Recurrence is a fundamental property of dynamical systems, which can be exploited to
characterise the system's behaviour in phase space. A powerful tool for their visualisation …

Recurrence plots and recurrence quantification analysis have become popular in the last
two decades. Recurrence based methods have on the one hand a deep foundation in the …

In the last two decades recurrence plots (RPs) were introduced in many different scientific
disciplines. It turned out how powerful this method is. After introducing approaches of …

Nonlinear time series analysis gained prominence from the late 1980s on, primarily because
of its ability to characterize, analyze, and predict nontrivial features in data sets that stem …

There is growing evidence that nonlinear time series analysis techniques can be used to
successfully characterize, classify, or process signals derived from real-world dynamics …

The Belousov–Zhabotinsky phenomenon is analyzed in a framework where the dynamics of
dissipative structures outlined by Prigogine is implemented through the collective dynamics …

Real-world non-autonomous systems are open, out-of-equilibrium systems that evolve in
and are driven by temporally varying environments. Such systems can show multiple …

This paper studies a novel recurrent neural network (RNN) with hyperbolic secant (sech) in
the gate for a specific medical application task of Parkinson's disease (PD) detection. In …

In this work, transient chaos in a ring and globally coupled system of nearly conservative
Hamiltonian Duffing oscillators is reported. The networks are formed by coupling of three …

The paper investigates changes in determinism of undamaged and cracked aluminium
plates with respect to excitation frequencies. Harmonic excitation of frequencies …