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On Persistence And Stability Of Coupled Map Lattices

Author

Listed:
  • E. AHMED

    (Mathematics Department, Faculty of Science, Mansoura 35516, Egypt;
    Mathematics Department, Faculty of Science, Al-Ain P.O. Box 17551, UAE)

  • A. S. HEGAZI

    (Mathematics Department, Faculty of Science, Mansoura 35516, Egypt)

Abstract

Linear stability of homogeneous and inhomogeneous steady state solutions for coupled map lattices (CML) are studied. Some persistence problems in CML are discussed and applied to immune and an economic models. The stability results are applied to CML motivated by forced circle map, Winfree model, Josephson junction arrays and an ecological CML model. Global stability results for some CML systems are given.

Suggested Citation

  • E. Ahmed & A. S. Hegazi, 2001. "On Persistence And Stability Of Coupled Map Lattices," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 4(02n03), pages 191-205.
    • Handle: RePEc:wsi:acsxxx:v:04:y:2001:i:02n03:n:s0219525901000176
    DOI: 10.1142/S0219525901000176
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