Hilda A Cerdeira
Articles written in Indian Academy of Sciences Conference Series
Volume 1 Issue 1 December 2017 pp v-vi Proceedings of the Conference on Perspectives in Nonlinear Dynamics - 2016
Volume 1 Issue 1 December 2017 pp 195-203 Proceedings of the Conference on Perspectives in Nonlinear Dynamics - 2016
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.
Volume 3 All articles Published: December 2020 Article ID 0000
PNLD 2019, the sixth of the Perspectives in Nonlinear Dynamics conferences, was held in São Paulo, Brazil from July 16 to July 19, 2019 as a satellite to STATPHYS 27 that was held the preceding week in Buenos Aires, Argentina. The venue for the meeting was ICTP-SAIFR, the South American Institute for Fundamental Research of the ICTP which is housed on the campus of the São Paulo State University (UNESP) at the Instituto de Física Teórica (IFT-UNESP).