Bifurcation, chaos, and their control in a wheelset model

2020 ◽  
Vol 43 (12) ◽  
pp. 7152-7174
Author(s):  
Junhong Li ◽  
Huibin Wu ◽  
Ning Cui
Keyword(s):  
Bifurcation Chaos

scholarly journals Bifurcation, Chaos and its Control in A Fractional Order Power System Model with Uncertainties

2018 ◽  
Vol 21 (1) ◽  
pp. 184-193 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Anitha Karthikeyan ◽  
Prakash Duraisamy ◽  
Riessom Weldegiorgis ◽  
Goitom Tadesse
Keyword(s):  
Power System ◽  
Fractional Order ◽  
System Model ◽  
Power System Model ◽  
Bifurcation Chaos

Bifurcation, chaos and hysteresis in electrodynamic cone loudspeaker

1990 ◽  
Vol 7 (2) ◽  
pp. 68-71 ◽  
Author(s):  
Miao Guoqing ◽  
Ni Wansun ◽  
Tao Qintian ◽  
Zhang Zhiliang ◽  
Wei Rongjue
Keyword(s):  
Bifurcation Chaos

DYNAMIC BEHAVIORS OF A KIND OF PREDATOR–PREY SYSTEM WITH IVLEV'S AND BEDDINGTON–DEANGELIS' FUNCTIONAL RESPONSE AND IMPULSIVE RELEASE

2008 ◽  
Vol 08 (04) ◽  
pp. 667-681
Author(s):  
HONGJIAN GUO ◽  
XINYU SONG ◽  
LANSUN CHEN
Keyword(s):  
Periodic Solution ◽  
Numerical Simulations ◽  
Functional Response ◽  
Period Doubling ◽  
Continuous System ◽  
Impulsive System ◽  
Predator Prey ◽  
Impulsive Release ◽  
Predator System ◽  
Bifurcation Chaos

A kind of one-prey two-predator system with Ivlev's and Beddington–DeAngelis' functional response and impulsive release at fixed moments is presented. It is shown that the system has a prey-free periodic solution. By using the Floquet theory and small amplitude perturbation skills, it is proved that the prey-free periodic solution of the system is locally asymptotically stable when the period of impulsive release is less than a critical value. Furthermore, permanence of the system is investigated and the condition of permanence is obtained. Finally, numerical simulations show that the system has complex properties which include periodic solution, period-doubling bifurcation, chaos, chaotic windows, half-period bifurcation. A brief discussion on our results and their relation between the continuous system and the impulsive system are given. The results obtained in this paper are confirmed by numerical simulations.

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