Please use this identifier to cite or link to this item: https://doi.org/10.1142/S0218127406015532
Title: On the periodicity of an implicit difference equation with discontinuity: Analysis and simulations
Authors: Xu, J.-X. 
Pan, Y.-J.
Yan, R.
Zhang, W.
Keywords: Asymptotically stable
Attracting cycle
Discontinuity
Implicit difference equation
Periodic solution
Issue Date: May-2006
Source: Xu, J.-X.,Pan, Y.-J.,Yan, R.,Zhang, W. (2006-05). On the periodicity of an implicit difference equation with discontinuity: Analysis and simulations. International Journal of Bifurcation and Chaos 16 (5) : 1599-1608. ScholarBank@NUS Repository. https://doi.org/10.1142/S0218127406015532
Abstract: In this note we analyze the periodicity of an implicit nonlinear difference equation subject to perturbations and discontinuity. We prove the existence of multiple periodic solutions under certain conditions, and derive the periods which are functions of the sampling period and the period of the perturbation. In this work, we further present a simulation algorithm which enables the computation of the solution for the implicit difference equation in an iterative manner. The Van der Pol circuit is used as an illustrative example. © World Scientific Publishing Company.
Source Title: International Journal of Bifurcation and Chaos
URI: http://scholarbank.nus.edu.sg/handle/10635/56900
ISSN: 02181274
DOI: 10.1142/S0218127406015532
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

3
checked on Dec 13, 2017

WEB OF SCIENCETM
Citations

2
checked on Nov 5, 2017

Page view(s)

20
checked on Dec 16, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.