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Analysis of unstable periodic orbits and chaotic orbits in the one-dimensional linear piecewise-smooth discontinuous map
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
Analysis of unstable periodic orbits and chaotic orbits in the one-dimensional linear piecewise-smooth discontinuous map
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| Creator |
RAJPATHAK, B
PILLAI, HK BANDYOPADHYAY, S |
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| Subject |
BORDER-COLLISION BIFURCATIONS
SYSTEMS |
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| Description |
In this paper, we analytically examine the unstable periodic orbits and chaotic orbits of the 1-D linear piecewise-smooth discontinuous map. We explore the existence of unstable orbits and the effect of variation in parameters on the coexistence of unstable orbits. Further, we show that this structuring is different from the well known period adding cascade structure associated with the stable periodic orbits of the same map. Further, we analytically prove the existence of chaotic orbit for this map. (C) 2015 AIP Publishing LLC.
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| Publisher |
AMER INST PHYSICS
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| Date |
2016-01-15T07:44:41Z
2016-01-15T07:44:41Z 2015 |
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| Type |
Article
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| Identifier |
CHAOS, 25(10)
1054-1500 1089-7682 http://dx.doi.org/10.1063/1.4929382 http://dspace.library.iitb.ac.in/jspui/handle/100/18082 |
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| Language |
en
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