Intermediate quasiperiodic-periodic structures

Quasiperiodic Structures Obtained by the Projection Method

Ultradian clock timekeeping: periodic, quasiperiodic and chaotic outputs

Oscillator models for the control of the cell division cycle date back to 1970 when Sel'kov suggested a thiol/disulphide cycle and Gilbert proposed a specific protein phosphorylation-dephosphorylation cycle as state controlling variables; cell division requires attainment of a critical threshold. We have used the Chernavskii et al. (1977) model (relaxation oscillator) and modulated its output u...

Quasiperiodic, periodic, and slowing-down states of coupled heteroclinic cycles.

We investigate two coupled oscillators, each of which shows an attracting heteroclinic cycle in the absence of coupling. The two heteroclinic cycles are nonidentical. Weak coupling can lead to the elimination of the slowing-down state that asymptotically approaches the heteroclinic cycle for a single cycle, giving rise to either quasiperiodic motion with separate frequencies from the two cycles...

Susceptibility Calculations in Periodic and Quasiperiodic Planar Ising Models

New results are presented for the wavevector-dependent susceptibility of Z-invariant periodic and quasiperiodic Ising Models in the scaling limit, generalizing old results of Tracy and McCoy for the square lattice. Explicit results are worked out for the two leading singular terms of the susceptibility on four regular isotropic lattices. The methods used provide a proof of the extended lattice-...

Universal optical transmission features in periodic and quasiperiodic hole arrays.

We investigate the influence of array order in the optical transmission properties of subwavelength hole arrays, by comparing the experimental spectral transmittance of periodic and quasiperiodic hole arrays as a function of frequency. We find that periodicity and long-range order are not necessary requirements for obtaining enhanced and suppressed optical transmission, provided short-range ord...