2014/04/30 by Tanmoy Banerjee, Debarati Ghosh
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Amplitude #Chemistry #Condensed matter physics #Coupling (piping) #Field (mathematics) #Limit (mathematics) #Materials science #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Oscillation (cell signaling) #Phase transition #Physics #Quantum electrodynamics #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #State (computer science) #Statistical physics #Transition (genetics) #Van der Pol oscillator #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.89.062902
published as Phys. Rev. E 89(6), 062902, 2014 · 5 pages, 4 figures, Accepted version in Physical Review E
arxiv created 2014/05/23 · openalex publication_date 2014/06/03 · arxiv updated 2014/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We report the experimental evidence of an important transition scenario, namely the transition from amplitude death (AD) to oscillation death (OD) state in coupled limit cycle oscillators. We consider two Van der Pol oscillators coupled through mean-field diffusion and show that this system exhibits a transition from AD to OD, which was earlier shown for Stuart-Landau oscillators under the same coupling scheme [T. Banerjee and D. Ghosh, Phys. Rev. E 89, 052912 (2014)]. We show that the AD-OD transition is governed by the density of mean-field and beyond a critical value this transition is destroyed; further, we show the existence of a nontrivial AD state that coexists with OD. Next, we implement the system in an electronic circuit and experimentally confirm the transition from AD to OD state. We further characterize the experimental parameter zone where this transition occurs. The present study may stimulate the search for the practical systems where this important transition scenario can be observed experimentally.