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Applying the regression analysis to the measured data in CO oxidation on platinum group metals, a analytical theory model with different time scales is established in this paper. The stabilities of equilibria are discussed in detail, and different types of the solutions may bifurcate from the equilibria with the change of the parameters. With a certain parameter, the system can exhibit periodic oscillations via the saddle-node homoclinic orbit bifurcation, which can evolve into periodic bursting, owing to Hopf bifurcation of the fast subsystem. The bifurcation connecting the quiescent state and the repetitive spikes is presented to account for the occurrence of the Nk oscillations. Furthermore, the mechanism of sequence of the period-adding bifurcations is explored to reveal why the length of the sequences become longer with the variation of the parameters.
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Keywords:
- platinum group metals /
- oxidation /
- bursting /
- bifurcation
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[15] Conforto F, Groppi M, Jannelli A 2008 Appl Math Comput 206 892
[16] Bi Q S 2010 Sci. China Tech. Sci. 53 748
[17] Geest T, Sterinmetz C G, Larter R, Olsen L F 1992 J. Phys. Chem. 96 5678
[18] Neugebauer J, Zywietz T, Scheffler M 2003 Phys. Rev. Lett. 90 056101
[19] Duan L X, Lu Q S 2006 Chaos, Solitons & Fractal 30 1172
[20] Gyorgyi L, Field R J 1992 Nature 355 808
[21] Chen Z Y, Zhang X F, Bi Q S 2010 Acta. Phys. Sin. 59 2326 (in Chinese) [陈章耀, 张晓芳, 毕勤胜 2010 物理学报 59 2326]
[22] Lu Q S, Yang Z Q, Duan L X, Gu H G, Ren W 2009 Chaos, Solitons & Fractal 40 577
[23] Han X J, Jiang B, Bi Q S 2009 Physics Letters A 373 3643
[24] Ivanova E A, Chumakova N A, Chumakov G A , Boronin A I 2005 Chem. Eng. J. 107 191
[25] Zhang X F, Chen Z Y, Bi Q S 2010 Acta. Phys. Sin. 59 3802 (in Chinese) [张晓芳, 陈章耀, 毕勤胜 2010 物理学报 59 3802]
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[1] Slinko M M, Jeager N I, 1994 Stud. Surf. Sci. catal. 86 415
[2] Kummer J T 1986 J. Phys. Chem. 90 4747
[3] Armor J N 1999 Appl. Catal. A 176 159
[4] Rostrup-Neilsen J R 1984 Sci. Techol. 5 1
[5] Chumakov G A, Slinko M M, Belyaev V D, Slinko M G 1977 Dokl. Akad. Nauk. USSR 234 399
[6] Turner J E, Sales B C, Maple M B 1981 Surf. Sci. 103 54
[7] Turner J E, Sales B C, Maple M B 1981 Surf. Sci. 109 591
[8] Sales B C, Turner J E, Maple M B 1982 Surf. Sci. 114 381
[9] Ertl G, Norton P R, Rustig J 1982 Phys. Rev. Lett. 49 171
[10] Jaeger N I, Moller K, Plath P 1986 J. Chem. Soc. Faraday Tran Pt II 82 3315
[11] Latkin E I, Elokhin V I, Gorodetskii V V 2001 J. Mol. Catal. Chem. A 166 23
[12] Santra A K, Googman D W 2002 Electrochimica Acta. 47 3595
[13] Lashina E A, Chumakova N A, Chumakov G A, Boronin A I 2009 Chem. Eng. J. 154 82
[14] Surana A, Haller G 2008 Phys. D 237 1507
[15] Conforto F, Groppi M, Jannelli A 2008 Appl Math Comput 206 892
[16] Bi Q S 2010 Sci. China Tech. Sci. 53 748
[17] Geest T, Sterinmetz C G, Larter R, Olsen L F 1992 J. Phys. Chem. 96 5678
[18] Neugebauer J, Zywietz T, Scheffler M 2003 Phys. Rev. Lett. 90 056101
[19] Duan L X, Lu Q S 2006 Chaos, Solitons & Fractal 30 1172
[20] Gyorgyi L, Field R J 1992 Nature 355 808
[21] Chen Z Y, Zhang X F, Bi Q S 2010 Acta. Phys. Sin. 59 2326 (in Chinese) [陈章耀, 张晓芳, 毕勤胜 2010 物理学报 59 2326]
[22] Lu Q S, Yang Z Q, Duan L X, Gu H G, Ren W 2009 Chaos, Solitons & Fractal 40 577
[23] Han X J, Jiang B, Bi Q S 2009 Physics Letters A 373 3643
[24] Ivanova E A, Chumakova N A, Chumakov G A , Boronin A I 2005 Chem. Eng. J. 107 191
[25] Zhang X F, Chen Z Y, Bi Q S 2010 Acta. Phys. Sin. 59 3802 (in Chinese) [张晓芳, 陈章耀, 毕勤胜 2010 物理学报 59 3802]
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