https://doi.org/10.1140/epjp/s13360-023-03900-x
Regular Article
Energy flow controls synchronization in a network coupled with memristive synapses
1
Department of Physics, Lanzhou University of Technology, 730050, Lanzhou, China
2
School of Science, Chongqing University of Posts and Telecommunications, 430065, Chongqing, China
d hyperchaos@163.com, hyperchaos@lut.edu.cn
Received:
18
January
2023
Accepted:
15
March
2023
Published online:
30
March
2023
External stimulus and noisy disturbance can inject energy into nonlinear systems, and the energy propagation between different branch circuits is regulated to control the oscillatory states completely. In this work, memristive synapse is activated under energy diversity and the energy flow is guided to control the coupling channels adaptively between Chua circuits (in presenting periodic and/or chaotic states). The field energy in each nonlinear circuit is described by an equivalent Hamilton energy function and adaptive mechanism for field coupling is explained. For identical Chaotic Chua circuits, complete synchronization is controlled under energy balance. Transient chaos occurs in the Chua systems when the memristive parameter for coupling channel is below a saturation value, and then chaos is suppressed to present synchronous oscillation with stronger coupling intensity. In a chain network composed of Chua circuits, local energy balance is helpful to develop regular spatial patterns. Applying distinct diversity for initials will induce large diversity in energy for all nodes, the memristive channel can increase its parameter for reaching a higher value beyond the threshold, and a higher synchronization factor is obtained. These results indicate that local energy balance controls the collective behaviors of nonlinear oscillators and energy flow can be guided to control the synchronization stability in the network.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
