A precise calculation of bifurcation points for periodic solution in nonlinear dynamical systems

DOI10.1016/j.amc.2015.08.130zbMath1410.34112OpenAlexW2159625802MaRDI QIDQ668594

Juan-Miguel Gracia

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.130

zbMATH Keywords

symmetry breakingperiod doublingincremental harmonic balance methodbifurcation value

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Computational methods for bifurcation problems in dynamical systems (37M20)

Cites Work

• Stability and Hopf bifurcation of a mathematical model describing bacteria-fish interaction in marine environment
• Bifurcation and route-to-chaos analyses for Mathieu-Duffing oscillator by the incremental harmonic balance method
• Bifurcation analysis of delay-induced periodic oscillations
• A method for the numerical computation of Hopf bifurcation
• Bifurcation and stability properties of periodic solutions to two nonlinear spring-mass systems
• A direct method for computation of simple bifurcations
• Bifurcation analysis of aeroelastic systems with hysteresis by incremental harmonic balance method
• Computing Hopf Bifurcations I
• The Computation of Symmetry-Breaking Bifurcation Points
• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments

This page was built for publication: A precise calculation of bifurcation points for periodic solution in nonlinear dynamical systems