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

被引:0
作者
Kyurkchiev, Nikolay [1 ,2 ]
Zaevski, Tsvetelin [2 ,3 ]
Iliev, Anton [1 ]
Kyurkchiev, Vesselin [1 ]
Rahnev, Asen [1 ]
机构
[1] Univ Plovdiv Paisii Hilendarski, Fac Math & Informat, 24 Tzar Asen Str, Plovdiv 4000, Bulgaria
[2] Bulgarian Acad Sci, Inst Math & Informat, Acad G Bonchev Str Bl 8, Sofia 1113, Bulgaria
[3] Sofia Univ St Kliment Ohridski, Fac Math & Informat, 5 James Bourchier Blvd, Sofia 1164, Bulgaria
关键词
extended oscillator based on Van der Pol-Duffing oscillator with asymmetry potential; reaction-kinetic scheme; Melnikov's approach; BELOUSOV-ZHABOTINSKY REACTION; REACTION NETWORKS; DUFFING OSCILLATOR; MODELS;
D O I
10.3390/math13071129
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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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页数:21
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共 52 条
  • [41] Piskunov N., 1980, Calcul Diffrentiel et Integral, V9th ed.
  • [42] Matrix and convolution methods in chemical kinetics
    Pogliani, L
    BerberanSantos, M
    Martinho, JMG
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 1996, 20 (1-2) : 193 - 210
  • [43] Robust simplifications of multiscale biochemical networks
    Radulescu, Ovidiu
    Gorban, Alexander N.
    Zinovyev, Andrei
    Lilienbaum, Alain
    [J]. BMC SYSTEMS BIOLOGY, 2008, 2
  • [44] A model reduction method for biochemical reaction networks
    Rao, Shodhan
    van der Schaft, Arjan
    van Eunen, Karen
    Bakker, Barbara M.
    Jayawardhana, Bayu
    [J]. BMC SYSTEMS BIOLOGY, 2014, 8
  • [45] Artificial hybrid neural network-based simultaneous scheme for solving nonlinear equations: Applications in engineering
    Shams, Mudassir
    Kausar, Nasreen
    Araci, Serkan
    Oros, Georgia Irina
    [J]. ALEXANDRIA ENGINEERING JOURNAL, 2024, 108 : 292 - 305
  • [46] Efficient Families of Multi-Point Iterative Methods and Their Self-Acceleration with Memory for Solving Nonlinear Equations
    Thangkhenpau, G.
    Panday, Sunil
    Bolundut, Liviu C.
    Jantschi, Lorentz
    [J]. SYMMETRY-BASEL, 2023, 15 (08):
  • [47] Derivation of Steady State Parametrizations of Chemical Reaction Networks with n Independent and Identical Subnetworks
    Villareal, Kean Arkhei M.
    Hernandez, Bryan S.
    Lubenia, Patrick Vincent N.
    [J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2024, 91 (02) : 337 - 365
  • [48] Some High-Order Iterative Methods for Nonlinear Models Originating from Real Life Problems
    Zaka Ullah, Malik
    Behl, Ramandeep
    Argyros, Ioannis K.
    [J]. MATHEMATICS, 2020, 8 (08)
  • [49] Zhabotinskii A.M., 1972, Biological and Biochemical Oscillators
  • [50] OSCILLATIONS AND WAVES IN METAL-ION-CATALYZED BROMATE OSCILLATING REACTIONS IN HIGHLY OXIDIZED STATES
    ZHABOTINSKY, AM
    BUCHHOLTZ, F
    KIYATKIN, AB
    EPSTEIN, IR
    [J]. JOURNAL OF PHYSICAL CHEMISTRY, 1993, 97 (29) : 7578 - 7584