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
Citation: 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

Multistage Coexistence of Different Chaotic Routes in a Delayed Neural System

doi: 10.21656/1000-0887.400130
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
  • 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.
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