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Isochronous and period doubling bifurcations of periodic solutions of non-integrable Hamiltonian systems with reflexion symmetries - MaRDI portal

Isochronous and period doubling bifurcations of periodic solutions of non-integrable Hamiltonian systems with reflexion symmetries (Q1111212)

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scientific article; zbMATH DE number 4076112
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English
Isochronous and period doubling bifurcations of periodic solutions of non-integrable Hamiltonian systems with reflexion symmetries
scientific article; zbMATH DE number 4076112

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    Isochronous and period doubling bifurcations of periodic solutions of non-integrable Hamiltonian systems with reflexion symmetries (English)
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    1988
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    In this paper the authors study via a Poincaré map approach the possible isosynchronous and period-doubling bifurcations of periodic solutions in two degrees of freedom, non-integrable Hamiltonian systems with both reflection and time-reversal symmetries. Numerical evidence is given for the types of bifurcations which can occur.
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    period doubling
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    Hamiltonian systems
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    reflection and time-reversal symmetries
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    bifurcations
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