title: Jittering waves in rings of pulse oscillators.
abstract: Rings of oscillators with delayed pulse coupling are studied analytically, numerically, and experimentally. The basic regimes observed in such rings are rotating waves with constant interspike intervals and phase lags between the neighbors. We show that these rotating waves may destabilize leading to the so-called jittering waves. For these regimes, the interspike intervals are no more equal but form a periodic sequence in time. Analytic criterion for the emergence of jittering waves is derived and confirmed by the numerical and experimental data. The obtained results contribute to the hypothesis that the multijitter instability is universal in systems with pulse coupling.
authors: Institute of Applied Physics of the Russian Academy of Sciences, 46 Ul'yanova Street, 603950, Nizhny Novgorod, Russia.
authors: Vladimir
authors: V
authors: Klinshov
authors: Institute of Applied Physics of the Russian Academy of Sciences, 46 Ul'yanova Street, 603950, Nizhny Novgorod, Russia.
authors: Dmitry
authors: D
authors: Shchapin
authors: Technical University of Berlin, Institute of Mathematics, Straße des 17. Juni 136, 10623 Berlin.
authors: Serhiy
authors: S
authors: Yanchuk
authors: Institute of Applied Physics of the Russian Academy of Sciences, 46 Ul'yanova Street, 603950, Nizhny Novgorod, Russia.|University of Nizhny Novgorod, 23 Prospekt Gagarina, 603950, Nizhny Novgorod, Russia.
authors: Vladimir
authors: V
authors: Nekorkin