Persistence of the heteroclinic loop under periodic perturbation

Persistence of the heteroclinic loop under periodic perturbation

We consider an autonomous ordinary differential equation that admits a heteroclinic loop. The unperturbed heteroclinic loop consists of two degenerate heteroclinic orbits $ \gamma_1 $ and $ \gamma_2 $. We assume the variational equation along the degenerate heteroclinic orbit $ \gamma_i $ has $ {d_i...

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Bibliographic Details
Main Authors: Bin Long, Shanshan Xu
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:Electronic Research Archive
Subjects:
heteroclinic orbit
heteroclinic loop
bifurcation
lyapunov-schmidt reduction
exponential dichotomies
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2023054?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/era.2023054?viewType=HTML

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