The reaction–diffusion Holling–Tanner predator–prey model with Neumann boundary condition is considered. We perform a detailed stability and Hopf bifurcation analysis and derive conditions for determining the direction of bifurcation and the stability of the bifurcating periodic solution. For partial differential equation (PDE), we consider the Turing instability of the equilibrium solutions an...

Reversal of financial market integration in Europe during the global financial crisis requires tools to measure and monitor banking sector stability. Banking sectors in Europe, especially in Central and Eastern countries, are characterized by a significant share of foreign capital and height level of concentration. This phenomenon may enhance the financial institutions to compete and probably t...

We demonstrate that period-doubled discrete breathers appear from the anticontinuum limit of the driven Peyrard-Bishop-Dauxois model of DNA. These novel breathers result from a stability overlap between subharmonic solutions of the driven Morse oscillator. Subharmonic breathers exist whenever a stability overlap is present within the Feigenbaum cascade to chaos and therefore an entire cascade o...

The stability of dark solitons generated by supersonic flow of a Bose-Einstein condensate past an obstacle is investigated. It is shown that in the reference frame attached to the obstacle a transition occurs at some critical value of the flow velocity from absolute instability of dark solitons to their convective instability. This leads to the decay of disturbances of solitons at a fixed dista...

This paper analyzes the stability of the amplitude death phenomenon that occurs in a pair of scalar time-delay nonlinear oscillators coupled by static, dynamic, and delayed connections. Stability analysis shows that static connections never induce death in time-delay oscillators. Further, for the case of dynamic and delayed connections, a simple instability condition under which death never occ...

Multistable processes, that is, processes which are, at each time , tangent to a stable process, but where the index of stability varies along the path, have been recently introduced as models for phenomena where the intensity of jumps is non constant. In this work, we give further results on (multifractional) multistable processes related to their local structure. We show that, under certain c...

The subject of this paper is a general theory for a switched power converter, where the switch is controlled according to a pulse-width-modulation strategy. The pulse-width-modulated switched power converter is transformed into an equivalent discrete-time system. With this system the existence, uniqueness and stability of stationary solutions is investigated. Also stability of deviations from a...

The power system stabilizer is used to damp out the low frequency oscillations that improve the small signal stability of the power system. If ignored these low frequency oscillations may lead to cascaded failure of the complete power system. This paper presents the comparative study of conventional power system stabilizer (CPSS) with newly proposed Adaptive Fuzzy Logic Controlled Power System ...

The paper presents the parallel implementation of a multibody formulation for the analysis of the dynamic stability of a soft-in-plane tiltrotor configuration, with regard to the groundand airresonance phenomena. A multibody model of a tiltrotor semispan wind tunnel model has been used to investigate the phenomenon. An original multibody, multidisciplinary formulation has been used; its impleme...

Cohabitors and married people who cohabited before marriage have higher risks of union dissolution than people who married without prior cohabitation. However, these differences in union stability vary markedly between countries. We hypothesize that the impact of cohabitation on union stability depends on how far cohabitation has diffused within a society. We test this hypothesis with data from...