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| Time-daley Rucklidge system Hopf bifurcation analysis and circuit simulation |
| Received:June 20, 2018 Revised:July 25, 2018 |
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| DOI：10.7511/jslx20180620001 |
| KeyWord:Rucklidge system time-delay Hopf bifurcation circuit simulation |
| Author | Institution |
| 何宏骏 |
上海工程技术大学 机械与汽车工程学院, 上海 |
| 崔岩 |
上海工程技术大学 机械与汽车工程学院, 上海 |
| 孙观 |
上海工程技术大学 机械与汽车工程学院, 上海 |
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| Abstract: |
| We take a new type of single-delay Rucklidge system as the analysis subject and analyse the stability of the system and the existence of Hopf bifurcation by calculating the equilibrium point of the time-delay system,and the conditions of Hopf bifurcation are obtained.Matlab multi-group numerical simulation verified the correctness of theoretical analysis.Based on this,a chaotic circuit with switchable time-delay and without time-delay is designed and simulated by Multisim14.0.The experimental results show that the circuit is feasible and effective.At present,there are few relevant papers on the time-delay Rucklidge system.We verify the physical achievability of the time-delay Rucklidge system in this report and provide a reference for its application in the field of secure communication. |