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- W2011954246 abstract "The stability of periodic orbits under translation and also dilatation (or contraction) of coordinates is analysed using a q-Jacobian. Specifically we analyse the stability of period-1 and period-2 orbits of the quadratic map and show that the dilatation changes the parameter values for which bifurcations take place. The dilatation (|q| > 1) or contraction (|q| < 1) can be used to stabilize (destabilize) the unstable (stable) periodic orbits. In addition, dilatation effects on the stability depend only on the period of the orbit, and not on the location of orbital points in phase-space. This is shown to be true for any period-n orbit of the quadratic map. As a possible practical application, we suggest that the dilatation (contraction) considered here could represent temperature variations in physical systems." @default.
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- W2011954246 date "2010-09-01" @default.
- W2011954246 modified "2023-09-27" @default.
- W2011954246 title "Stability analysis under dilatation of coordinates" @default.
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- W2011954246 doi "https://doi.org/10.1088/1742-6596/246/1/012006" @default.
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