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Non-Standard Map Robot Path Planning Approach Based on Ant Colony Algorithms [PDF]
Sensors, 2023 Robot path planning is an important component of ensuring the robots complete work tasks effectively. Nowadays, most maps used for robot path planning obtain relevant coordinate information through sensor measurement, establish a map model based on ...
Feng Li, Young-Chul Kim, Boyin Xu
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A generalization of the standard map and its statistical characterization [PDF]
Scientific Reports, 2022 From the statistical mechanical point of view, area-preserving maps have great potential and importance. These maps exhibit chaotic and regular behavior separately or together in the available phase space as the control parameter changes.
Kivanc Cetin +2 more
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Standard twist and non-twist maps [PDF]
Revista Brasileira de Ensino de Física, 2023 Symplectic maps can provide a straightforward and accurate way to visualize and quantify the dynamics of conservative systems with two degrees of freedom.
Felipe G. Souza +2 more
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On the Definition of Standard Parallels in Map Projections
ISPRS International Journal of Geo-Information, 2023 The article belongs to the field of theoretical research on map projections. It is observed that there is no unique and generally accepted definition of standard parallels in the cartographic literature.
Miljenko Lapaine
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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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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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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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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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STUDYING THE PROPERTIES OF PIXELS PERMUTATIONS BASED ON DISCRETIZED STANDARD MAP
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2020 In this article, we described specifics of pixels permutations based on the discretized, two-dimensional Chirikov standard map. Some properties of the discretized Chirikov map can be used by an attacker to recover the original images that are studied ...
Serhii Haliuk +2 more
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