Synchronization of Canards in Coupled Canard-Generating Bonhoeffer-Van Der Pol Oscillators Subject to Weak Periodic Perturbations

This paper discusses the synchronization of two identical canard-generating oscillators. First, we investigate a canard explosion generated in a system containing a Bonhoeffer-van der Pol (BVP) oscillator using the actual parameter values obtained experimentally. We find that it is possible to numer...

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Veröffentlicht in:IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Communications and Computer Sciences, 2024/08/01, Vol.E107.A(8), pp.1098-1105
Hauptverfasser: DAS, Kundan Lal, SEKIKAWA, Munehisa, TSUBONE, Tadashi, INABA, Naohiko, OKAZAKI, Hideaki
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Sprache:eng
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Zusammenfassung:This paper discusses the synchronization of two identical canard-generating oscillators. First, we investigate a canard explosion generated in a system containing a Bonhoeffer-van der Pol (BVP) oscillator using the actual parameter values obtained experimentally. We find that it is possible to numerically observe a canard explosion using this dynamic oscillator. Second, we analyze the complete and in-phase synchronizations of identical canard-generating coupled oscillators via experimental and numerical methods. However, we experimentally determine that a small decrease in the coupling strength of the system induces the collapse of the complete synchronization and the occurrence of a complex synchronization; this finding could not be explained considering four-dimensional autonomous coupled BVP oscillators in our numerical work. To numerically investigate the experimental results, we construct a model containing coupled BVP oscillators that are subjected to two weak periodic perturbations having the same frequency. Further, we find that this model can efficiently numerically reproduce experimentally observed synchronization.
ISSN:0916-8508
1745-1337
DOI:10.1587/transfun.2023EAP1055