Abstract
In this paper we investigate the behavior of a certain very special but nevertheless extremely important and beautiful class of dynamical systems known as entire transcendental functions. We pay special attention to the set of chaotic orbits of this system, the Julia set We show how this set may change its shape dramatically as a parameter varies, and we illustrate this by showing the computer graphics experiments which led to this discovery.
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© 1993 Springer-Verlag Berlin Heidelberg
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Devaney, R.L. (1993). Chaotic Bursts in Complex Dynamical Systems. In: Crilly, A.J., Earnshaw, R.A., Jones, H. (eds) Applications of Fractals and Chaos. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78097-4_12
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DOI: https://doi.org/10.1007/978-3-642-78097-4_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-78099-8
Online ISBN: 978-3-642-78097-4
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