Continuation of Bifurcations of Periodic Orbits for Large-Scale Systems

DOI10.1137/140981010zbMath1370.37101OpenAlexW2055581389MaRDI QIDQ5249803

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Publication date: 12 May 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/76843

zbMATH Keywords

continuation methodvariational equationperiodic orbitNewton-Krylov methodbifurcation trackingnumerical computation of invariant objects

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Simulation of dynamical systems (37M05) Applications to the sciences (65Z05) Convection in hydrodynamic stability (76E06) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

Related Items (7)

The interaction of multiple bubbles in a Hele-Shaw channel ⋮ Approximate boundaries of resonance tongue for planar maps ⋮ Validated numerics for period-tupling and touch-and-go bifurcations of symmetric periodic orbits in reversible systems ⋮ The influence of invariant solutions on the transient behaviour of an air bubble in a Hele-Shaw channel ⋮ Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications ⋮ Continuation of Double Hopf Points in Thermal Convection of Rotating Fluid Spheres ⋮ Kelvin–Helmholtz billows above Richardson number

Uses Software

• GMRES
• MATCONT
• CONTENT
• AUTO
• AUTO-86
• LOCA

Cites Work

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