Periodic travelling waves in chain of nonlinear oscillators linearly coupled

被引：0

作者：

Iooss, G

Kirchgässner, K

机构：

[1] UNSA, CNRS, UMR 6618, Inst Univ France,INLN, F-06560 Valbonne, France

[2] Univ Stuttgart, Inst Math A, D-70569 Stuttgart, Germany

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 327卷 / 09期

关键词：

D O I：

10.1016/S0764-4442(99)80118-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider travelling waves in a chain of nonlinear oscillators, linearly coupled to their nearest neighbors. We show that the "small" solutions are ruled by a reversible O.D.E. anti, Sor a not too large coupling, we show that the "small" solutions constitute a one parameter family of periodic solutions, bifurcating from 0. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：855 / 860

页数：6

共 6 条

[1] Breathers in nonlinear lattices: Existence, linear stability and quantization [J].

Aubry, S .

PHYSICA D-NONLINEAR PHENOMENA, 1997, 103 (1-4) :201-250

[2] EXISTENCE THEOREM FOR SOLITARY WAVES ON LATTICES [J].

FRIESECKE, G ;

WATTIS, JAD .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 161 (02) :391-418

[3]

Kato T., 1966, Perturbation Theory for Linear Operators., DOI [10.1007/978-3-662-12678-3, DOI 10.1007/978-3-662-12678-3]

[4] WAVE-SOLUTIONS OF REVERSIBLE-SYSTEMS AND APPLICATIONS [J].

KIRCHGASSNER, K .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1982, 45 (01) :113-127

[5] PROOF OF EXISTENCE OF BREATHERS FOR TIME-REVERSIBLE OR HAMILTONIAN NETWORKS OF WEAKLY COUPLED OSCILLATORS [J].

MACKAY, RS ;

AUBRY, S .

NONLINEARITY, 1994, 7 (06) :1623-1643

[6]

VANDERBAUWHEDE A, 1992, DYNAMICS REPORTED, V1, P125, DOI 10.1007/978-3-642-61243-5_4

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