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Heteroclinic and periodic cycles in a perturbed convection model - MaRDI portal

Heteroclinic and periodic cycles in a perturbed convection model (Q1614744)

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scientific article; zbMATH DE number 1797560
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Heteroclinic and periodic cycles in a perturbed convection model
scientific article; zbMATH DE number 1797560

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    Heteroclinic and periodic cycles in a perturbed convection model (English)
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    8 September 2002
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    The authors study a singular perturbation of a system investigated by \textit{J. Guckenheimer} and \textit{P. Holmes} [Math. Proc. Camb. Philos. Soc. 103, No. 1, 189-192 (1988; Zbl 0645.58022)]. They apply a new type of Melnikov function to prove the existence of singular heteroclinic solutions.
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    existence
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    singular heteroclinic solutions
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