Bifurcation of critical periods of a quintic system

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romanovski.pdf (333.1 KB)
Date
2018-03-13
Authors
Romanovski, Valery G.
Han, Maoan
Huang, Wentao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We investigate the critical period bifurcations of the system ẋ = ix + xx̄ (αx3 + bx2x̄ + x̄x̄2 + dx̄3) studied in [6]. We prove that at most three critical periods can bifurcate from any nonlinear center of the system.
Description
Keywords
Critical period, Bifurcation, Isochronicity, Polynomial systems
Citation
Romanovski, V. G., Han, M., & Huang, W. (2018). Bifurcation of critical periods of a quintic system. <i>Electronic Journal of Differential Equations, 2018</i>(66), pp. 1-11.
URI
https://hdl.handle.net/10877/15208
Collections
Electronic Journal of Differential Equations