Inwards propagating waves in a limit cycle medium

被引:12
作者
Rabinovitch, A [1 ]
Gutman, M [1 ]
Aviram, I [1 ]
机构
[1] Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel
关键词
D O I
10.1103/PhysRevLett.87.084101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The existence of a novel inwards propagating wave motion is demonstrated in a limit-cycle medium both for the FitzHugh-Nagumo and for modified Chernyak-Starobin-Cohen reaction-diffusion systems. The waves (pulses) are seen to be moving "backwards," that is, towards the point where the triggering pulse was initiated, instead of the regular propagation away from the origin. The feasibility of the phenomenon and some of its features are analyzed.
引用
收藏
页码:84101 / 1
页数:4
相关论文
共 18 条
[1]   Where do dispersion curves end? A basic question in theory of excitable media [J].
Chernyak, YB ;
Starobin, JM ;
Cohen, RJ .
PHYSICAL REVIEW E, 1998, 58 (04) :R4108-R4111
[2]  
Duffing G, 1918, ERZWUNGENE SCHWINGUN, Patent No. [Braunschweig41/42, 4241]
[3]   IMPULSES AND PHYSIOLOGICAL STATES IN THEORETICAL MODELS OF NERVE MEMBRANE [J].
FITZHUGH, R .
BIOPHYSICAL JOURNAL, 1961, 1 (06) :445-&
[4]  
Glass L., 1988, CLOCKS CHAOS RHYTHMS, DOI [10.1515/9780691221793, DOI 10.1515/9780691221793]
[5]   NONLINEAR OSCILLATIONS AND CHAOS IN CDS SINGLE-CRYSTALS UNDER TEMPERATURE ELECTRIC INSTABILITY CONDITIONS [J].
GOLIK, LL ;
GUTMAN, MM ;
PAKSEEV, VE .
PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1990, 162 (01) :199-211
[6]   PATTERN-FORMATION IN NONGRADIENT REACTION-DIFFUSION SYSTEMS - THE EFFECTS OF FRONT BIFURCATIONS [J].
HAGBERG, A ;
MERON, E .
NONLINEARITY, 1994, 7 (03) :805-835
[7]   PARTIAL-DIFFERENTIAL EQUATIONS IN ECOLOGY - SPATIAL INTERACTIONS AND POPULATION-DYNAMICS [J].
HOLMES, EE ;
LEWIS, MA ;
BANKS, JE ;
VEIT, RR .
ECOLOGY, 1994, 75 (01) :17-29
[8]  
Kapral R., 1995, CHEM WAVES PATTERNS
[9]  
Landa P. S., 1996, NONLINEAR OSCILLATIO
[10]  
LANDA PS, 1992, CHAOTIC OSCILLATORS