A convergence-improving iterative method for computing periodic orbits near bifurcation points

DOI10.1016/0021-9991(90)90239-WzbMath0704.65056OpenAlexW2145839439MaRDI QIDQ917231

Michael N. Vrahatis, Tassos C. Bountis

Publication date: 1990

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90239-w

zbMATH Keywords

periodic orbitsiterative methodbifurcationsFourier series expansionsconservative nonlinear Mathieu equationmethod of ``root-searchingMR52{\#}9741

Mathematics Subject Classification ID

Numerical investigation of stability of solutions to ordinary differential equations (65L07) Dynamical systems and ergodic theory (37-XX)

Related Items (1)

Nonlinear Kaczmarz algorithms and their convergence

Cites Work

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• Universal behaviour in families of area-preserving maps
• Period doubling bifurcations and universality in conservative systems
• The universal metric properties of nonlinear transformations
• A rapid generalized method of bisection for solving systems of non-linear equations
• The transition to aperiodic behavior in turbulent systems
• Regular and stochastic motion
• Algorithm 666: Chabis: a mathematical software package for locating and evaluating roots of systems of nonlinear equations
• Bifurcations in systems of three degrees of freedom
• The implicit function theorem for solving systems of nonlinear equations in

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