2015/04/11 by V. K. Chandrasekar, Chandrasekar, V. K., R. Suresh +5
Environmental Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Ecosystem dynamics and resilience #FOS: Physical sciences #Space Science and Extraterrestrial Life
paper · pdf · doi:10.48550/arxiv.1504.02857
openalex publication_date 2015/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A common external forcing can cause a saddle-node bifurcation in an ensemble of identical Duffing oscillators by breaking the symmetry of the individual bistable (double-well) unit. The strength of the forcing determines the separation between the saddle and node, which in turn dictates different dynamical transitions depending on the distribution of the initial states of the oscillators. In particular, chimera-like states appear in the vicinity of the saddle-node bifurcation for which theoretical explanation is provided from the stability of slow-scale dynamics of the original system of equations. Further, as a consequence, it is shown that even a linear nearest neighbor coupling can lead to the manifestation of the chimera states in an ensemble of identical Duffing oscillators in the presence of the common external forcing.