Dynamics of a Class of Chemical Oscillators with Asymmetry Potential: Simulations and Control over Oscillations

The literature devoted to the issue of a forced modified Van der Pol–Duffing oscillator with asymmetric potential is a major and varied way to represent nonlinear dissipative chemical dynamics. It is known that this model is based on the real reaction–kinetic scheme. In this paper, we suggest a novel class of oscillators that are appealing to users due to their numerous free parameters and asymmetric potential. The rationale for this is because an expanded model is put out that enables the investigation of both classical and more recent models that have been reported in the literature at a “higher energy level”. We present a few specific modules for examining these oscillators’ behavior. A much broader Web-based application for scientific computing will incorporate this as a key component. Probabilistic construction to offer possible control over the oscillations is also considered.

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Publication Details

Journal
Mathematics
Published
2025-03-29
DOI
https://doi.org/10.3390/math13071129
Citations
2
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
2.97
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article

Dynamics of a Class of Chemical Oscillators with Asymmetry Potential: Simulations and Control over Oscillations

Tsvetelin Zaevski, Nikolay Kyurkchiev, Vesselin Kyurkchiev, Asen Rahnev et al.
2 citations
Mathematics
Nonlinear Dynamics and Pattern Formation
2.97
article

Dynamics of a Class of Chemical Oscillators with Asymmetry Potential: Simulations and Control over Oscillations

Tsvetelin Zaevski, Nikolay Kyurkchiev, Vesselin Kyurkchiev, Asen Rahnev, Anton I. Iliev
article en
2 citations

Abstract

The literature devoted to the issue of a forced modified Van der Pol–Duffing oscillator with asymmetric potential is a major and varied way to represent nonlinear dissipative chemical dynamics. It is known that this model is based on the real reaction–kinetic scheme. In this paper, we suggest a novel class of oscillators that are appealing to users due to their numerous free parameters and asymmetric potential. The rationale for this is because an expanded model is put out that enables the investigation of both classical and more recent models that have been reported in the literature at a “higher energy level”. We present a few specific modules for examining these oscillators’ behavior. A much broader Web-based application for scientific computing will incorporate this as a key component. Probabilistic construction to offer possible control over the oscillations is also considered.

MathematicsVol. 13(7)
Plovdiv University (BG), Bulgarian Academy of Sciences (BG), Institute of Mathematics and Informatics (BG), Sofia University "St. Kliment Ohridski" (BG)
Openalex Percentile: Top 10%
Nonlinear Dynamics and Pattern Formation
2.97
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Dynamics of a Class of Chemical Oscillators with Asymmetry Potential: Simulations and Control over Oscillations — Tsvetelin Zaevski, Nikolay Kyurkchiev, et al. · Mathematics (2025) | TGRS Research Map | TGRS