Unfolding globally resonant homoclinic tangencies

DOI10.3934/DCDS.2022043zbMath1504.37062arXiv2108.07476OpenAlexW3195748036MaRDI QIDQ2155725

David J. W. Simpson, Sishu Shankar Muni, Robert I. Mclachlan

Publication date: 15 July 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.07476

zbMATH Keywords

periodic solutionshomoclinic tangencymultistabilityasymptotically stablesmooth maps

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Stability theory for smooth dynamical systems (37C75) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

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