Let f be a smooth curve in IR d , parametrized by arclength. If a large sample of data points p

Abstract This study pertains to analysing the dynamical behaviour of a floating body undergoing parametric resonances. A simple vertical cylinder, representing classical spar-buoy, is considered, limiting its motion heave and pitch degrees freedom. Its geometry mass distribution are chosen such that 2:1 ratio pitch/roll natural frequency makes spar-buoy prone resonance. The system then studied ...

Abstract Composite cylindrical shells, as key components, are widely employed in large rotating machines. However, due to the frequency bifurcations and dense spectra caused by rotation, nonlinear vibration usually has behavior of complex multiple internal resonances. In addition, varying temperature fields make responses system further difficult obtain. Therefore, resonances composite shells w...

Block copolymers play an important role in materials sciences and have found widespread use many applications. From a mathematical perspective, they are governed by nonlinear fourth-order partial differential equation which is suitable gradient of the Ohta–Kawasaki energy. While equilibrium states associated with this central importance for description dynamics block copolymers, their study rem...

A bstract We analyze the Thermodynamic Bethe Ansatz (TBA) for various integrable S-matrices in context of generalized T $$ \overline{\mathrm{T}} T ¯ deformations. focus on sinh-Gordon model and its elliptic deformation both fermionic bosonic realizations. confirm that...

Here we study the kth symmetric trigonometric moment curve and its convex hull, the Barvinok–Novik orbitope. In 2008, Barvinok and Novik introduced these objects and showed that there is some threshold so that for two points on S1 with arclength below this threshold the line segment between their lifts to the curve forms an edge on the Barvinok–Novik orbitope, and for points with arclength abov...

Nonlinear free convection in an inclined rectangular porous cavity heated from below has been studied using a two-dimensional spectral decomposition. The code uses pseudo-arclength continuation to follow solution curves around fold bifurcations. evolution with inclination of the pattern is complicated and it relies strongly on both Darcy–Rayleigh number aspect ratio cavity. When large generally...