Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Nonlinear Dynamics, Synchronizsation and Chaos

DY 43.2: Talk

Thursday, March 23, 2017, 09:45–10:00, ZEU 118

Aging in deterministic classical oscillators — •Darka Labavić and Hildegard Meyer-Ortmanns — Physics and Earth Sciences, Jacobs University Bremen, Bremen, Germany

We study Kuramoto oscillators on small hexagonal lattices with repulsive coupling. Repulsive coupling in combination with the lattice topology makes bonds between individual oscillators frustrated, which induces multistability. In [1] we observe noise-driven migration of oscillatory phases in a rough potential landscape. Upon this migration, a multitude of different escape times from one metastable state to the next is generated. Based on these observations, it does not come as a surprise that the set of oscillators shows physical aging [2]. Here we introduce disorder into the system through a random distribution of natural frequencies, rather than additive or multiplicative Gaussian noise as in [2], so that the system is fully deterministic. Disorder in natural frequencies generates long time scales, observed in transients, and long periods of the order parameter. A typical trajectory of the system consists of a connected set of former (un)stable limit cycles. When our system is quenched from the regime of a unique fixed point towards the regime of multistable solutions, the autocorrelation function depends on the waiting time after the quench, so that time translation invariance is broken. So disorder in the natural frequencies leads to different exploration of the rich attracktor space as compared to noise. [1] F. Ionita, D. Labavić, M. Zaks, and H. Meyer-Ortmanns, Eur. Phys. J. B 86 (12), 511 (2013). [2] F. Ionita and H. Meyer-Ortmanns Phys. Rev. Lett. 112, 094101 (2014).