In this study, we propose a novel discrete-time coupled model to generate oscillatory responses via periodic points with a high periodic order. Our coupled system comprises one-dimensional oscillators based on the Rulkov map and a single globally coupled oscillator. Because the waveform of a one-dimensional oscillator has sharply defined peaks, the coupled system can be applied to dynamic image...

In this paper, three-dimensional Dunkl oscillator models are studied in a generalized form of superintegrable Euclidean Hamiltonian systems to curved ones. These defined based on Hamiltonians, which depend deformation parameter underlying space and involve reflection operators. The corresponding symmetries obtained by the Jordan–Schwinger representations family Cayley–Klein orthogonal algebras ...

An efficient control scheme of resonant three-oscillator interactions using an external chirped frequency drive is suggested. The approach is based on formation of a double phase-locked (autoresonant) state in the system, as the driving oscillation passes linear resonance with one of the interacting oscillators. When doubly phase locked, the amplitudes of the oscillators increase with time in p...

We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in the model space that includes up to 14h̄Ω harmonic-oscillator excitations above the unperturbed ground state. Twoand three-body effective interactions derived from the Reid93 and Argonne V8’ nucleon-nucleon potentials are used in the calculations. Binding energies, excitations energies, point-nucleon ra...

In this paper, an incommensurate fractional order (FO) model has been proposed to generate ECG like waveforms. Earlier investigation of ECG like waveform generation is based on two identical Van-der Pol (VdP) family of oscillators, which are coupled by time delays and gains. In this paper, we suitably modify the three state equations corresponding to the nonlinear cross-product of states, time ...

In this paper we present a model of an oscillator for nano-machines. We take a bio-inspired approach to develop the oscillator. Inspired by the oscillatory behavior found in calcium signaling, we develop the basis of the signal dynamics of the molecular oscillator. The molecular oscillator uses three different excitatory molecules: type A, B and C. These molecules are triggered and released in ...