Investigating the dynamics of a network of oscillatory systems is a timely and urgent topic.
Phase synchronization has proven paradigmatic to study emergent collective behavior …

The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

Chaotic dynamics are thought to be rare in natural populations but this may be due to
methodological and data limitations, rather than the inherent stability of ecosystems …

In this paper, the Benettin–Wolf algorithm to determine all Lyapunov exponents for a class of
fractional-order systems modeled by Caputo's derivative and the corresponding Matlab code …

Animal behaviour is often quantified through subjective, incomplete variables that mask
essential dynamics. Here, we develop a maximally predictive behavioural-state space from …

Theta-nested gamma oscillations have been reported in many areas of the brain and are
believed to represent a fundamental mechanism to transfer information across spatial and …

Understanding the phenomenon of rogue wave formation, often called extreme waves, in
diverse branches of nonlinear science has become one of the most attractive domains …

The Rabinovich system, describing the process of interaction between waves in plasma, is
considered. It is shown that the Rabinovich system can exhibit a hidden attractor in the case …

Real-world systems can be strongly influenced by time delays occurring in self-coupling
interactions, due to unavoidable finite signal propagation velocities. When the delays …

A new multi-wing chaotic system with some unusual properties is reported in this paper.
Here, the number of wings and the amplitude of the chaotic attractor depend on (i) …