Indexed by:
Abstract:
To understand the complex dynamics of Kingni-Jafari system with hidden attractors, the first objective of this paper is to study the global dynamics, and give a complete description of the dynamics of Kingni-Jafari system at infinity by using the Poincare compactification of a polynomial vector field in R-3. The second objective of this paper is to prove the existence of periodic solutions in the Kingni-Jafari system by classical Hopf bifurcation and degenerate Hopf bifurcation. Moreover, based on averaging theory, a small amplitude periodic solution that bifurcates from a zero-Hopf equilibrium was derived in the Kingni-Jafari system. The theoretical analysis and simulations demonstrate the rich dynamics of the system.
Keyword:
Reprint Author's Address:
Email:
Source :
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN: 0218-1274
Year: 2016
Issue: 7
Volume: 26
2 . 2 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:71
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 41
SCOPUS Cited Count: 50
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 3
Affiliated Colleges: