Application of the characteristic bisection method for locating and computing periodic orbits in molecular systems

DOI10.1016/S0010-4655(01)00190-4zbMath0984.65136OpenAlexW2160915410MaRDI QIDQ5944595

Michael N. Vrahatis, K. E. Papadakis, Vassilis S. Kalantonis, E. A. Perdios, Stavros C. Farantos, R. Prosmiti, Angela E. Perdiou

Publication date: 14 May 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(01)00190-4

zbMATH Keywords

periodic orbitsdynamical systemstopological degree theoryPoincaré mapcharacteristic bisection methodmolecular systemsNewton multiple shooting algorithmroots of nonlinear algebraic and/or transcendental equations

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Periodic orbits of vector fields and flows (37C27) Simulation of dynamical systems (37M05) Molecular physics (81V55) Numerical nonlinear stabilities in dynamical systems (65P40)

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Uses Software

• POMULT

Cites Work

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