SOME SIMPLE BIFURCATION SETS OF AN EXTENDED VAN DER POL MODEL AND THEIR RELATION TO CHEMICAL OSCILLATORS

被引：10

作者：

KOPER, MTM

机构：

[1] Department of Electrochemistry, University of Utrecht, 3584 CH Utrecht

来源：

JOURNAL OF CHEMICAL PHYSICS | 1995年 / 102卷 / 13期

关键词：

D O I：

10.1063/1.469253

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

Some typical bifurcation sets of a generalized autonomous Van der Pol-type model are discussed as archetypes of phase diagrams occurring in nonlinear dynamical systems. The relevance of the obtained bifurcation sets is exemplified by several experimental and numerical results from the literature of oscillating chemical reactions. © 1995 American Institute of Physics.

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页码：5278 / 5287

页数：10

相关论文

共 45 条

[1] SYSTEMATIC DESIGN OF CHEMICAL OSCILLATORS .16. INORGANIC BROMATE OSCILLATORS - BROMATE MANGANOUS REDUCTANT [J].

ALAMGIR, M ;

ORBAN, M ;

EPSTEIN, IR .

JOURNAL OF PHYSICAL CHEMISTRY, 1983, 87 (19) :3725-3728

[2] SINGULAR HOPF-BIFURCATION TO RELAXATION OSCILLATIONS [J].

BAER, SM ;

ERNEUX, T .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1986, 46 (05) :721-739

[3]

Bar-Eli K, 1981, NONLINEAR PHENOMENA, P228

[4] TRANSITIONS FROM BISTABILITY TO LIMIT-CYCLE OSCILLATIONS - THEORETICAL-ANALYSIS AND EXPERIMENTAL-EVIDENCE IN AN OPEN CHEMICAL-SYSTEM [J].

BOISSONADE, J ;

DEKEPPER, P .

JOURNAL OF PHYSICAL CHEMISTRY, 1980, 84 (05) :501-506

[5] SYSTEMATIC DESIGN OF CHEMICAL OSCILLATORS .33. MECHANISM FOR THE OSCILLATORY BROMATE IODIDE REACTION [J].

CITRI, O ;

EPSTEIN, IR .

JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1986, 108 (03) :357-363

[6] METHOD FOR DERIVING HOPF AND SADDLE-NODE BIFURCATION HYPERSURFACES AND APPLICATION TO A MODEL OF THE BELOUSOV-ZHABOTINSKII SYSTEM [J].

CLARKE, BL ;

JIANG, WM .

JOURNAL OF CHEMICAL PHYSICS, 1993, 99 (06) :4464-4478

[7]

CLARKE BL, 1980, ADV CHEM PHYS, V43, P1

[8] ON A 4 PARAMETER FAMILY OF PLANAR VECTOR-FIELDS [J].

DANGELMAYR, G ;

GUCKENHEIMER, J .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1987, 97 (04) :321-351

[9] SYSTEMATIC DESIGN OF CHEMICAL OSCILLATORS .5. BISTABILITY AND OSCILLATIONS IN THE AUTOCATALYTIC CHLORITE IODIDE REACTION IN A STIRRED-FLOW REACTOR [J].

DATEO, CE ;

ORBAN, M ;

DEKEPPER, P ;

EPSTEIN, IR .

JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1982, 104 (02) :504-509

[10] THEORETICAL AND EXPERIMENTAL-ANALYSIS OF PHASE-DIAGRAMS AND RELATED DYNAMICAL PROPERTIES IN THE BELOUSOV-ZHABOTINSKII SYSTEM [J].

DEKEPPER, P ;

BOISSONADE, J .

JOURNAL OF CHEMICAL PHYSICS, 1981, 75 (01) :189-195

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