Approximating the mapping between systems exhibiting generalized synchronization

Abstract

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.

Four pages, one eps figure, and one table, RevTex, submitted for publication This manuscript has been changed to make it easier to understand. It also contains new results

References in corpus (1)

• Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds

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