OPCL coupling of mixed integer-fractional order oscillators: tree and chain implementation

Controlling coupled oscillators and their application are important in diverse areas of nonlinear science and technology. In this paper, a unidirectional Open-Plus-Closed-Loop coupling (OPCL) scheme in controlling two mixed oscillators with emphasis on fractance and integer-order configurations was...

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Bibliographic Details
Published in:Physica scripta 2021-12, Vol.96 (12), p.125270
Main Author: Adelakun, Adedayo O
Format: Article
Language:English
Subjects:
chain
couplings
fractional
integer
oscillators
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Summary:Controlling coupled oscillators and their application are important in diverse areas of nonlinear science and technology. In this paper, a unidirectional Open-Plus-Closed-Loop coupling (OPCL) scheme in controlling two mixed oscillators with emphasis on fractance and integer-order configurations was introduced. The appropriate choice of the controller between coupled non-identical oscillators is justified to achieve the coexistence of anti-phase and complete synchronization via amplitude death. The possibility of controlling one response variable, keeping the other pairs of variable undisturbed are deduced with different configurations. This type of mixed synchronization emanated from coupled integer and fractional-order Sprott-A oscillators without interception and loss of stability. The main novelty in this work is the analog implementation for the coupled integer-order, tree, and chain configurations which are simulated and discussed extensively.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ac3dba