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dc.contributor.authorEdelman, Mark
dc.date.accessioned2018-06-21T20:19:31Z
dc.date.available2018-06-21T20:19:31Z
dc.date.issued2013-09
dc.identifier.citationEdelman, Mark. (2013) Universal fractional map and cascade of bifurcations type attractors. Chaos 23.en_US
dc.identifier.issn1089-7682
dc.identifier.urihttps://doi.org/10.1063/1.4819165en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12202/50
dc.description.abstractWe modified the way in which the Universal Map is obtained in the regular dynamics to derive the Universal α-Family of Maps depending on a single parameter α>0, which is the order of the fractional derivative in the nonlinear fractional differential equation describing a system experiencing periodic kicks. We consider two particular α-families corresponding to the Standard and Logistic Maps. For fractional α<2 in the area of parameter values of the transition through the period doubling cascade of bifurcations from regular to chaotic motion in regular dynamics corresponding fractional systems demonstrate a new type of attractors—cascade of bifurcations type trajectories.en_US
dc.language.isoen_USen_US
dc.publisherChaos: An Interdisciplinary Journal of Nonlinear Scienceen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectchaotic dynamicsen_US
dc.subjectattractorsen_US
dc.subjectbifurcationsen_US
dc.subjectintegral equationsen_US
dc.subjectIntegrodifferential equationsen_US
dc.subjectnanomaterial propertiesen_US
dc.subjectanatomyen_US
dc.subjecthuman memoryen_US
dc.subjectchaosen_US
dc.subjectnonlinear dynamicsen_US
dc.titleUniversal fractional map and cascade of bifurcations type attractorsen_US
dc.typeArticleen_US


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Attribution-NonCommercial-NoDerivs 3.0 United States
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States