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|Title:||On the periodicity of an implicit difference equation with discontinuity: Analysis and simulations|
|Authors:||Xu, J.-X. |
Implicit difference equation
|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|
|Appears in Collections:||Staff Publications|
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