34 research outputs found
Synchronization and Information Transmission in Spatio-Temporal Networks of Deformable Units
We study the relationship between synchronization and the rate with which
information is exchanged between nodes in a spatio-temporal network that
describes the dynamics of classical particles under a substrate
Remoissenet-Peyrard potential. We also show how phase and complete
synchronization can be detected in this network. The difficulty in detecting
phase synchronization in such a network appears due to the highly non-coherent
character of the particle dynamics which unables a proper definition of the
phase dynamics. The difficulty in detecting complete synchronization appears
due to the spatio character of the potential which results in an asymptotic
state highly dependent on the initial state.Comment: to appear in PRAMAN
United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS VIBRATIONS ANALYSIS AND BIFURCATIONS IN THE SELF-SUSTAINED ELECTROMECHANICAL SYSTEM WITH MU
Abstract We consider in this paper the dynamics of the self-sustained electromechanical system with multiple functions, consisting of an electrical Rayleigh-Duffing oscillator, magnetically coupled with linear mechanical oscillators. The averaging and the balance harmonic method are used to find the amplitudes of the oscillatory states respectively in the autonomous and non-autonomous cases, and analyze the condition in which the quenching of self-sustained oscillations appears. The effects of the number of linear mechanical oscillators on the behavior of the model are discussed. Various bifurcation structures, the stability chart and the variation of the Lyapunov exponent are obtained, using numerical simulations of the equations of motion.
The Universal Cardinal Ordering of Fixed Points
We present the theorem which determines, by a permutation, the cardinal
ordering of fixed points for any orbit of a period doubling cascade. The
inverse permutation generates the orbit and the symbolic sequence of the orbit
is obtained as a corollary. The problem present in the symbolic sequences is
solved. There, repeated symbols appear, for example, the R (right), which
cannot be distinguished among them as it is not known which R is the rightmost
of them all. Therefore, there is a lack of information about the dynamical
system. Interestingly enough, it is important to point that this theorem needs
no previous information about any other orbit.Comment: 19 pages, 4 figure
Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest
This paper presents the study of the dynamics of intrahost (insect pests)-pathogen [entomopathogenic fungi (EPF)] interactions. The interaction between the resources from the insect pest and the mycelia of EPF is represented by the Holling and Powell type II functional responses. Because the EPF’s growth is related to the instability of the steady state solution of our system, particular attention is given to the stability analysis of this steady state. Initially, the stability of the steady state is investigated without taking into account diffusion and by considering the behavior of the system around its equilibrium states. In addition, considering small perturbation of the stable singular point due to nonlinear diffusion, the conditions for Turing instability occurrence are deduced. It is observed that the absence of the regeneration feature of insect resources prevents the occurrence of such phenomena. The long time evolution of our system enables us to observe both spot and stripe patterns. Moreover, when the diffusion of mycelia is slightly modulated by a weak periodic perturbation, the Floquet theory and numerical simulations allow us to derive the conditions in which diffusion driven instabilities can occur. The relevance of the obtained results is further discussed in the perspective of biological insect pest control