Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

Dynamics of bidirectionally coupled swarmalators subject to attractive and repulsive
couplings is analyzed. The probability of two elements in different layers being connected …

We study numerically effects of time delay in networks of delay-coupled excitable FitzHugh–
Nagumo systems with dissipation. Generation of periodic self-sustained oscillations and its …

The chimera state, characterized by the coexistence of synchronization and
asynchronization in a network, associates with special brain functions and disorders. This …

We investigate solitary states in a two-layer multiplex network of FitzHugh-Nagumo neurons
in the oscillatory regime. We demonstrate how solitary states can be induced in a multiplex …

We study relay and complete synchronization in a heterogeneous triplex network of discrete-
time chaotic oscillators. A relay layer and two outer layers, which are not directly coupled but …

Despite impressive scientific advances in understanding the structure and function of the
human brain, big challenges remain. A deep understanding of healthy and aberrant brain …

Relay synchronization in complex networks is characterized by the synchronization of
remote parts of the network due to their interaction via a relay. In multilayer networks, distant …

Electrical and chemical synapses shape the dynamics of neural networks, and their
functional roles in information processing have been a longstanding question in …

The heterogeneity among interacting dynamical systems or variations in the pattern of their
interactions occur naturally in many real complex systems. Often they lead to partially …