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The complex parameter space of a two-mode oscillator model
Szabolcs Horváta, Zoltán Nédab✉
- aInterdisciplinary Center for Network Science and Applications (iCeNSA), Departments of Physics, Computer Science and Engineering, University of Notre Dame, Notre Dame, IN, 46556, USA
- bBabeş–Bolyai University, Department of Theoretical and Computational Physics, str. Kogălniceanu, nr. 1, 400084 Cluj-Napoca, Romania
- ✉Corresponding author
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Abstract
The phase-space of a simple synchronization model is thoroughly investigated. The model considers two-mode stochastic oscillators, coupled through a pulse-like interaction controlled by simple optimization rules. A complex phase space is uncovered as a function of two relevant model parameters that are related to the optimization threshold and the periods of the two oscillation modes. Several phases with different periodic global output signals are identified. It is shown that the system exhibits partial synchronization under unexpectedly general conditions. Submitted to: New J. Phys.