In this paper we address practical aspects of the implementation of the 0–1 test for chaos in
deterministic systems. In addition, we present a new formulation of the test which …

We present a survey of the theory of the Lyapunov Characteristic Exponents (LCEs) for
dynamical systems, as well as of the numerical techniques developed for the computation of …

Written by a team of international experts, Extremes and Recurrence in Dynamical Systems
presents a unique point of view on the mathematical theory of extremes and on its …

We investigate the detailed dynamics of multi-dimensional Hamiltonian systems by studying
the evolution of volume elements formed by unit deviation vectors about their orbits. The …

Chaotic nonlinear systems are systems whose main feature is extreme sensitivity to noise in
the problem or the corresponding initial conditions. In this paper, we examine the chaotic …

The reader can find in the literature a lot of different techniques to study the dynamics of a
given system and also, many suitable numerical integrators to compute them …

In this paper we study different aspects of the paradigmatic Rössler model. We perform a
detailed study of the local and global bifurcations of codimension one and two of limit cycles …

In this paper we study briefly several chaos indicators and we focus our attention on the
recently developed, presenting a numerical scheme for its calculation based on the Taylor …

In order to obtain a system of higher complexity, a new fractional-order chaotic system is
constructed based on the Sprott system. It is noteworthy that the system has no equilibrium …

We compare three methods for computing invariant Lyapunov exponents (LEs) in general
relativity. These methods involve the geodesic deviation vector technique (M1), the two …