Breakdown of heteroclinic connections in the analytic Hopf-Zero singularity: Rigorous computation of the Stokes constant

DOI10.1007/S00332-022-09882-XzbMath1510.37079arXiv2206.13840MaRDI QIDQ6403365

Maciej J. Capiński, Teresa M. Seara, Inmaculada Baldomá, Marcel Guardia

Publication date: 28 June 2022

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Invariant manifold theory for dynamical systems (37D10) Algorithms with automatic result verification (65G20) Computational methods for bifurcation problems in dynamical systems (37M20) Stability theory for smooth dynamical systems (37C75) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Computational methods for invariant manifolds of dynamical systems (37M21)

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