Signal propagation in complex networks drives epidemics, is responsible for information
going viral, promotes trust and facilitates moral behavior in social groups, enables the …

We consider a generalization of the Kuramoto model in which the oscillators are coupled to
the mean field with random signs. Oscillators with positive coupling are “conformists”; they …

Swarmalators are oscillatory systems endowed with a spatial component, whose spatial and
phase dynamics affect each other. Such systems can demonstrate fascinating collective …

We consider a variant of the Kuramoto model in which all the oscillators are now assumed to
have the same natural frequency, but some of them are negatively coupled to the mean field …

We present a simplified phase model for neuronal dynamics with spike timing-dependent
plasticity (STDP). For asymmetric, experimentally observed STDP we find multistability: a …

Synchronization between limit cycle oscillators can arise through entrainment to an external
drive or through mutual coupling. The interplay between the two mechanisms has been …

Repulsive oscillator networks can exhibit multiple cooperative rhythms, including chimera
and cluster splay states. Yet, understanding which rhythm prevails remains challenging …

Cyclic actuation is critical for driving motion and transport in living systems, ranging from
oscillatory motion of bacterial flagella to the rhythmic gait of terrestrial animals. These …

Compared with wheeled mobile robots, legged robots can easily step over obstacles and
walk through rugged ground. They have more flexible bodies and therefore, can deal with …

We present numerical results for the synchronization phenomena in a bilayer network of
repulsively coupled 2D lattices of van der Pol oscillators. We consider the cases when the …