Invariant sets for the varactor equation

被引：14

作者：

Bartuccelli, MV

Deane, JHB ^{[1
]}

Gentile, G

Marsh, L

机构：

[1] Univ Surrey, Dept Math & Stat, Guildford GU2 7XH, Surrey, England

[2] Univ Rome Tre, Dipartimento Matemat, I-00146 Rome, Italy

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2006年 / 462卷 / 2066期

关键词：

invariant sets; nonlinear circuit dynamics;

D O I：

10.1098/rspa.2005.1569

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The differential equation x + y (x) over circle + gamma(x) over circle + x(mu) = f (t) with f (t) positive, periodic and continuous is studied. After describing some physical applications of this equation, we construct a variety of invariant sets for it, thereby partitioning the phase plane into regions in which solutions grow without bound and also those in which bounded periodic solutions exist.

引用

页码：439 / 457

页数：19

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