New methods for calculating the stability of periodic solutions

DOI10.1016/0898-1221(87)90045-9zbMath0632.65088OpenAlexW2070088588MaRDI QIDQ1095613

B. George

Publication date: 1987

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(87)90045-9

zbMATH Keywords

monodromy matrixautonomous systemsmultiple shootingstability of periodic solutions

Mathematics Subject Classification ID

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

Related Items (4)

On the existence of periodic solution and the transition to chaos of Rayleigh-Duffing equation with application of gyro dynamic ⋮ On the analysis of time-periodic nonlinear dynamical systems. ⋮ Forced oscillations in an exothermic chemical reaction ⋮ Coexisting Attractors in a Physically Extended Lorenz System

Uses Software

• BIFPACK

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• DERPER - An algorithm for the continuation of periodic solutions in ordinary differential equations
• Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations
• Klassische Runge-Kutta-Formeln fünfter und siebenter Ordnung mit Schrittweiten-Kontrolle
• Roads to turbulence in dissipative dynamical systems
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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