Identifying nonlinear structures in a time series, acquired from real-world systems, is
essential to characterize the dynamics of the system under study. A single time series alone …

Classical method of Lyapunov exponents spectrum estimation for an-th-order continuous-
time, smooth dynamical system involves Gram–Schmidt orthonormalization and calculations …

To reduce parameter error caused by human factors and ensure the accuracy of the largest
Lyapunov exponent (LLE) obtained from chaotic equations, this paper proposes a simple …

Nowadays, the largest Lyapunov exponent (LLE) is employed in many different areas of the
scientific research. Thus, there is still need to elaborate fast and simple methods of LLE …

Controlling system dynamics with use of the Largest Lyapunov Exponent (LLE) is employed
in many different areas of the scientific research. Thus, there is still need to elaborate fast …

The behavior of systems of coupled nonlinear oscillators and, connected with it, the
synchronization phenomena are of significant interest in many areas of science. One of the …

The amount of information exchanged per unit of time between two nodes in a dynamical
network or between two data sets is a powerful concept for analysing complex systems. This …

Bifurcations are discussed by the criterion of top Lyapunov exponent. Based on the local
map and Kaminski's algorithms, a general formulation of the top Lyapunov exponents is …

This text covers application of Largest Lapunov Exponent (LLE) as a criterion for control
performance assessment (CPA) in a simulated control system. The main task is to find a …

This paper focuses on the applications of the new method of estimation of the Largest
Lyapunov exponent. The method has been adapted to continuous dynamical systems with …