A precise calculation of bifurcation points for periodic solution in nonlinear dynamical systems
作者：
Highlights：
• This paper presented a precise yet efficient algorithm to determine bifurcation points of periodic solutions in nonlinear dynamical systems.
• Period doubling and symmetry breaking points were obtained to an accuracy of 10−11.
• The bifurcation points can be directly determined without a tedious trail and error process.
摘要
•This paper presented a precise yet efficient algorithm to determine bifurcation points of periodic solutions in nonlinear dynamical systems.•Period doubling and symmetry breaking points were obtained to an accuracy of 10−11.•The bifurcation points can be directly determined without a tedious trail and error process.
论文关键词：Incremental harmonic balance method,Bifurcation value,Period doubling,Symmetry breaking
论文评审过程：Received 11 March 2013, Revised 28 August 2015, Accepted 29 August 2015, Available online 26 September 2015, Version of Record 29 November 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.08.130
