Preservation of bifurcations of Hamiltonian boundary value problems under discretisation
DOI10.1007/s10208-020-09454-zzbMath1455.65114arXiv1804.07468OpenAlexW3104907055MaRDI QIDQ827002
Christian Offen, Robert I. Mclachlan
Publication date: 6 January 2021
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.07468
bifurcationsgeometric integrationcatastrophe theorysingularity theorygeodesic bifurcationsHamiltonian boundary value problemsperiodic pitchfork
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical bifurcation problems (65P30) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
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