Adaptive oscillators can learn and encode information in dynamic, plastic states. The
pendulum has recently been proposed as the base oscillator of an adaptive system. In a …

In this paper, the robust stabilization and synchronization of a novel chaotic system are
presented. First, a novel chaotic system is presented in which this system is realized by …

Other than the fully synchronized state, a twisted state can also be an equilibrium solution in
the Kuramoto model and its variations. In the present work, we explore the stability of the …

We consider systems of N particles interacting on the unit circle through 2 π-periodic
potentials. An example is the N-rotor problem that arises as the classical limit of coupled …

In the field of collective dynamics, the Kuramoto model serves as a benchmark for the
investigation of synchronization phenomena. While mean-field approaches and complex …

We propose a modified Kuramoto model to describe the hand-clapping synchronization
observed in a large group of people. There are two different ingredients in our model: The …

In this paper, a second-order coupled Kuramoto oscillators with phase shifts and asymmetric
delays are investigated under an connected directed network topology. By using a singular …