The bifurcation analysis of a composite beam subjected to harmonic flapwise base excitation is studied when the ratio of flapwise and chordwise internal resonances is 1:2. Results are obtained by the numerical solution of modulation equations. Chracteristics of the response are investigated in terms of time history, phase portraits diagrams and bifurcation diagram of poincare maps. It is observ...

different discrete models of population dynamics of certain insects have been investigated under various feasible conditions within the framework of nonlinear dynamics. evolutionary phenomena are discussed through bifurcation analysis leading to chaos. some tools of nonlinear dynamics, such as lyapunov characteristic exponents (lce), lyapunov numbers, correlation dimension, etc. are calculated ...

In this paper, we study the connection between the bifurcation of diffuse transition layers and that of the underlying limit interfacial problem in a degenerate spatially inhomogeneous medium. In dimension one, we prove the existence of bifurcation of diffuse interfaces in a pitchfork spatial inhomogeneity for a partial differential equation with bistable type nonlinearity. Bifurcation point is...

This paper discusses feed-forward chains near points of synchrony-breaking Hopf bifurcation. We show that at synchrony-breaking bifurcations the center manifold inherits a feed-forward structure and use this structure to provide a simplified proof of the theorem of Elmhirst and Golubitsky that there is a branch of periodic solutions in such bifurcations whose amplitudes grow at the rate of λ 1 ...

An algorithm to the prognosis of qualitative behaviour (" prognosis of bifurcations ") of unknown dynamic system (DS) is proposed. The algorithm is based on DS reconstruction by the nonlinear-dynamical analysis of a chaotic time series (TS) generated by the system. A distinctive feature of unknown DS reconstruction is inevitable discrepancy between the system and any model reconstructed from ob...

We study semilinear elliptic equations on general bounded domains with concave semipositone nonlinearities. We prove the existence of the maximal solutions, and describe the global bifurcation diagrams. When a parameter is small, we obtain the exact global bifurcation diagram. We also discuss the related symmetry breaking bifurcation when the domains have certain symmetries.

We study codimension-2 bifurcations of fixed points of dissipative diffeomorphisms with a pair of complex critical eigenvalues together with either an eigenvalue −1 or another such a pair. In the previous studies only cubic normal forms were considered. However, in some cases the unfolding requires higher order terms and these are investigated here. We (re)derive the normal forms and reduce the...

Bifurcation of limit cycles in a cubic Hamiltonian system with quintic perturbed terms is investigated using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the perturbed cubic Hamiltonian system. The study reveals firstly that there are at most 15 limit cycles in the cubic Hamiltonian system with pertur...

conclusions routine predilation of the sb in provisional stenting of true bifurcation lesions seems to be ineffective and might be associated with some undesirable consequences. still, there are some complex ostial lesions of the sb which could benefit from predilation. patients and methods sixty patients with true bifurcation lesions according to the medina classification were included in the ...

This paper concerns with the number of limit cycles for a cubic Hamiltonian system under cubic perturbation. The fact that there exist 9–11 limit cycles is proved. The different distributions of limit cycles are given by using methods of bifurcation theory and qualitative analysis, among which two distributions of eleven limit cycles are new.  2005 Elsevier Inc. All rights reserved.