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Multiple Bifurcations of Critical Period for a Quartic Kolmogorov Model

Multiple Bifurcations of Critical Period for a Quartic Kolmogorov Model Our work is concerned with the bifurcation of critical period for a quartic Kolmogorov system. By computing the periodic constants carefully, we show that point (1,1) can be a weak center of fourth order, and the weak centers condition is given. Moreover, point (1,1) can bifurcate 4 critical periods under a certain condition. In terms of multiple bifurcation of critical periodic problem for Kolmogorov model, studied results are less seen, our work is good and interesting. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Multiple Bifurcations of Critical Period for a Quartic Kolmogorov Model

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Publisher
Springer Journals
Copyright
Copyright © The Editorial Office of AMAS & Springer-Verlag GmbH Germany 2021
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-021-1036-6
Publisher site
See Article on Publisher Site

Abstract

Our work is concerned with the bifurcation of critical period for a quartic Kolmogorov system. By computing the periodic constants carefully, we show that point (1,1) can be a weak center of fourth order, and the weak centers condition is given. Moreover, point (1,1) can bifurcate 4 critical periods under a certain condition. In terms of multiple bifurcation of critical periodic problem for Kolmogorov model, studied results are less seen, our work is good and interesting.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Oct 1, 2021

Keywords: singular values; weak center; periodic constants; bifurcation of critical period; 34C07

References

  • Linearizability and local bifurcation of critical periods in a cubic Kolmogorov system
    Chen, X; Huang, W; Romanovski, V G; Zhang, W
  • Bifurcations of critical periods for plane vector fields
    Chicone, C; Jacobs, M
  • Limit cycles bifurcations for a class of Kolmogorov model in symmetrical vector field
    Du, C; Liu, Y; Huang, W
  • Limit cycles in a class of quartic Kolmogorov model with three positive equilibrium points
    Du, C; Liu, Y; Zhang, Q
  • Three-Dimensional hopf bifurcation for a class of cubic Kolmogorov system
    Du, C; Wang, Q; Huang, W
  • Center-focus problem and limit cycles bifurcations for a class of cubic Kolmogorov model
    Du, C; Huang, W
  • A class of ninth degree system with four isochronous centers
    Du, C; Liu, Y; Mi, H
  • Weak center problem and bifurcation of critical periods for a Z4-equivariant cubic system
    Du, C; Liu, Y; Liu, C
  • Centers and isochronous centers for generalized quintic systems
    Gine, J; Llibre, J; Valls, C
  • Weak centers and local bifurcations of critical periods at infinity for a class of rational systems
    Huang, W; Romanovski, VG; Zhang, W
  • Limit cycles in a general kolmogorov model
    Huang, X; Zhu, L
  • Bifurcation of critical periods from the reversible rigidly isochronous centers
    Liu, C; Han, M
  • Bifurcation of limit cycles, classification of centers and isochronicity for a class of non-analytic quintic systems
    Li, F; Qiu, J; Jing, L
  • Center and isochronous center conditions for switching systems associated with elementary singular points
    Li, F; Yu, P; Tian, Y; Liu, Y
  • A new method to determine isochronous center conditions for polynomial differential systems
    Liu, Y; Huang, W
  • On the dynamics of a class of Kolmogorov systems
    Llibre, J; Salhi, T
  • A cubic Kolmogorov system with six limit cycles
    Lloyd, NG; Pearson, JM; Saez, E; Szanto, I
  • Local bifurcation of critical periods for a class of Lienard equations
    Shao, Y; A, C
  • The limit cycles of a general Kolmogorov system
    Yuan, Y; Chen, H; Du, C; Yuan, Y