NONLINEAR RLC CIRCUITS AND IMPLICIT ODES

被引：0

作者：

Battelli, Flaviano ^{[1
]}

Feckan, Michal ^{[2
,3
]}

机构：

[1] Marche Polytecn Univ, Dept Ind Engn & Math Sci, I-60131 Ancona, Italy

[2] Comenius Univ, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia

[3] Slovak Acad Sci, Inst Math, Bratislava 81473, Slovakia

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2014年 / 27卷 / 7-8期

关键词：

DIFFERENTIAL-ALGEBRAIC EQUATIONS; EXPONENTIAL DICHOTOMIES; IMPASSE POINTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply dynamical system methods and Melnikov theory to study small amplitude perturbation of some implicit differential equations exhibiting I-singularities (in the sense given in [16, p. 166]). In particular, we show persistence of such I-singularities and orbits connecting them in finite time provided a Melnikov like condition holds. We start from a concrete example where, we prove that this Melnikov condition actually holds. Then, we extend our results to more general implicit differential equations.

引用

页码：671 / 690

页数：20

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