We study spatio-temporal pattern formation in a ring of N oscillators with inhibitory unidirectional pulselike interactions. The attractors of the dynamics are limit cycles where each oscillator fires once and only once. Since some of these limit cycles lead to the same pattern, we introduce the concept of pattern degeneracy to take it into account. Moreover, we give a qualitative estimation of...

– We demonstrate synchronization transition in a large ensemble of non-identical chaotic oscillators, globally coupled via the mean field. We show that this coherent behaviour is due to synchronization of phases of these oscillators, while their amplitudes remain chaotic. Two types of transition, depending on the phase coherence properties of the individual systems, are described. A number of p...

The paper presents the main ideas about MP grammars, a discrete formalism for describing and deducing dynamical systems, that combines ideas from formal language theory (P systems), recurrent equations, linear algebra and statistical regression. In this framework, some synthetic oscillators are presented which illustrate, in a simple manner, the expressive power of MP grammars in the analysis o...

We introduce a new method for beam steering in ultra-wide bandwidth arrays. The approach avoids the need for tunable microwave delays by using lag synchronization in a linear array of locally coupled chaotic oscillators. Steering is controlled by tuning the natural frequency of the oscillators and is analytically equivalent to first order to using explicit delay elements. Using chaotic rf circu...

Self-synchronization in a network of two symmetrically coupled chaotic oscillators differing in time scale is studied. The oscillators have a piecewise linear nonlinearity and are coupled via a resistor. For two chaotic oscillations, a definition of the degree of synchronism is suggested on the basis of the coherence function averaged over frequencies. On–off intermittence, which arises with sy...

the current paper focuses on some analytical techniques to solve the non-linear duffing oscillator with large nonlinearity. four different methods have been applied for solution of the equation of motion; the variational iteration method, he’s parameter expanding method, parameterized perturbation method, and the homotopy perturbation method. the results reveal that approximation obtained by th...

The q–deformation of harmonic oscillators is shown to lead to q–nonlinear vibrations. The examples of q–nonlinearized wave equation and Schrödinger equation are considered. The procedure is generalized to broader class of nonlinearities related to other types of deformations. The nonlinear noncanonical transforms used in the deformation procedure are shown to preserve in some cases the linear d...