Discrete breathers in integrate-and-fire oscillator networks
1 School of Physics, University of Sydney - NSW, 2006, Australia
2 Sydney Medical School, University of Sydney, NSW, 2006, Australia
Received: 9 January 2013
Accepted: 15 April 2013
A number of novel dynamical patterns are found in an integrate-and-fire network, including periodic breathers with single, double, and triple wavefronts, and chaotic breathers. It is found that the periodic breathers always propagate whereas the chaotic ones always remain stationary. A novel route to chaotic breathers through intermittency is identified, as opposed to the paths through quasi-periodicity and period-doubling mostly discussed in dissipative lattice systems. The system is found to display prominent bistability, resulting in “hysteresis” loops in single-oscillator inter-spike intervals as the parameter varies.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 63.20.Pw – Localized modes / 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2013