2002/08/26 by S. I. Simdyankin, Normand Mousseau, E. Raymond Hunt +1 · 1 citation
Mathematics · Neuroscience · Physics and Astronomy · #Chaos control and synchronization #Chaotic #Characterization (materials science) #Computer science #Exponential decay #Exponential distribution #Exponential function #Exponential type #Materials science #Mathematical analysis #Mathematics #Neural dynamics and brain function #Optics #Physics #Quantum mechanics #Range (aeronautics) #Relaxation (psychology) #Statistical physics #Theoretical and Computational Physics #Trap (plumbing) #cond-mat
paper · pdf · doi:10.1103/physreve.66.066205
published as Phys. Rev. E 66, 066205 (2002) · 8 pages, 8 figures
arxiv created 2002/08/26 · openalex publication_date 2002/12/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Stretched-exponential distributions and relaxation responses are encountered in a wide range of physical systems such as glasses, polymers, and spin glasses. As found recently, this type of behavior occurs also for the distribution function of a certain trap time in a number of coupled dynamical systems. We analyze a one-dimensional mathematical model of coupled chaotic oscillators that reproduces an experimental setup of coupled diode resonators and identify the necessary ingredients for stretched-exponential distributions.