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Type: yago:WikicatScalingSymmetriesyago:WikicatStatisticalChartsAndDiagramsyago:Abstraction100002137yago:Attribute100024264yago:Chart106999802yago:Communication100033020yago:DynamicalSystem106246361yago:PhaseSpace100029114yago:Property104916342yago:Space100028651yago:SpatialProperty105062748yago:Symmetry105064827yago:VisualCommunication106873252yago:WikicatDynamicalSystems New Facet based on Instances of this Class

A Poincaré plot, named after Henri Poincaré, is a type of recurrence plot used to quantify self-similarity in processes, usually periodic functions. It is also known as a return map. Poincaré plots can be used to distinguish chaos from randomness by embedding a data set in a higher-dimensional state space. Given a time series of the form a return map in its simplest form first plots (xt, xt+1), then plots (xt+1, xt+2), then (xt+2, xt+3), and so on.