Delta synchronization of Poincare chaos in gas discharge-semiconductor systems

Date

2022-08-01

Author

Akhmet, Marat
Baskan, Kagan
Yeşil, Cihan

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We introduce a new type of chaos synchronization, specifically the delta synchronization of Poincare chaos. The method is demonstrated for the irregular dynamics in coupled gas discharge-semiconductor systems (GDSSs). It is remarkable that the processes are not generally synchronized. Our approach entirely relies on ingredients of the Poincare chaos, which in its own turn is a consequence of the unpredictability in Poisson stable motions. The drive and response systems are in the connection, such that the latter is processed through the electric potential of the former. The absence of generalized synchronization between these systems is indicated by utilizing the conservative auxiliary system. However, the existence of common sequences of moments for finite convergence and separation confirms the delta synchronization. This can be useful for complex dynamics generation and control in electromagnetic devices. A bifurcation diagram is constructed to separate stable stationary solutions from non-trivial oscillatory ones. Phase portraits of the drive and response systems for a specific regime are provided. The results of the sequential test application to indicate the unpredictability and the delta synchronization of chaos are demonstrated in tables. The computations of the dynamical characteristics for GDSSs are carried out by using COMSOL Multiphysics version 5.6 and MATLAB version R2021b. Published under an exclusive license by AIP Publishing.

URI

https://hdl.handle.net/11511/98845

Journal

CHAOS

DOI

https://doi.org/10.1063/5.0103132

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, K. Baskan, and C. Yeşil, “Delta synchronization of Poincare chaos in gas discharge-semiconductor systems,” CHAOS, vol. 32, no. 8, pp. 0–0, 2022, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/98845.