8 citations · 22 across the 5 of their papers we have counts for
5 papers
Phase reduction explains chimera shape: when multi-body interaction matters
Erik T. K. Mau, Oleh E. Omel'chenko, Michael Rosenblum
We present an extension of the Kuramoto-Sakaguchi model for networks, deriving the second-order phase approximation for a paradigmatic model of oscillatory networks - an ensemble o…
High-order phase reduction for coupled 2D oscillators
Erik T. K. Mau, Michael Rosenblum, Arkady Pikovsky
Phase reduction is a general approach to describe coupled oscillatory units in terms of their phases, assuming that the amplitudes are enslaved. For such a reduction, the coupling…
Desynchronizing two oscillators while stimulating and observing only one
Erik T. K. Mau, Michael Rosenblum
Synchronization of two or more self-sustained oscillators is a well-known and studied phenomenon, appearing both in natural and designed systems. In some cases, the synchronized st…
Inferring oscillator's phase and amplitude response from a scalar signal exploiting test stimulation
Rok Cestnik, Erik T. K. Mau, Michael Rosenblum
The phase sensitivity curve or phase response curve (PRC) quantifies the oscillator's reaction to stimulation at a specific phase and is a primary characteristic of a self-sustaine…
Optimizing charge-balanced pulse stimulation for desynchronization
Erik T. K. Mau, Michael Rosenblum
Collective synchronization in a large population of self-sustained units appears both in natural and engineered systems. Sometimes this effect is in demand, while in some cases, it…