Supertransient Chaos in a Single and Coupled Liénard Systems.

We report the appearance of supertransient chaos in a single and two-coupled Liénard system with the influence of external periodic force. The existence of transient dynamics in a model is significantly long before it settles into the asymptotic steady state of periodic dynamics understood as supertransient chaos. The two diffusively coupled forced Liénard systems exhibit extremely long transient dynamics when their frequencies of the external forcing are slightly mismatched.

Experimental chaotic synchronization for coupled double pendula.

10.1063/5.0056530.

Transient chimera-like states for forced oscillators.

Chimera states occur widely in networks of identical oscillators as has been shown in the recent extensive theoretical and experimental research. In such a state, different groups of oscillators can exhibit coexisting synchronous and incoherent behaviors despite homogeneous coupling. Here, we consider a star network, in which N identical peripheral end nodes are connected to the central hub node.

Erratum: Sample-based approach can outperform the classical dynamical analysis - experimental confirmation of the basin stability method.

A correction to this article has been published and is linked from the HTML version of this paper. The error has been fixed in the paper.

Sample-based approach can outperform the classical dynamical analysis - experimental confirmation of the basin stability method.

In this paper we show the first broad experimental confirmation of the basin stability approach. The basin stability is one of the sample-based approach methods for analysis of the complex, multidimensional dynamical systems. We show that investigated method is a reliable tool for the analysis of dynamical systems and we prove that it has a significant advantages which make it appropriate for many applications in which classical analysis methods are difficult to apply.