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IJAMR International Journal of Applied Mathematical Research E-ISSN 2227-4324

Spatiotemporal dynamics in a complex network of two dimensional logistic maps

Authors and Affiliations

  • Santinath Pal Tantigeria High School
  • Anindita Tarai

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Abstract

We investigate the spatiotemporal dynamics of two dimensional logisticmaps in complex ring network. The local on site map is chosen as the fully chaotic twospecies logistic map. Species of different nodes interact with symbiosis, predator-prey andcompetition. We study synchronization behaviour of the ring network under the abovethree types of interactions. We investigated the effect of varying coupling strength keep-ing rewiring probability p fixed. Interesting observations are presented with figures.

Author Biography

  • Santinath Pal, Tantigeria High School

     

     

     

     

     

    Mathematics

References

[1] S. Boccaletti, V. Latora, Y. Moreno, M. Chavez and D.U. Hwang, Complex Networks: Structure and dynamics, Phys. Reports 424 (2006) 175- 308.

[2] S. Poria, M.D. Srimali, S. Sinha, Enhancement of spatiotemporal regularity in an optimal window of random coupling, Phys. Rev. E 78, 035201R (2008).

[3] D.J. Watts and S.H. Strogatz, Collective dynamics of small-world networks, Nature (London) 393 (1998) 440-442.

[4] R.Lopez-Ruiz and D.Fournier-Prunaret, Three Logistic models for the two species interaction: Symbiosis,Predator-prey and Competition, Nonlinear Science 0406020v1 (2004).

[5] S.Pal and S.Poria, Spatiotemporal Dynamics of Coupled Ikeda Maps Over a Ring Network, International Journal of Applied Mathematical Research, 1 (4) (2012) 383-390.


How to Cite

Pal, S., & Tarai, A. (2012). Spatiotemporal dynamics in a complex network of two dimensional logistic maps. International Journal of Applied Mathematical Research, 1(4), 604-610. https://doi.org/10.14419/ijamr.v1i4.357