Coupled neuronal networks have received considerable attention due to their important and extensive applications in science and engineering. This paper focuses on the nonlinear dynamics of delay-coupled bidirectional FitzHugh–Nagumo (FHN) neuronal networks through theoretical analysis, numerical computations, and circuit simulations. A variety of interesting dynamical behaviors of the network are explored, such as the coexistence of nontrivial equilibria and periodic solutions, different patterns of coexisting attractors, and even chaotic motions. An electronic circuit is designed and performed to validate the facticity of the complicated behaviors, such as multistability and chaotic attractors. It is shown that the circuit simulations reach an agreement with the obtained results.
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June 2019
Research-Article
Dynamical Analysis of Coupled Bidirectional FitzHugh–Nagumo Neuronal Networks With Multiple Delays
Xiaochen Mao,
Xiaochen Mao
Department of Engineering Mechanics,
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
1Corresponding author.
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Xiangyu Zhou,
Xiangyu Zhou
Department of Engineering Mechanics,
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
Search for other works by this author on:
Tiantian Shi,
Tiantian Shi
Department of Engineering Mechanics,
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
Search for other works by this author on:
Lei Qiao
Lei Qiao
Department of Engineering Mechanics,
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
Search for other works by this author on:
Xiaochen Mao
Department of Engineering Mechanics,
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
Xiangyu Zhou
Department of Engineering Mechanics,
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
Tiantian Shi
Department of Engineering Mechanics,
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
Lei Qiao
Department of Engineering Mechanics,
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
College of Mechanics and Materials,
Hohai University,
Nanjing 211100, China
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 16, 2018; final manuscript received February 15, 2019; published online April 8, 2019. Assoc. Editor: Firdaus Udwadia.
J. Comput. Nonlinear Dynam. Jun 2019, 14(6): 061002 (9 pages)
Published Online: April 8, 2019
Article history
Received:
June 16, 2018
Revised:
February 15, 2019
Citation
Mao, X., Zhou, X., Shi, T., and Qiao, L. (April 8, 2019). "Dynamical Analysis of Coupled Bidirectional FitzHugh–Nagumo Neuronal Networks With Multiple Delays." ASME. J. Comput. Nonlinear Dynam. June 2019; 14(6): 061002. https://doi.org/10.1115/1.4042998
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