Nonlinear oscillation of a charge in an electric field of two charged spheres

W. P. Sun; B. S. Wu; C. W. Lim

doi:10.1007/s40435-013-0013-1

Nonlinear oscillation of a charge in an electric field of two charged spheres

W. P. Sun, B. S. Wu, C. W. Lim^*

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

Abstract

The nonlinear oscillation of a charge placed on a finite conducting wire along the axis of two charged spheres is studied. The oscillation may be in a symmetric or asymmetric single potential well and it is of strong nonlinearity. Based on a new expression of the control equation of motion, analytical approximate periods and periodic solutions are established by using the linearized harmonic balance method. Excellent agreement of the approximate periods and periodic solutions with reference to numerical integration solutions obtained from exact expressions has been demonstrated for small as well as large oscillation amplitude.

Original language	English
Pages (from-to)	129-134
Journal	International Journal of Dynamics and Control
Volume	1
Issue number	2
DOIs	https://doi.org/10.1007/s40435-013-0013-1
Publication status	Published - 1 Jun 2013

Research Keywords

Analytical approximation
Asymmetric oscillations
Charged spheres
Restoring force
Strong nonlinearity
Symmetric

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title = "Nonlinear oscillation of a charge in an electric field of two charged spheres",

abstract = "The nonlinear oscillation of a charge placed on a finite conducting wire along the axis of two charged spheres is studied. The oscillation may be in a symmetric or asymmetric single potential well and it is of strong nonlinearity. Based on a new expression of the control equation of motion, analytical approximate periods and periodic solutions are established by using the linearized harmonic balance method. Excellent agreement of the approximate periods and periodic solutions with reference to numerical integration solutions obtained from exact expressions has been demonstrated for small as well as large oscillation amplitude.",

keywords = "Analytical approximation, Asymmetric oscillations, Charged spheres, Restoring force, Strong nonlinearity, Symmetric",

author = "Sun, {W. P.} and Wu, {B. S.} and Lim, {C. W.}",

year = "2013",

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TY - JOUR

T1 - Nonlinear oscillation of a charge in an electric field of two charged spheres

AU - Sun, W. P.

AU - Wu, B. S.

AU - Lim, C. W.

PY - 2013/6/1

Y1 - 2013/6/1

N2 - The nonlinear oscillation of a charge placed on a finite conducting wire along the axis of two charged spheres is studied. The oscillation may be in a symmetric or asymmetric single potential well and it is of strong nonlinearity. Based on a new expression of the control equation of motion, analytical approximate periods and periodic solutions are established by using the linearized harmonic balance method. Excellent agreement of the approximate periods and periodic solutions with reference to numerical integration solutions obtained from exact expressions has been demonstrated for small as well as large oscillation amplitude.

AB - The nonlinear oscillation of a charge placed on a finite conducting wire along the axis of two charged spheres is studied. The oscillation may be in a symmetric or asymmetric single potential well and it is of strong nonlinearity. Based on a new expression of the control equation of motion, analytical approximate periods and periodic solutions are established by using the linearized harmonic balance method. Excellent agreement of the approximate periods and periodic solutions with reference to numerical integration solutions obtained from exact expressions has been demonstrated for small as well as large oscillation amplitude.

KW - Analytical approximation

KW - Asymmetric oscillations

KW - Charged spheres

KW - Restoring force

KW - Strong nonlinearity

KW - Symmetric

UR - http://www.scopus.com/inward/record.url?scp=84975246138&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84975246138&origin=recordpage

U2 - 10.1007/s40435-013-0013-1

DO - 10.1007/s40435-013-0013-1

M3 - RGC 22 - Publication in policy or professional journal

SN - 2195-268X

VL - 1

SP - 129

EP - 134

JO - International Journal of Dynamics and Control

JF - International Journal of Dynamics and Control

IS - 2

ER -

Nonlinear oscillation of a charge in an electric field of two charged spheres

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Research Keywords

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