Large converted tankers operate as floating platforms for the production of oil in offshore fields whose depth approaches 2000 m. Their dynamics are influenced by wind, currents, and waves, and also by the physical characteristics of mooring lines. In addition to the single-vessel operation mode, a two-ship tandem arrangement is employed during the transfer of cargo (offloading) from the main p...

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...

In this paper, we propose to design a new family of discrete-time chaotic systems based on the use of the multimodel approach. This approach is used to represent a way to generate new family of discrete-time chaotic systems, from p discrete time chaotic basis models. Our results are illustrated on the specific case of a new discrete-time chaotic multimodel based on two chaotic 2D Hénon maps wit...

The dynamical behavior of a FPSO system in a tandem configuration with a shuttle vessel under the action of wind and current forces can be quite complex. In order to obtain a general view of the problem, an overall picture of the dynamics involved is obtained through a systematic numerical study of equilibria and their stability properties. Environmental parameters such as wind and current spee...

We consider a nonlinear equation F(=, *, u)=0, where F is a differentiable mapping from R_R_X to Y and X, Y are Banach spaces. When = varies from a fixed ===0 , bifurcation occurs to the solution curve (*(s), u(s)). We study the degenerate solutions of the equation, and we obtain several bifurcation theorems on the degenerate solutions, which can be applied in many nonlinear problems to obtain ...

In this work we show that basic algebro-geometric concepts such as the concept of intersection multiplicity of projective curves at a point in the complex projective plane, are needed in the study of planar polynomial vector fields and in particular in summing up the information supplied by bifurcation diagrams of global families of polynomial systems. Algebro-geometric concepts are helpful in ...

In this paper we model a computer network consisting of one standard Internet connection and one nonstandard connection that transmits uniformly sized bursts of packets at regular intervals. The nonstandard connection can represent probing activity of either a diagnostic measurement or attack. Using bifurcation diagrams, we study how the network’s behavior changes as a function of the probing f...

The billiard system of Benettin and Strelcyn 2] is generalized to a two-parameter family of diierent shapes. Its boundaries are composed of circular segments. The family includes the integrable limit of a circular boundary, convex boundaries of various shapes with mixed dynamics, stadiums, and a variety of non-convex boundaries, partially with ergodic behaviour. The extent of chaos has been mea...

Commercial aircraft are designed to fly but also need to operate safely and efficiently as vehicles on the ground. During taxiing, take-off, and landing the landing gear must operate reliably over a wide range of forward velocities and vertical loads. Specifically, it must maintain straight rolling under a wide variety of operating conditions. It is well known, however, that under certain condi...

Resonance tongues are mode-locking regions of parameter space in which stable periodic solutions occur; they commonly occur, for example, near Neimark-Sacker bifurcations. For piecewise-smooth, continuous maps these tongues typically have a distinctive lens-chain (or sausage) shape in two-parameter bifurcation diagrams. We give a symbolic description of a class of “rotational” periodic solution...