Dynamics of transcendental Hénon maps
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DOI: 10.1007/s00208-018-1643-6
Abstract: The dynamics of transcendental functions in the complex plane has received a significant amount of attention. In particular much is known about the description of Fatou components. Besides the types of periodic Fatou components that… read more here.
Keywords: transcendental non; non maps; fatou components; dynamics transcendental ... See more keywords
Julia sets of complex Hénon maps
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DOI: 10.1142/s0129167x18500477
Abstract: There are two natural definitions of the Julia set for complex Henon maps: the sets J and J⋆. Whether these two sets are always equal is one of the main open questions in the field. We prove… read more here.
Keywords: complex non; julia sets; sets complex; non maps ... See more keywords