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Semi-parabolic Bifurcations in Complex Dimension Two

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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… Click to show full 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.

Keywords: bifurcations complex; dimension two; semi parabolic; complex dimension; parabolic bifurcations

Journal Title: Communications in Mathematical Physics
Year Published: 2017

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