Computing Periodic Orbits and their Bifurcations with Automatic Differentiation

DOI10.1137/S1064827599359278zbMath0976.65111OpenAlexW2008000547MaRDI QIDQ4509866

Brian Meloon, John Guckenheimer

Publication date: 19 October 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827599359278

zbMATH Keywords

algorithmsconvergencesaddle-node bifurcationautomatic differentiationperiodic orbitnumerical comparisonsRunge-Kutta approximations

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Computational methods for bifurcation problems in dynamical systems (37M20)

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Uses Software

• ADOL-C