is normal except for the cases when a control parameter is close to some special values that correspond to the ballistic mode dynamics. Diffusion near the related crises is anomalous and
Zaslavsky, G. M., Edelman, M.
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Diffusion for ensembles of standard maps [PDF]
Physical Review E, 2015 Two types of random evolution processes are studied for ensembles of the standard map with driving parameter $K$ that determines its degree of stochasticity. For one type of processes the parameter $K$ is chosen at random from a Gaussian distribution and is then kept fixed, while for the other type it varies from step to step.
Alus, Or, Fishman, Shmuel
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Fractional dissipative standard map [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2010 Using kicked differential equations of motion with derivatives of noninteger orders, we obtain generalizations of the dissipative standard map. The main property of these generalized maps, which are called fractional maps, is long-term memory. The memory effect in the fractional maps means that their present state of evolution depends on all past ...
Tarasov, Vasily E., Edelman, M.
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Proof of the Transversality for the Standard Map [PDF]
Forma, 2021 Summary: We consider the standard map. The stable and unstable manifolds of the saddle fixed point are proved to intersect transversely at the primary homoclinic point \(u\) for any parameter value. For the proof, we use the particular objects called the dominant axis (DA) and subdominant axis (SD), and symmetric periodic orbits that have orbital ...
Yamaguchi, Yoshihiro, Tanikawa, Kiyotaka
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Map Uncertainty Perception and Topological Relationship Reasoning Integrating Standard Map Priors [PDF]
Jisuanji gongchengAutonomous driving scene understanding is one of the critical components of autonomous driving technology. Map perception and topological relationship inference are essential parts of scene understanding.
ZHANG Xiang, PENG Li
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Scientific Reports, 2021 Quantitative PCR (qPCR) has become a frequently employed direct method for the detection and quantification of Mycobacterium avium subsp. paratuberculosis (MAP).
Monika Beinhauerova +9 more
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Matching Standard and Secant Parallels in Cylindrical Projections
ISPRS International Journal of Geo-Information, 2023 Map projections are usually interpreted by mapping a sphere onto an auxiliary surface, and then the surface is developed into a plane. It is taken as a fact without proof that the parallels in which the auxiliary surface intersects the sphere are mapped ...
Miljenko Lapaine
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Analysis of Low Probability of Detection Capability for Chaotic Standard Map-Based FH-OFDMA System
Applied Sciences, 2021 A frequency hopping orthogonal frequency division multiple access (FH-OFDMA) can provide low probability of detection (LPD) and anti-jamming capabilities to users against adversary detectors. To obtain an extreme LPD capability that cannot be provided by
Junwoo Jung +4 more
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