Semi-parabolic Bifurcations in Complex Dimension Two
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DOI: 10.1007/s00220-017-2832-y
Abstract: Parabolic bifurcations in one complex dimension demonstrate a wide variety of interesting dynamical phenomena. In this paper we consider the bifurcations of a holomorphic diffeomorphism in two complex dimensions with a semi-parabolic, semiattracting fixed point. read more here.
Keywords: bifurcations complex; dimension two; semi parabolic; complex dimension ... See more keywords
A structure theorem for semi-parabolic Hénon maps
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DOI: 10.1016/j.aim.2019.05.001
Abstract: Consider the parameter space $\mathcal{P}_{\lambda}\subset \mathbb{C}^{2}$ of complex H\'enon maps $$ H_{c,a}(x,y)=(x^{2}+c+ay,ax),\ \ a\neq 0 $$ which have a semi-parabolic fixed point with one eigenvalue $\lambda=e^{2\pi i p/q}$. We give a characterization of those H\'enon… read more here.
Keywords: semi parabolic; julia set; structure theorem; parabolic non ... See more keywords
Magneto-optical properties of semi-parabolic plus semi-inverse squared quantum wells
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DOI: 10.1016/j.physb.2018.04.015
Abstract: Abstract We theoretically study the optical absorption in a quantum well with the semi-parabolic potential plus the semi-inverse squared potential (SPSIS) in the presence of a static magnetic field in which both one- and two-photon… read more here.
Keywords: absorption; semi inverse; plus semi; semi parabolic ... See more keywords
Two-photon induced magneto-optical absorption in finite semi-parabolic quantum wells
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DOI: 10.1016/j.spmi.2019.05.014
Abstract: Abstract We theoretically study the magneto-optical absorption in a GaAs/Ga 1 − s Al s As finite semi-parabolic quantum well where the two-photon process and electron–LO-phonon interaction have been included. The energy separation increases with… read more here.
Keywords: finite semi; semi parabolic; magneto optical; optical absorption ... See more keywords