Neurons rely on a unique organization of their cytoskeleton to build, maintain and transform extraordinarily intricate shapes. After decades research the neuronal cytoskeleton, it is exciting that novel assemblies are still discovered thanks progress in cellular imaging methods. Indeed, super-resolution microscopy has revealed axons lined with periodic scaffold actin rings, spaced every 190 nm ...

In this paper, the periodic, quasi periodic and chaotic responses of rotational machines with a hexagonal centrifugal governor are studied. The external disturbance is assumed as a sinusoid effect. By using the forth order Rung-Kutta numerical integration method, bifurcation diagram, largest Lyapunov exponent and Lyapunov dimension are calculated and presented to detect the critical controlling...

We consider the totally asymmetric simple exclusion process with open boundaries, at edge of maximal current phase. Using analytic continuations from known stationary eigenvalue, we obtain exact expressions for spectral gaps in limit large system size. The underlying Riemann surface,generated by modified Lambert functions, interpolates between one periodic TASEP and

we prove that each normal automorphism of the $n$-periodic product of cyclic groups of odd order $rge1003$ is inner, whenever $r$ divides $n$.

We prove results towards the equidistribution of certain families of periodic torus orbits on homogeneous spaces, with particular focus on the case of the diagonal torus acting on quotients of PGLn(R). After attaching to each periodic orbit an integral invariant (the discriminant) our results have the following flavour: certain standard conjectures about the distribution of such orbits hold up ...