An iterated implicit complex map

Shaun R. Bullett; Andrew H. Osbaldestin; Ian C. Percival

doi:10.1016/0167-2789(86)90025-4

An iterated implicit complex map

Shaun R. Bullett^*, Andrew H. Osbaldestin, Ian C. Percival

^*Corresponding author for this work

School of Mathematics & Physics

Queen Mary University of London

Research output: Contribution to journal › Article › peer-review

Abstract

Iterated complex maps defined by a root of a biquadratic equation g(z', z) = 0 are studied. Numerical studies suggest conjugacy functions with differentiable natural boundaries and maps having island chains occupying much of the Riemann sphere. An analogy with Hamiltonian systems is discussed.

Original language	English
Pages (from-to)	290-300
Number of pages	11
Journal	Physica D: Nonlinear Phenomena
Volume	19
Issue number	2
DOIs	https://doi.org/10.1016/0167-2789(86)90025-4
Publication status	Published - Mar 1986

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title = "An iterated implicit complex map",

abstract = "Iterated complex maps defined by a root of a biquadratic equation g(z', z) = 0 are studied. Numerical studies suggest conjugacy functions with differentiable natural boundaries and maps having island chains occupying much of the Riemann sphere. An analogy with Hamiltonian systems is discussed.",

author = "Bullett, \{Shaun R.\} and Osbaldestin, \{Andrew H.\} and Percival, \{Ian C.\}",

year = "1986",

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AU - Percival, Ian C.

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AB - Iterated complex maps defined by a root of a biquadratic equation g(z', z) = 0 are studied. Numerical studies suggest conjugacy functions with differentiable natural boundaries and maps having island chains occupying much of the Riemann sphere. An analogy with Hamiltonian systems is discussed.

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DO - 10.1016/0167-2789(86)90025-4

M3 - Article

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

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An iterated implicit complex map

Abstract

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