In this paper, we study Hopf-zero bifurcation in a generalized Gopalsamy neural network model. By using multiple time scales and center manifold reduction methods, we obtain the normal forms near a Hopf-zero critical point. A comparison between these two methods shows that the two normal forms are equivalent. Moreover, bifurcations are classified in two-dimensional parameter space near the crit...

We consider a second order equation of Duffing type. By applying Mawhin’s continuation theorem and a relationship between the periodic and the Dirichlet boundary value problems for second order ordinary differential equations, we prove that the given equation has at least one positive periodic solution when the singular forces exhibits certain some strong force condition near the origin and wit...

A generalized Swift-Hohenberg model including a weak random forcing, viewed as mimicking the intrinsic source of noise due to boundary defects, is used to reproduce the experimentally observed power-law variation of the correlation length of rotating convection patterns as a function of the stress parameter near threshold, and to demonstrate the sensitivity of the exponent to the amplitude of t...

We describe an automated method (3D-map) for determining near-optimal decomposed generalized C-element (gC) implementations of extended burst-mode asynchronous controllers. Average-case optimization is performed so that frequent paths are accelerated, possibly at the expense of less frequent paths. The overall effect, as quantified using Elmore delay analysis, is a circuit that has near-optimal...

A transformation linking spherical multipole fields with generalized spheroidal multipole fields is derived. Applications including the inverse diffraction problem for spherically-scanned near field data for sources that due to conformal considerations are efficiently described using spheroidal (either oblate or prolate) volume support regions are discussed with the aid of numerical illustratio...

We describe an automated method (3D-map) for determining near-optimal decomposed generalized C-clement (gC) implementations of extended burst-mode asynchronous controllers. Average-case optimization is performed so that frequent paths are accelerated, possibly at the expense of less frequent paths. The overall effect, as quantified using Elmore delay analysis, is a circuit that has near-optimal...

Presented a method for quantizing the wideband line spectrum frequencies (LSF) with a specific class of near-ellipsoidal lattice codes referred to as “generalized Voronoi codes”. Optimization procedures are described with respect to a weighted mean-square error (WMSE). The lattices D16, RE16 or R 16 are applied to quantize the LSF with no frequency splitting. Results indicate that near-ellipsoi...

Using the nonlinear differential equations governing the motion of a fluid-filled and prestressed long thin elastic tube, the propagation of nonlinear waves near the marginal state is examined through the use of reductive perturbation method. It is shown that the amplitude modulation near the marginal state is governed by a generalized nonlinear Schr€ odinger (GNLS) equation. Some exact solutio...

in this paper we investigate generalized topologies generated by a subbase ofpreorder relators and consider its application in the concept of the complement. we introducethe notion of principal generalized topologies obtained from the new type of open sets andstudy some of their important properties.

A near-optimal midcourse trajectory shaping guidance algorithm is proposed for both air and ballistic target engagement mission attributes for generic long range interceptor missile. This guidance methodology is based on the maximum final velocity as the objective function and maximum permissible flight altitude as the in-flight state constraint as well as the head-on orientation as the termina...