Determination of invariant tori bifurcation points

DOI10.1016/0378-4754(87)90064-4zbMath0633.65067OpenAlexW1977686427MaRDI QIDQ1096346

Milan Kubiček, Martin Holodniok

Publication date: 1987

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(87)90064-4

zbMATH Keywords

convergenceNewton methodshooting techniquelumped parameter systemNavier- Stokes equationbranch of periodic solutionsBrusselator reaction kinetic schemechemical reactor theoryinvariant tori bifurcation pointsmixed reaction cells with linear diffusion coupling

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Periodic solutions to ordinary differential equations (34C25) Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Chemically reacting flows (80A32) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

Periodic doubling solutions in the Duffing oscillator: A Galerkin approach ⋮ Systematic derivation of amplitude equations and normal forms for dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New algorithms for the evaluation of complex bifurcation points in ordinary differential equations. A comparative numerical study
• DERPER - An algorithm for the continuation of periodic solutions in ordinary differential equations
• Periodic and Steady-State Mode Interactions Lead to Tori
• Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]

This page was built for publication: Determination of invariant tori bifurcation points