ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Inwards to Chaos and Complex Mapper: Two Graphical Interfaces for Simulations in Complex Analysis and Dynamic


Alessandro Rosa

Freelance programmer
c/o Locatelli,
Via Cappuccini 116/A,
I-72100 Brindisi, Italy


This article presents the main features of two programs, Inwards to Chaos and Complex Mapper, coded by the author and aiming to support the investigations in complex analysis and dynamics in one complex variable via some techniques differently based upon colors, upon Geometry and Topology. Both programs are built on visual interfaces so that all integrated features can be reach through an easy and intuitive use of windows graphics. All has been customized for a user-friendly focus on the behavior of a given complex system. Their use wants to be flexible and both can be offered as valid tools for researchers and also for teaching courses in complex analysis and dynamics, due to the chance of displaying any user-defined map, because a complete parser handling arithmetic, trigonometry and hyperbolic functions is implemented. Moreover, the user can also count on the support of an on-line and step-by-step help. Inwards to Chaos mainly points to global dynamics, besides developing the chromatic aspects of fractal images in the complex plane, where colors play an enlightening role for the dynamics involved, beside the search for the aesthetic taste. Complex Mapper is more devoted to the investigations on local systems and it focuses on the geometry of the dynamics of maps. This article is simply descriptive and all information about the internals, the algorithms and about the ways they have been coded can be obtained by writing to author's e-mail below.

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