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  • Title: Reducing or enhancing chaos using periodic orbits.
    Author: Bachelard R, Chandre C, Leoncini X.
    Journal: Chaos; 2006 Jun; 16(2):023104. PubMed ID: 16822007.
    Abstract:
    A method to reduce or enhance chaos in Hamiltonian flows with two degrees of freedom is discussed. This method is based on finding a suitable perturbation of the system such that the stability of a set of periodic orbits changes (local bifurcations). Depending on the values of the residues, reflecting their linear stability properties, a set of invariant tori is destroyed or created in the neighborhood of the chosen periodic orbits. An application on a paradigmatic system, a forced pendulum, illustrates the method.
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