EFFECTS OF COUPLING NONLINEAR-SYSTEMS WITH COMPLEX DYNAMICS

被引：8

作者：

BADOLA, P ^{[1
]}

KUMAR, VR ^{[1
]}

KULKARNI, BD ^{[1
]}

机构：

[1] NATL CHEM LAB,POONA 411008,MAHARASHTRA,INDIA

来源：

PHYSICS LETTERS A | 1991年 / 155卷 / 6-7期

关键词：

D O I：

10.1016/0375-9601(91)91041-B

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Dynamic behavior of coupled cells, each of which is exhibiting a complex pattern, has been studied as a function of a coupling parameter for a simple model system. Coupling of cells with different dynamics for different cases show a generalized feature, namely, presence of a hyperchaotic regime at low coupling strengths followed by a periodic window at intermediate values followed by synchronization in a chaotic state. The interesting observation of complete synchronization of individual cells even when the coupled dynamics show chaos is of considerable significance.

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页码：365 / 372

页数：8

相关论文

共 20 条

[1] MAXIMUM HYPERCHAOS IN GENERALIZED HENON MAPS [J].

BAIER, G ;

KLEIN, M .

PHYSICS LETTERS A, 1990, 151 (6-7) :281-284

[2] COHERENCE, CHAOS, AND BROKEN SYMMETRY IN CLASSICAL, MANY-BODY DYNAMIC-SYSTEMS [J].

BOHR, T ;

GRINSTEIN, G ;

HE, Y ;

JAYAPRAKASH, C .

PHYSICAL REVIEW LETTERS, 1987, 58 (21) :2155-2158

[3] STABILITY AND LYAPUNOV STABILITY OF DYNAMIC-SYSTEMS - A DIFFERENTIAL APPROACH AND A NUMERICAL-METHOD [J].

GOLDHIRSCH, I ;

SULEM, PL ;

ORSZAG, SA .

PHYSICA D, 1987, 27 (03) :311-337

[4]

HADLEY P, 1989, PHYS REV LETT, V62, P1335

[5]

Haken H., 1983, ADV SYNERGETICS

[6]

HERZEL H, 1987, Z NATURFORSCH A, V42, P136

[7] PERIOD-DOUBLING OF KINK-ANTIKINK PATTERNS, QUASIPERIODICITY IN ANTIFERRO-LIKE STRUCTURES AND SPATIAL INTERMITTENCY IN COUPLED LOGISTIC LATTICE - TOWARDS A PRELUDE OF A FIELD-THEORY OF CHAOS [J].

KANEKO, K .

PROGRESS OF THEORETICAL PHYSICS, 1984, 72 (03) :480-486

[8] CHAOTIC BUT REGULAR POSI-NEGA SWITCH AMONG CODED ATTRACTORS BY CLUSTER-SIZE VARIATION [J].

KANEKO, K .

PHYSICAL REVIEW LETTERS, 1989, 63 (03) :219-223

[9] CLUSTERING, CODING, SWITCHING, HIERARCHICAL ORDERING, AND CONTROL IN A NETWORK OF CHAOTIC ELEMENTS [J].

KANEKO, K .

PHYSICA D, 1990, 41 (02) :137-172

[10] TRANSITION FROM TORUS TO CHAOS ACCOMPANIED BY FREQUENCY LOCKINGS WITH SYMMETRY-BREAKING - IN CONNECTION WITH THE COUPLED-LOGISTIC MAP [J].

KANEKO, K .

PROGRESS OF THEORETICAL PHYSICS, 1983, 69 (05) :1427-1442