Nonreversible homoclinic snaking

DOI10.1080/14689367.2011.592488zbMath1228.37024arXiv1011.6546OpenAlexW2053110232MaRDI QIDQ3094811

Jürgen Knobloch, Martin Vielitz, Thorsten Riess

Publication date: 27 October 2011

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.6546

zbMATH Keywords

global bifurcationheteroclinic cyclehomoclinic snaking

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) 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)

Related Items (6)

Non-conservative perturbations of homoclinic snaking scenarios ⋮ Isolas of 2-pulse solutions in homoclinic snaking scenarios ⋮ Snakes and isolas in non-reversible conservative systems ⋮ Isolas versus snaking of localized rolls ⋮ Dissecting the snake: transition from localized patterns to spike solutions ⋮ Bistability, wave pinning and localisation in natural reaction-diffusion systems

Cites Work

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• When Shil'nikov Meets Hopf in Excitable Systems
• Snaking of Multiple Homoclinic Orbits in Reversible Systems
• Lin's method for heteroclinic chains involving periodic orbits

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