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Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method - MaRDI portal

Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method (Q987275)

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scientific article; zbMATH DE number 5770131
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English
Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method
scientific article; zbMATH DE number 5770131

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    Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method (English)
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    13 August 2010
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    A strongly cubic nonlinear oscillator is studied. Homoclinic and heteroclinic solutions of such an oscillator are found by menas of the hyperbolic Lindstedt-Poincaré method. Several numerical simulations illustrate the theoretical results obtained in the paper.
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    homoclinic orbit
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    heteroclinic orbit
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    nonlinear autonomous oscillator
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    Lindstedt-Poincaré method
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