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      https://www.ias.ac.in/article/fulltext/conf/001/01/0195-0203

    • Keywords

       

      Splay states; chimera states; coupled map lattice

    • Abstract

       

      We show the existence and stability of frozen splay states as well as temporally chaotic splay states in a coupled sine circle map lattice system using analytic and numerical techniques. The splay states are observed for very low values of the nonlinearity parameter, i.e., for circle maps which deviate very slightly from the shift map case. We also observe that, depending on the parameters of the system, the splay states bifurcate to mixed or chimera splay states, consisting of a mixture of splay and synchronised states, together with kinks in the phases of some of the maps and then to a globally synchronised state. We estimate the parameter regions where these pure states and the mixed states are seen. We also briefly show that similar spatial splay structures can exist in experimentally realisable systems like Josephson junction arrays and Hartley-like oscillator arrays.

      PACS Nos 12.60.Jv; 12.10.Dm; 98.80.Cq; 11.30.Hv

    • Author Affiliations

       

      JOYDEEP SINGHA1 VALERIE TCHUYANG2 PATRICK LOUODOP2 3 ROBERT TCHITNGA2 HILDA A CERDEIRA3 NEELIMA GUPTE1

      1. Department of Physics, Indian Institute of Technology Madras, Chennai 600036, India
      2. Department of Physics, University of Dschang Cameroon
      3. São Paulo State University (UNESP), Instituto de Física Teórica, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, 01140-070 São Paulo, Brazil
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  • Indian Academy of Sciences
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