A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems.

DOI10.1016/0960-0779(95)90873-QzbMath1080.65542OpenAlexW2028047871MaRDI QIDQ812242

Dirk Roose, Alastair Spence, Alan R. Champneys, Kurt Lust

Publication date: 16 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(95)90873-q

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (9)

Systematic search of symmetric periodic orbits in 2DOF Hamiltonian systems ⋮ Vortex pairing in jets as a global Floquet instability: modal and transient dynamics ⋮ A large parallel block predictor-corrector method for initial value problems ⋮ Computation, Continuation and Bifurcation Analysis of Periodic Solutions of Delay Differential Equations ⋮ A computer-assisted study of pulse dynamics in anisotropic media ⋮ Bifurcation Analysis of Periodic Solutions of Neural Functional Differential Equations: A Case Study ⋮ An averaging scheme for the efficient approximation of time-periodic flow problems ⋮ Systematic computer assisted proofs of periodic orbits of Hamiltonian systems ⋮ A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems.

Uses Software

• AUTO
• AUTO-86
• LOCBIF

Cites Work

• A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems.
• DERPER - An algorithm for the continuation of periodic solutions in ordinary differential equations
• Solving large nonlinear systems of equations by an adaptive condensation process
• Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps
• Stabilization of Unstable Procedures: The Recursive Projection Method
• Simultaneous Iteration for Partial Eigensolution of Real Matrices
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