Analysis of Two Scales Effects on Non-autonomous BVP Systems
Journal Title: 河南科技大学学报（自然科学版） - Year 2019, Vol 40, Issue 1
Abstract
Taking coupled non-smooth Bohoffer-Van der Pol ( BVP) system with periodic excitation as an example, the difference of magnitude between periodic excitation frequency and natural frequency of system was investigated. The difference of magnitude was the coupling effect of two time scales in frequency domain.Because the excitation frequency was much lower than the natural frequency of system, the whole excitation term was considered as a slow-varying parameter. The generalized equilibrium points and stabilities of system were obtained when the slow-varying parameter varied. The system had periodic bursting behavior when the value of parameters were appropriate. By combining the fast-slow analysis method and transformed phase portraits, the complex dynamical behavior as well as related mechanisms were analyzed when the slow-varying parameter crossed different bifurcation points and non-smooth boundary.
Authors and Affiliations
Xiaoning LI, Zhengdi ZHANG
Keywords
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- DOI 10.15926/j.cnki.issn1672-6871.2019.01.016
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