THE NONLINEAR DYNAMICS OF THE DAMPED AND DRIVEN TODA CHAIN .3. CLASSIFICATION OF THE NONLINEAR RESONANCES AND LOCAL BIFURCATIONS

被引：6
|
作者：
GEIST, K [1 ]
LAUTERBORN, W [1 ]
机构：
[1] TH DARMSTADT,INST ANGEW PHYS,W-6100 DARMSTADT,GERMANY
来源：
PHYSICA D | 1991年 / 52卷 / 2-3期
关键词：
D O I：
10.1016/0167-2789(91)90145-Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dynamics of damped and driven Toda chains is investigated. It is shown that the resonance and bifurcation scenario of alternating saddle-node and period-doubling bifurcations presented in the first part of this series on the nonlinear dynamics of the damped and driven Toda chain [Physica D 31 (1988) 103-116] can be explained by the specific structure of the eigenvalue spectrum of the associated linearized flow map D(x)phi-t\SIGMA.
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页码：551 / 559
页数：9
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