On Periodic Orbits of Trapezoid Maps
Copyright policy ) Shinji Doi;
On Periodic Orbits of Trapezoid Maps
A trapezoid map on the unit interval is defined as follows: \(f(x) = ax\), for \(0 \leq x \leq b\), \(f(x) = ab\), for \(b\leq x \leq 1-b\), \(f(x) = a(1- x)\), for \(1-b \leq x \leq 1\), where \(a\), \(b\) are suitable parameters. For such maps: (1) Stable periodic orbits are characterized in terms of the kneading theory, (2) Regions of parameters where the maps have stable periodic orbits are determined.
- Osaka University Japan
symbolic dynamics, Applied Mathematics, trapezoid map, dynamics of interval maps, Low-dimensional dynamical systems
symbolic dynamics, Applied Mathematics, trapezoid map, dynamics of interval maps, Low-dimensional dynamical systems
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Citations provided by BIP!
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 9
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