Studies of chaotic dynamics

Although this is an old and conceptually straightforward idea, it has not been widely used (except in some recent studies of chaotic dynamics of autonomous systems, where no input variable exists) because several important practical issues must be addressed in its actual implementation, for example, the selection of the appropriate coordinate variables (embedding space) and the impracticality of representation in high-dimensional spaces. If a low-dimensional embedding space can be found for the system under study, this approach can be very powerful in yielding models of strongly nonlinear systems. Secondary practical issues are the choice of an effective test input and the accuracy of the obtained results in the presence of extraneous noise. 

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