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math.DS2012★ 14 cited
Analysis of Stable Periodic Orbits in the 1-D Linear Piecewise-smooth Discontinuous Map
Bhooshan Rajpathak, Harish Pillai, Santanu Bandyopadhyay
In this paper we consider a one dimensional liner piecewise-smooth discontinuous map. It is well known that stable periodic orbits exist in this type of map for a specific paramete…
math.DS2011
Analysis of Stable Periodic Orbits in 1-D Linear Piecewise Smooth Maps
Bhooshan Rajpathak, Harish K. Pillai, Santanu Bandopadhyay
By varying a parameter of a one-dimensional piecewise smooth map, stable periodic orbits are observed. In this paper, complete analytic characterization of these stable periodic or…