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Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method - MaRDI portal

Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method (Q1591458)

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scientific article; zbMATH DE number 1546955
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English
Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method
scientific article; zbMATH DE number 1546955

    Statements

    Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method (English)
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    3 September 2001
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    Melnikov function
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    criterion for homoclinic bifurcation
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    homoclinic orbits
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    strongly nonlinear self-excited one-degree-of-freedom oscillator
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    Lindstedt-Poincaré perturbation method
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    Jacobian elliptic functions
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    limit cycles
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    bifurcating limit cycle
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