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The split of separatrix loop and birth of non-degenerate solutions with long period in the case of non-conservative perturbations of Hamiltonian systems - MaRDI portal

The split of separatrix loop and birth of non-degenerate solutions with long period in the case of non-conservative perturbations of Hamiltonian systems (Q5950741)

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scientific article; zbMATH DE number 1682353
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English
The split of separatrix loop and birth of non-degenerate solutions with long period in the case of non-conservative perturbations of Hamiltonian systems
scientific article; zbMATH DE number 1682353

    Statements

    The split of separatrix loop and birth of non-degenerate solutions with long period in the case of non-conservative perturbations of Hamiltonian systems (English)
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    13 December 2001
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    Using Poincaré's small parameter method, the author studies periodic solutions of analytically perturbed one-dimensional Hamiltonian systems. In particular, the author studies the birth of isolated periodic solutions from separatrices.
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    Poincaré's small parameter method
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    analytically perturbed one-dimensional Hamiltonian systems
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    birth of periodic solutions
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