The stability of the equilibrium for a perturbed asymmetric oscillator

Xiong Li

doi:10.3934/cpaa.2006.5.515

Article Contents

2006, Volume 5, Issue 3: 515-528. Doi: 10.3934/cpaa.2006.5.515

This issue Previous Article A boundary point lemma for Black-Scholes type operators Next Article Nonlocal Cauchy problems for nonautonomous evolution equations

The stability of the equilibrium for a perturbed asymmetric oscillator

Xiong Li^1,

1.
Department of Mathematical Sciences, Beijing Normal University, Beijing 100875

Received: June 2005

Revised: February 2006

Published: September 2006

Abstract Related Papers Cited by

Abstract

In this paper we will derive some stability criteria for the equilibrium of a perturbed asymmetric oscillator

$\ddot x + a^+ x^+ - a^-$$ x^-$ $+ b(t)x^2+r(t,x)=0,$

where $a^+,a^-$ are two different positive numbers, $b(t)$ is a $2\pi$-periodic function, and the remaining term $r(t,x)$ is $2\pi$-periodic with respect to the time $t$ and dominated by the power $x^3$ in a neighborhood of the equilibrium $x=0$.

Keywords:

Mathematics Subject Classification: 34D20; 34C15; 37J40.

Citation:

Article Metrics

HTML views() PDF downloads(66) Cited by(0)

The stability of the equilibrium for a perturbed asymmetric oscillator

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

The stability of the equilibrium for a perturbed asymmetric oscillator

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content