Birhythmicity is evident in many nonlinear systems, which include physical and biological systems. In some living systems, birhythmicity is necessary for response to the varying environment while unnecessary in some physical systems as it limits their efficiency. Therefore, its control is an important area of research. This paper proposes a space-dependent intermittent control scheme capable of controlling birhythmicity in various dynamical systems. We apply the proposed control scheme in five nonlinear systems from diverse branches of natural science and demonstrate that the scheme is efficient enough to control the birhythmic oscillations in all the systems. We derive the analytical condition for controlling birhythmicity by applying harmonic decomposition and energy balance methods in a birhythmic van der Pol oscillator. Further, the efficacy of the control scheme is investigated through numerical and bifurcation analyses in a wide parameter space. Since the proposed control scheme is general and efficient, it may be employed to control birhythmicity in several dynamical systems.
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October 2023
Research Article|
October 24 2023
Space-dependent intermittent feedback can control birhythmicity
Debabrata Biswas
;
Debabrata Biswas
a)
(Conceptualization, Formal analysis, Investigation, Methodology, Supervision, Validation, Visualization, Writing – original draft)
1
Department of Physics, Bankura University
, Bankura 722155, West Bengal, India
a)Author to whom correspondence should be addressed: debbisrs@gmail.com
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Tapas Mandal
;
Tapas Mandal
(Formal analysis, Methodology, Software)
1
Department of Physics, Bankura University
, Bankura 722155, West Bengal, India
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Partha Sharathi Dutta
;
Partha Sharathi Dutta
(Conceptualization, Formal analysis, Methodology, Supervision, Visualization, Writing – original draft, Writing – review & editing)
2
Department of Mathematics, Indian Institute of Technology Ropar
, Rupnagar 140001, Punjab, India
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Tanmoy Banerjee
Tanmoy Banerjee
(Conceptualization, Formal analysis, Methodology, Supervision, Writing – original draft, Writing – review & editing)
3
Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan
, Burdwan 713104, West Bengal, India
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a)Author to whom correspondence should be addressed: debbisrs@gmail.com
Chaos 33, 103136 (2023)
Article history
Received:
March 24 2023
Accepted:
October 04 2023
Citation
Debabrata Biswas, Tapas Mandal, Partha Sharathi Dutta, Tanmoy Banerjee; Space-dependent intermittent feedback can control birhythmicity. Chaos 1 October 2023; 33 (10): 103136. https://doi.org/10.1063/5.0151697
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