ON THE MULTIPLE SHOOTING CONTINUATION OF PERIODIC ORBITS BY NEWTON–KRYLOV METHODS

DOI10.1142/S0218127410025399zbMath1183.34056OpenAlexW2020031325MaRDI QIDQ5306414

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Publication date: 9 April 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127410025399

zbMATH Keywords

periodic orbitsPoincaré mapsparallelismvariational equationsKrylov methodscontinuation methodsmultiple shootingKrylov-Schur methodperiodic Schur decomposition

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical problems in dynamical systems (65P99) Preconditioners for iterative methods (65F08)

Related Items

Variational methods for finding periodic orbits in the incompressible Navier–Stokes equations, Topological classification of periodic orbits in the generalized Lorenz-type system with diverse symbolic dynamics, A parallel algorithm for the computation of invariant tori in large-scale dissipative systems, Adjoint sensitivity analysis of chaotic dynamical systems with non-intrusive least squares shadowing, Multiple shooting shadowing for sensitivity analysis of chaotic dynamical systems, Vortex pairing in jets as a global Floquet instability: modal and transient dynamics, Numerical bifurcation theory for high-dimensional neural models, Periodic shadowing sensitivity analysis of chaotic systems, A preconditioned multiple shooting shadowing algorithm for the sensitivity analysis of chaotic systems, Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications, From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers, Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems, Flow control design inspired by linear stability analysis, Vertically localised equilibrium solutions in large-eddy simulations of homogeneous shear flow, Continuation of Bifurcations of Periodic Orbits for Large-Scale Systems

Uses Software

• MATCONT
• AUTO
• eigs
• ARPACK
• AUTO-86
• PITCON
• psSchur
• LOCA
• DSTool

Cites Work

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