Computation of quasi-periodic solutions of forced dissipative systems II

DOI10.1016/0021-9991(86)90042-2zbMath0607.65048OpenAlexW2064041626MaRDI QIDQ1085576

Christian Kaas-Petersen

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90042-2

zbMATH Keywords

numerical examplesPoincaré mapcontinued fraction expansioniterated mapsbi-periodic solutionsbi-periodically forced dissipative systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (5)

Construction of quasi-periodic response solutions in forced strongly dissipative systems ⋮ Computing Arnol'd tongue scenarios ⋮ A NEWTON METHOD FOR LOCATING INVARIANT TORI OF MAPS ⋮ Two-periodical and quasi-periodical wave solutions of the Kuramoto- Sivashinsky equation and their stability and bifurcations ⋮ Doubly periodic and quasiperiodic wave regimes in a liquid film flowing down an inclined plane, their stability and bifurcations

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Computation of quasi-periodic solutions of forced dissipative systems
• Regular and stochastic motion
• Algorithms for computing almost periodic steady-state response of nonlinear systems to multiple input frequencies
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