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In this Letter, a new local linear prediction model is proposed to predict a chaotic time series of a component x(t) by using the chaotic time series of another component y(t) in the same system with x(t). Our approach is based on the phase space reconstruction coming from the Takens embedding theorem. To illustrate our results, we present an example of Lorenz system and compare with the performance...
We have developed the geometric phase of the Heisenberg bipartite system and obtained the phases of both XX and general XYZ one-site magnetic model. The counteraction effect and coupling-independent phenomenon are detected theoretically. We also discuss the influence of the coupling on geometric phase in detail.
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