Approximating the mapping between systems exhibiting generalized synchronization

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Four pages, one eps figure, and one table, RevTex, submitted for publication This manuscript has been changed to make it easie

Scientific paper

10.1103/PhysRevLett.81.4835

We present methods for approximating the mapping that defines the invariant
manifold for two systems exhibiting generalized synchronization. If the
equations of motion are known then an analytic approximation to the mapping can
be found. If time series data is used then a numerical approximation can be
found.

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