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Complex Dynamics of BRD Sets

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Emerging Trends in Science, Engineering and Technology

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

The intent of the paper is to study the dynamics of the Mandelbrot like Baker-Rippon-Devaney (BRD) sets for complex exponential family under Mann iterates.

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References

  1. Prasad B, Katiyar K (2010) Julia sets for a transcendental function. In: Proceedings of the IEEE international conference on computer engineering and technology, Jodhpur, India, pp E59-E61

    Google Scholar 

  2. Prasad B, Katiyar K (2011) Fractals via Ishikawa iteration. In: Balasubramaniam P (ed) ICLICC 2011. CCIS, vol 140. Springer, Heidelberg, pp 197–203

    Google Scholar 

  3. Misiurewicz M (1981) On iterates of \( e^{z} \). Ergod Theor Dyn Syst 1:103–106

    Google Scholar 

  4. Baker N, Rippon PJ (1984) Iteration of exponential functions. Ann Acad Sci Fenn A1(9):49–77

    MathSciNet  Google Scholar 

  5. Devaney RL (1984) Julia set and bifurcation diagrams for exponential maps. Am Math Soc 11:167–171

    Article  MathSciNet  MATH  Google Scholar 

  6. Devaney RL (1992) A first course in chaotic dynamical systems: theory and experiment. Addison-Wesley, Reading

    Google Scholar 

  7. Devaney RL, Henk Broer FT, Hasselblatt B (eds) (2010) Complex exponential dynamics. Elsevier Science vol 3, pp 125–223

    Google Scholar 

  8. Romera M, Pastor G, Alvarez G, Montoya F (2000) Growth in complex exponential dynamics. Comput Graph 24(1):115–131

    Article  MathSciNet  Google Scholar 

  9. Prasad B, Katiyar K (2012) Dynamics of Julia sets for complex exponential functions. In: Balasubramaniam P, Uthayakumar R (eds) ICMMSC 2012. CCIS, vol. 283(19). Springer, Heidelberg, pp 185–192

    Google Scholar 

  10. Barnsley MF (1993) Fractals everywhere, 2nd edn. Revised with the assistance of and a foreword by Hawley Rising, III. Academic Press Professional, Boston

    Google Scholar 

  11. Mann WR (1953) Mean value methods in iteration. Proc Am Math Soc 4(3):506–510

    Article  MATH  Google Scholar 

  12. Peitgen HO, Saupe D (1988) The science of fractal images. Springer, New York

    MATH  Google Scholar 

  13. Baranski B (2007) Trees and hairs for some hyperbolic entire maps of finite order. Math Z 257(1):33–59

    Article  MathSciNet  MATH  Google Scholar 

  14. Schleicher D, Zimmer J (2003) Escaping points of exponential maps. J Lond Math Soc 67(2):380–400

    Article  MathSciNet  MATH  Google Scholar 

  15. Xingyuan W, Qijiang S (2006) Growth in complex exponential dynamics. Appl Math Comput 81(2):816–825

    Article  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

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

    Bhagwati Prasad & Kuldip Katiyar

Authors
  1. Bhagwati Prasad
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  2. Kuldip Katiyar
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Corresponding author

Correspondence to Bhagwati Prasad .

Editor information

Editors and Affiliations

  1. J.J. College of Engg and Technology, Ammapettai, Poolangulathupatti – Post, Tiruchirappalli, 620009, India

    S Sathiyamoorthy

  2. , Dept of Electronics & Communication Engg, J.J. College of Engg and Technology, Ammapettai, Tiruchirappalli, 620009, India

    B. Elizabeth Caroline

  3. , Dept. of Computer Applications, J.J. College of Engg and Technology, Ammapettai, Tiruchirappalli, 620009, India

    J Gnana Jayanthi

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© 2012 Springer India

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Prasad, B., Katiyar, K. (2012). Complex Dynamics of BRD Sets. In: Sathiyamoorthy, S., Caroline, B., Jayanthi, J. (eds) Emerging Trends in Science, Engineering and Technology. Lecture Notes in Mechanical Engineering. Springer, India. https://doi.org/10.1007/978-81-322-1007-8_64

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  • DOI: https://doi.org/10.1007/978-81-322-1007-8_64

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  • Publisher Name: Springer, India

  • Print ISBN: 978-81-322-1006-1

  • Online ISBN: 978-81-322-1007-8

  • eBook Packages: EngineeringEngineering (R0)

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