Journal
PHYSICAL REVIEW E
Volume 99, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.99.032214
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Funding
- South China Normal University [8S0340]
- Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme (2018)
- CSIR EMR Grant [03(1400)/17/EMR-II]
- National Science Foundation [CHE-1465013]
- National Natural Science Foundation of China [11475253]
- International (Regional) Cooperation and Exchange Program of the National Natural Science Foundation of China (Research on Inter-organizational Cooperation: NSFC-DFG) [11861131011]
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An adaptive coupling based on a low-pass filter (LPF) is proposed to manipulate dynamic activity of diffusively coupled dynamical systems. A theoretical analysis shows that tracking either the external or internal signal in the coupling via a LPF gives rise to distinctly different ways of regulating the rhythmicity of the coupled systems. When the external signals of the coupling are attenuated by a LPF, the macroscopic oscillations of the coupled system are quenched due to the emergence of amplitude or oscillation death. If the internal signals of the coupling are further filtered by a LPF, amplitude and oscillation deaths are effectively revoked to restore dynamic behaviors. The applicability of this approach is demonstrated in laboratory experiments of coupled oscillatory electrochemical reactions by inducing coupling through LPFs. Our study provides additional insight into (ar)rhythmogenesis in diffusively coupled systems.
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