Abstract

The importance of the coupling operatorA of an external disturbance to a 1-dimensional map is discussed. A time dependent susceptibility χtBA is introduced describing the linear response in chaotic states observed with observableB. Its properties are given, its temporal decay, and its relation to correlations (fluctuations). Some examples are evaluated explicitely. The static susceptibility depends on the correlation decay as usual, and diverges if the state changes its character under the perturbation.

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