Harmonic balance approach to limit cycles for nonlinear jerk equations

被引：66

作者：

Gottlieb, H. P. W. ^{[1
]}

机构：

[1] Griffith Univ, Sch Sci, Nathan, Qld 4111, Australia

来源：

JOURNAL OF SOUND AND VIBRATION | 2006年 / 297卷 / 1-2期

关键词：

Harmonic analysis;

D O I：

10.1016/j.jsv.2006.03.047

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The method of harmonic balance (HB) is employed to estimate the attributes of limit cycles of some nonlinear third-order (jerk) differential equations which are parity-invariant but not time-reversal -invariant. Two examples with cubic nonlinearities show that the HB method can give good values for the frequency and both the velocity and displacement amplitudes of a period one limit cycle. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：243 / 250

页数：8

共 7 条

[1]

AGUIRREGABIRIA JM, 1994, ODE WORKBENCH PC VER

[2] Harmonic balance approach to periodic solutions of non-linear jerk equations [J].

Gottlieb, HPW .

JOURNAL OF SOUND AND VIBRATION, 2004, 271 (3-5) :671-683

[3] What is the simplest dissipative chaotic jerk equation which is parity invariant? [J].

Malasoma, JM .

PHYSICS LETTERS A, 2000, 264 (05) :383-389

[4]

Mickens RE, 1996, OSCILLATIONS PLANAR

[5]

Mulholland R.J., 1971, INT J NONLIN MECH, V6, P279

[6]

Sprott J. C., 2003, CHAOS TIME SERIES AN

[7]

von Karman T., 1940, Mathematical Methods in Engineering

← 1 →