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Titlebook: Control and Chaos; Kevin Judd,Alistair Mees,Thomas L. Vincent Conference proceedings 1997 Birkhäuser Boston 1997 Nonlinear system.bifurcat

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Verständlichkeit von Sachtextenes a large set of periodic and other interesting orbits ‘from infinity’, occurs for each positive integer value of a parameter. Another sequence of bifurcations destroys these orbits as the parameter increases; topological constraints allow us to understand this sequence of bifurcations in considera
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https://doi.org/10.1007/978-3-658-12283-6rbations. Control may be switched between different saddle periodic orbits, but it is necessary to wait for the trajectory to enter a small neighborhood of the saddle point before the control algorithm can be applied..This paper describes an extension of the control idea, called “targeting.” By targ
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https://doi.org/10.1007/978-3-658-12283-6er poorly known or dependent on a slowly changing environment. If the parameters vary in a broad range, it is common to employ adaptation: a parameter estimator—.— continuously acquires knowledge about the plant and uses it to tune the controller “on-line”.
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https://doi.org/10.1007/978-3-658-12283-6we develop algorithms that will target and stabilize such maps in the presence of a small amount of noise. In particular, we show how to create and stabilize new periodic orbits which are close to existing non-periodic trajectories.
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https://doi.org/10.1007/978-3-658-12382-6 objective despite (significant) changes in the environment: the system adapts to its environment. This contribution aims to introduce in a partly tutorial manner some of the theory associated with adaptive systems, with a particular emphasis on the dynamics of adaptation. It does so in the context
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