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Complete synchronization of chaos in systems with nonlinear inertial coupling

Author

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  • Korneev, I.A.
  • Semenov, V.V.
  • Slepnev, A.V.
  • Vadivasova, T.E.

Abstract

The effect of complete synchronization of chaotic oscillations and complex spatial structures in systems with nonlinear inertial coupling of the memristive type is studied. Three models of interacting systems with complex dynamics are considered: a system of two radio engineering chaotic self-oscillators, a system of two logistic maps, and a two-layer multiplex network of logistic maps with a dissipative nonlocal intra-layer coupling and a nonlinear inertial local coupling between the layers. For all three models, the influence of memristive coupling is shown. It consists in the dependence of the synchronization boundary on the initial state of the coupling elements. It has been established that this property is retained with inertial nonlinear coupling close to memristive (with strong inertiality).

Suggested Citation

  • Korneev, I.A. & Semenov, V.V. & Slepnev, A.V. & Vadivasova, T.E., 2021. "Complete synchronization of chaos in systems with nonlinear inertial coupling," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308511
    DOI: 10.1016/j.chaos.2020.110459
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    References listed on IDEAS

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    3. Li, Kexin & Bao, Bocheng & Ma, Jun & Chen, Mo & Bao, Han, 2022. "Synchronization transitions in a discrete memristor-coupled bi-neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
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