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摘要:
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.
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来源 :
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN: 0218-1274
年份: 2016
期: 7
卷: 26
2 . 2 0 0
JCR@2022
ESI学科: MATHEMATICS;
ESI高被引阀值:71
中科院分区:3
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