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Dynamics of Julia Sets for Complex Exponential Functions

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Mathematical Modelling and Scientific Computation (ICMMSC 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 283))

Abstract

The Julia sets play an important role in the study of the complex analytic dynamics of functions. In this paper we study the patterns of Julia sets associated with complex exponential functions E λ (Z) = λez using Ishikawa iterative schemes. The bifurcation analysis of such maps is also discussed for the Mann iterates of the function.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector-62, Noida, UP, 201307, India

    Bhagwati Prasad & Kuldip Katiyar

Authors
  1. Bhagwati Prasad
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  2. Kuldip Katiyar
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Gandhigram Rural University, 624302, Gandhigram, Tamil Nadu, India

    P. Balasubramaniam

  2. Department of Mathematics, Gandhigram Rural Institute - Deemed University, 624302, Gandhigram, Tamil Nadu, India

    R. Uthayakumar

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Prasad, B., Katiyar, K. (2012). Dynamics of Julia Sets for Complex Exponential Functions. In: Balasubramaniam, P., Uthayakumar, R. (eds) Mathematical Modelling and Scientific Computation. ICMMSC 2012. Communications in Computer and Information Science, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28926-2_19

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  • DOI: https://doi.org/10.1007/978-3-642-28926-2_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28925-5

  • Online ISBN: 978-3-642-28926-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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