In this paper we classify the global phase portraits of all reversible linear differential systems with cubic homogeneous polynomial nonlinearities defined in the plane and having a non degenerate center at the origin. The ...

Let F<inf>d</inf> be the free group of rank d, freely generated by {y1,. . .,yd}, and let DFd be the group ring over an integral domain D. Given a subset E<inf>d</inf> of F<inf>d</inf> containing the generating set, assign ...

We let L be the completion of the field of formal Puiseux series and study polynomials with coefficients in L as dynamical systems. We give a complete description of the dynamical and parameter space of cubic polynomials ...

We determine the Cox rings of the minimal resolutions of cubic surfaces with at most rational double points, of blow-ups of the projective plane at non-general configurations of six points and of three dimensional smooth ...

Background: In this study, we applied ultra-short time series of interbeat intervals (RR-intervals) to evaluate heart rate variability through default chaotic global techniques with the purpose of discriminating obese ...

Recently, viscoelastic materials have been widely used for vibration control due to their efficacy and flexibility in real engineering problems. Their use as constitutive parts of dynamic vibration absorbers requires the ...

We investigate mobility regimes for localized modes in the discrete nonlinear Schr¨odinger (DNLS) equation with the cubic-quintic on-site terms. Using the variational approximation, the largest soliton’s total power admitting ...