Multistage Coexistence of Different Chaotic Routes in a Delayed Neural System

LI Xiaohu; ZHANG Dingyi; SONG Zigen

doi:10.21656/1000-0887.400130

Volume 41 Issue 6

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Article Navigation > Applied Mathematics and Mechanics > 2020 > 41(6): 636-645

LI Xiaohu, ZHANG Dingyi, SONG Zigen. Multistage Coexistence of Different Chaotic Routes in a Delayed Neural System[J]. Applied Mathematics and Mechanics, 2020, 41(6): 636-645. doi: 10.21656/1000-0887.400130

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Multistage Coexistence of Different Chaotic Routes in a Delayed Neural System

doi: 10.21656/1000-0887.400130

¹College of Information Technology, Shanghai Ocean University, Shanghai 201306, P.R.China;²College of Food Sciences and Technology, Shanghai Ocean University, Shanghai 201306, P.R.China

Funds: The National Natural Science Foundation of China（11672177）

Received Date: 2019-04-01
Rev Recd Date: 2019-10-18
Publish Date: 2020-06-01

Abstract

Abstract

Chaos and its coexistence involve very important problems in dynamical analysis. A delayed inertial 2-neuron system with non-monotonic activation function was studied with the Poincaré section method. With system parameters fixed and time delay τ chosen as the parametric variable, 1D bifurcation diagrams, i. e. period-doubling and quasi-periodic bifurcations were given under different initial conditions. The results show that, the neural system exhibits multistage coexistence of many period-doubling and quasi-periodic bifurcation sequences along different routes to chaos and stable coexistence of many chaotic attractors and multi-periodic solutions.
- neural system,
- time delay,
- period-doubling bifurcation,
- quasi-periodic bifurcation,
- coexistence,
- chaos route

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References(19)

References

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