Hidden attractors in fundamental problems and engineering models

Recently a concept of self-excited and hidden attractors was suggested: an attractor is called a self-excited attractor if its basin of attraction overlaps with neighborhood of an equilibrium, otherwise it is called a hidden attractor. For example, hidden attractors are attractors in systems with no equilibria or with only one stable equilibrium (a special case of multistability and coexistence of attractors). While coexisting self-excited attractors can be found using the standard computational procedure, there is no standard way of predicting the existence or coexistence of hidden attractors in a system. In this plenary survey lecture the concept of self-excited and hidden attractors is discussed, and various corresponding examples of self-excited and hidden attractors are considered

Identification of Mycobacterium spp. of veterinary importance using rpoB gene sequencing

peer reviewedThis work aims to study the rotational stability of a tower crane left free to rotate. Indeed, in case of important wind velocities, small oscillations can increase and build up into autorotations due to autoparametric excitation of the structure. Many references in the literature describe the limit between oscillation and autorotation for simple cases like the deterministic pendulum and evidence the importance of the Hamiltonian of a system on its stability. In this context the susceptibility of the structure to this dynamical instability is characterized by the average time necessary to reach a given energy barrier departing from an initial energy level. This first passage time is the solution of the Pontryagin equation and is approached by an asymptotic expansion. First- and second-order terms are calculated as well as the boundary layer solution providing a correction when the initial energy is close to the barrier level