Chaos control in the cerium-catalyzed Belousov-Zhabotinsky reaction using recurrence quantification analysis measures

被引:32
作者
Fatoorehchi, Hooman [1 ]
Zarghami, Reza [1 ,2 ]
Abolghasemi, Hossein [1 ,3 ]
Rach, Randolph [4 ]
机构
[1] Univ Tehran, Sch Chem Engn, Coll Engn, Adv Control Res Lab, Tehran, Iran
[2] Univ Tehran, Sch Chem Engn, Coll Engn, Multiphase Res Syst Lab, Tehran, Iran
[3] Univ Tehran, Oil & Gas Ctr Excellence, Tehran, Iran
[4] George Adomian Ctr Appl Math, Hartford, MI 49057 USA
关键词
FLUIDIZED-BEDS HYDRODYNAMICS; ADOMIAN DECOMPOSITION METHOD; GAS COMPRESSIBILITY FACTOR; EQUATION-OF-STATE; DIFFERENTIAL-EQUATIONS; CHEMICAL-REACTION; FLOW-RATE; OSCILLATIONS; SYSTEMS; MODEL;
D O I
10.1016/j.chaos.2015.03.019
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Chaos control in the Belousov-Zhabotinsky-CSTR system was investigated theoretically and experimentally by reconstructing the phase space of the cerium (IV) ions concentration time series and then optimizing recurrence quantification analysis measures. The devised feedback loop acting on the reactor inlet flow rate was able to experimentally suppress chaos and drive the system to an almost predictable state with approximately 93% determinism. Similar theoretical results have also been demonstrated in numerical simulations using the four-variable Montanator model as solved by the multistage Adomian decomposition method. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:121 / 129
页数:9
相关论文
共 64 条
[1]   A REVIEW OF THE DECOMPOSITION METHOD AND SOME RECENT RESULTS FOR NONLINEAR EQUATIONS [J].
ADOMIAN, G .
MATHEMATICAL AND COMPUTER MODELLING, 1990, 13 (07) :17-43
[2]  
Adomian G., 1994, Solving Frontier Problems of Physics: The Decomposition Method
[3]  
[Anonymous], 1990, Appl. Math. Lett, DOI DOI 10.1016/0893-9659(90)90042-A
[4]   Piecewise finite series solution of nonlinear initial value differential problem [J].
Arenas, Abraham J. ;
Gonzalez-Parra, Gilberto ;
Jodar, Lucas ;
Villanueva, Rafael-J. .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 212 (01) :209-215
[5]   Monitoring of Fluidized Beds Hydrodynamics Using Recurrence Quantification Analysis [J].
Babaei, Behzad ;
Zarghami, Reza ;
Sotudeh-Gharebagh, Rahmat .
AICHE JOURNAL, 2013, 59 (02) :399-406
[6]   Investigating the hydrodynamics of gas-solid bubbling fluidization using recurrence plot [J].
Babaei, Behzad ;
Zarghami, Reza ;
Sedighikamal, Hossein ;
Sotudeh-Gharebagh, Rahmat ;
Mostoufi, Navid .
ADVANCED POWDER TECHNOLOGY, 2012, 23 (03) :380-386
[7]   Recurrence quantification analysis of global stock markets [J].
Bastos, Joao A. ;
Caiado, Jorge .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2011, 390 (07) :1315-1325
[8]   A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method [J].
Bougoffa, Lazhar ;
Rach, Randolph C. ;
Mennouni, Abdelaziz .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) :1785-1793
[9]   Practical method for determining the minimum embedding dimension of a scalar time series [J].
Cao, LY .
PHYSICA D, 1997, 110 (1-2) :43-50
[10]   Coupling patterns between spontaneous rhythms and respiration in cardiovascular variability signals [J].
Censi, F ;
Calcagnini, G ;
Cerutti, S .
COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE, 2002, 68 (01) :37-47