Chaotic dynamical systems that are symmetric provide the possibility of multistability as well
as an independent amplitude control parameter. The Rössler system is used as a candidate …

Characterizing accurately chaotic behaviors is not a trivial problem and must allow to
determine the properties that two given chaotic invariant sets share or not. The underlying …

In the control of non-linear dynamics, the notion of flatness provides a systematic framework
for analyzing the observability and controllability of a system. Several successful …

A great number of techniques developed for studying nonlinear dynamical systems start with
the embedding of a scalar time series, lying on an m-dimensional object, in an embedding …

The theory of homologies introduces cell complexes to provide an algebraic description of
spaces up to topological equivalence. Attractors in state space can be studied using …

Chaotic attractors are known to often exhibit not only complex dynamics but also a complex
geometry in phase space. In this work, we provide a detailed characterization of chaotic …

Controlling chaos is fundamental in many applications, and for this reason, many techniques
have been proposed to address this problem. Here, we propose a strategy based on an …

This paper reports a generic method for constructing n-fold covers of 3D conservative
chaotic systems, which is derived from the theory of the generalized Hamiltonian system …

Sunspot cycles are widely used for investigating solar activity. In 1953 Bracewell argued that
it is sometimes desirable to introduce the inversion of the magnetic field polarity, and that …

When the state of the whole reaction network can be inferred by just measuring the
dynamics of a limited set of nodes the system is said to be fully observable. However, as the …