Forced bursting and transition mechanism in CO oxidation with three time scales

doi:10.1088/1674-1056/22/4/040504

Abstract The mathematical model of CO oxidation with three time scales on platinum group metals is investigated, in which order gaps between the time scales related to external perturbation and the rates associated with different chemical reaction steps exist. Forced bursters, such as point-point type forced bursting and point-cycle type forced bursting, are presented. The bifurcation mechanism of forced bursting is novel, and the phenomenon where two different kinds of spiking states coexist in point-cycle type forced bursting has not been reported in previous work. A double-parameter bifurcation set of the fast subsystem is explored to reveal the transition mechanisms of different forced bursters with parameter variation.

Keywords: CO oxidation forced bursting bifurcation mechanism enveloping slow-fast analysis

Received: 26 August 2012
Revised: 10 October 2012
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	82.40.Bj	(Oscillations, chaos, and bifurcations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 20976075, 10972091, and 11002093) and the College Graduate Student Scientific Research Innovation Foundation of Jiangsu Province, China (Grant No. CXLX12-0619).

Corresponding Authors: Bi Qin-Sheng
E-mail: qbi@ujs.edu.cn

Cite this article:

Li Xiang-Hong (李向红), Bi Qin-Sheng (毕勤胜) Forced bursting and transition mechanism in CO oxidation with three time scales 2013 Chin. Phys. B 22 040504

[1]	Gyorgyi L and Field R J 1992 Nature 355 808
[2]	Li Q S and Zhu R 2004 Chaos, Solitons and Fractals 19 195
[3]	Davis M J and Klippenstein S J 2002 J. Phys. Chem. A 106 5860
[4]	Mease K D 2005 Appl. Math. Comput. 164 627
[5]	Fujimoto F and Kaneko K 2003 Physica D 180 1
[6]	Conforto F, Groppi M and Jannelli A 2008 Appl. Math. Comput. 206 892
[7]	Lu Q S, Yang Z Q, Duan L X, Gu H G and Ren W 2009 Chaos, Solitons and Fractals 40 577
[8]	Bi, Q S 2010 Sci. China E: Tech. Sci. 53 748
[9]	Savino G V and Formigli C M 2009 BioSystems 97 9
[10]	Vidal A 2006 Positive Systems, LNCIS 341 439
[11]	Butera R J Jr, Rinzel J and Smith J C 1999 J. Neurophysiol. 82 382
[12]	Zhou G H, Xu J P, Bao B C, Zhang F and Liu X S 2010 Chin. Phys. Lett. 27 090504
[13]	Song M, Wang B N and Xu G S 2003 Chin. Phys. 12 189
[14]	Perc M and Marhl M 2003 Chem. Phys. Lett. 376 432
[15]	Surana A and Haller G 2008 Physica D 237 1507
[16]	Duan L X, Lu Q S and Cheng D Z 2009 Sci. China E: Tech. Sci. 52 771
[17]	Terman D 1992 J. Nonlinear Sci. 2 135
[18]	Han X J and Bi Q S 2009 Acta Phys. Sin. 58 4408 (in chinese)
[19]	Li X H and Bi Q S 2012 Chin. Phys. B 21 060505
[20]	Kummer J T 1986 J. Phys. Chem. 90 4747
[21]	Armor J N 1999 Appl. Catal. A 176 159
[22]	Kurkina E S and Semendyaeva N L 2003 Comput. Math. Modeling 14 319
[23]	Latkin E I, Elokhin V I and Gorodetskii V V 2001 J. Mol. Catal. A: Chem. 166 23
[24]	Lashina E A, Chumakova N A, Chumakov G A and Boronin A I 2009 Chem. Eng. J. 154 82

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