We present Multi Scale Shape Index (MSSI), a novel feature for 3D object recognition. Inspired by the scale space filtering theory and Shape Index measure proposed by Koenderink & Van Doorn [6], this feature associates different forms of shape, such as umbilics, saddle regions, parabolic regions to a real valued index. This association is useful for representing an object based on its constitue...

We present experimental and numerical evidence of a multi-frequency phase control able to preserve periodic behavior within a chaotic window as well as to re-excite chaotic behavior when it is destroyed by the presence of a mitigating unstable periodic orbit created in the presence of the multi-frequency drive. The mitigating saddle controlling the global behavior is identified and the controll...

This study presents a finite element method (FEM) based three-dimensional laser forming process design methodology for thin plates to determine the laser scanning paths and heating conditions. The strain fields were first calculated via FEM. The laser scanning paths were chosen perpendicular to the averaged principal minimum strain direction. The ratios of in-plane and bending strain were calcu...

One- and two-dimensional bifurcation studies of a prototypic model of bursting oscillations in pancreatic beta-cells reveal a squid-formed area of chaotic dynamics in the parameter plane, with period-doubling bifurcations on one side of the arms and saddle-node bifurcations on the other. The transition from this structure to the so-called period-adding structure is found to involve a subcritica...

The influence of damping on the dynamical behavior of the electrostaticparallel-plate and torsional actuators with the van der Waals (vdW) or Casimir force(torque) is presented. The values of the pull-in parameters and the number of theequilibrium points do not change whether there is damping or not. The ability ofequilibrium points is varied with the appearance of damping. One equilibrium poin...

We report Stochastic Resonance and Coherence Resonance phenomena in experiments using CO2 lasers. First, we consider a polarized laser with feedback; for suitable feedback parameters, the laser intensity undergoes homoclinic chaos consisting in the return to a saddle focus, where noise controls the permanence time around the saddle. Second, we discuss a quasi-isotropic laser where noise induces...

In this paper, a novel core-modified porphyrin with meso-aryl substituents and phenanthrene-fused pyrrole rings (N2S2-OR) is synthesized. Scanning tunneling microscopy (STM) has been used to probe its self-assembly behavior on a highly-oriented pyrolytic graphite (HOPG) surface. Our STM results have shown that there is an obvious solvent-dependent self-assembly for the surface-confined target m...

Abstract The virtual element method (VEM) is a new family of numerical methods for the approximation partial differential equations, where geometry polytopal mesh elements can be very general. aim this article to extend balancing domain decomposition by constraints preconditioner solution saddle-point linear system arising from VEM discretization two-dimensional Stokes equations. Under suitable...

We present a normal form for traveling waves in one-dimensional excitable media in the form of a differential delay equation. The normal form is built around the well-known saddle-node bifurcation generically present in excitable media. Finite wavelength effects are captured by a delay. The normal form describes the behavior of single pulses in a periodic domain and also the richer behavior of ...

In order to maintain stability, one of the variables, say y, must be a “jump” variable (or a “control” variable) which can respond instantaneously to new information and/or shocks, while the other variable, x, must be a “sluggish” variable (or a “state” variable) which is constrained to evolve continuously at all times. Therefore, unlike the “jump” variable y, x cannot change instantaneously in...