BISTABLE OSCILLATING STATES IN DISSIPATIVE DYNAMICAL-SYSTEMS - SCALING PROPERTIES AND ONE-DIMENSIONAL MAPS

被引:8
作者
KAPRAL, R
FRASER, S
机构
关键词
D O I
10.1021/j150665a009
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 ;
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页码:4845 / 4852
页数:8
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共 41 条
[1]   SYSTEMATIC DESIGN OF CHEMICAL OSCILLATORS .16. BIRHYTHMICITY AND COMPOUND OSCILLATION IN COUPLED CHEMICAL OSCILLATORS - CHLORITE-BROMATE-IODIDE SYSTEM [J].
ALAMGIR, M ;
EPSTEIN, IR .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1983, 105 (08) :2500-2502
[2]  
Arnold V.I., 1965, AM MATH SOC TRANSL, V46, P213, DOI 10.1090/trans2/046/11
[3]   BIFURCATIONS FROM AN INVARIANT CIRCLE FOR 2-PARAMETER FAMILIES OF MAPS OF THE PLANE - A COMPUTER-ASSISTED STUDY [J].
ARONSON, DG ;
CHORY, MA ;
HALL, GR ;
MCGEHEE, RP .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 83 (03) :303-354
[4]   SELF-SIMILARITY IN PERIODICALLY FORCED OSCILLATORS [J].
BELAIR, J ;
GLASS, L .
PHYSICS LETTERS A, 1983, 96 (03) :113-116
[5]   A ONE-DIMENSIONAL-MAP MODEL FOR NOISE-INDUCED TRANSITIONS BETWEEN BISTABLE STATES [J].
CELARIER, EA ;
FRASER, S ;
KAPRAL, R .
PHYSICS LETTERS A, 1983, 94 (6-7) :247-250
[6]   ITERATIVE PROPERTIES OF A ONE-DIMENSIONAL QUARTIC MAP - CRITICAL LINES AND TRICRITICAL BEHAVIOR [J].
CHANG, SJ ;
WORTIS, M ;
WRIGHT, JA .
PHYSICAL REVIEW A, 1981, 24 (05) :2669-2684
[7]   BIRHYTHMICITY, CHAOS, AND OTHER PATTERNS OF TEMPORAL SELF-ORGANIZATION IN A MULTIPLY REGULATED BIOCHEMICAL SYSTEM [J].
DECROLY, O ;
GOLDBETER, A .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1982, 79 (22) :6917-6921
[8]  
DEKEPPER P, OSCILLATIONS TRAVELI
[9]   QUASI-PERIODICITY IN DISSIPATIVE SYSTEMS - A RENORMALIZATION-GROUP ANALYSIS [J].
FEIGENBAUM, MJ ;
KADANOFF, LP ;
SHENKER, SJ .
PHYSICA D, 1982, 5 (2-3) :370-386
[10]   QUANTITATIVE UNIVERSALITY FOR A CLASS OF NON-LINEAR TRANSFORMATIONS [J].
FEIGENBAUM, MJ .
JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) :25-52