A reduction of more than 20 dB of the intensity noise at the antiphase relaxation oscillation frequency is experimentally demonstrated in a two-polarization dual-frequency solid-state laser without any optical or electronic feedback loop. Such behavior is inherently obtained by aligning the two orthogonally polarized oscillating modes with the crystallographic axes of a (100)-cut neodymium-dope...

We present a numerical study of the pulses displayed by a semiconductor laser with optical feedback in the short-cavity regime, such that the external cavity round-trip time is shorter than the laser relaxation oscillation period. For certain parameters there are occasional pulses, which are high enough to be considered extreme events. We characterize the bifurcation scenario that gives rise to...

Stable normal mode vibrations in engineering can be undesirable and one of the possibilities for quenching these vibrations is by embedding the oscillator in an autoparametric system by coupling to a damped oscillator. We have the possibility of destabilising the undesirable vibrations by a suitable tuning and choice of coupling parameters. In the case of normal mode vibration derived from a re...

Ligament viscoelasticity controls viscous dissipation of energy and thus the potential for injury or catastrophic failure. Viscoelasticity under different loading conditions is likely related to the organization and anisotropy of the tissue. The objective of this study was to quantify the strain- and frequency-dependent viscoelastic behavior of the human medial collateral ligament (MCL) in tens...

Quantum cascade ~QC! lasers, based on intersubband transitions in semiconductor quantum wells, are characterized by ultrafast ~picosecond! carrier lifetimes. An important consequence of this unique property is the expected absence of relaxation oscillations in the transient response of these devices. Here, we discuss and experimentally verify this prediction by measuring the modulation response...

A biochemical oscillator model, describing developmental stage of myxobacteria, is analyzed mathematically. Observations from numerical simulations show that in a certain range parameters, the corresponding system ordinary differential equations displays stable and robust oscillations. In this work, we use geometric singular perturbation theory blow-up method to prove existence strongly attract...

Experiments on periodically oscillating arrays consisting of from one to 64 nickel electrodes in sulfuric acid are carried out. Harmonic and relaxation oscillations that occur respectively in two regions of parameter space are considered. External resistors in parallel and series are added to vary the extent of global coupling among the oscillators. The array is heterogeneous due to small varia...

We investigate the physical origin of nonlinear damping due to mode coupling between several auto-oscillatory modes driven by spin-orbit torque in constricted Py/Pt heterostructures examining dependence auto-oscillation on temperature and applied field orientation. observe a transition extracted from total oscillation power as function drive current, which coincides with onset redistribution am...

A computational tool for coarse-graining nonlinear systems of ordinary differential equations in time is discussed. Three illustrative model examples are worked out that demonstrate the range of capability of the method. This includes the averaging of Hamiltonian as well as dissipative microscopic dynamics whose ‘slow’ variables, defined in a precise sense, can often display mixed slow-fast res...

The Bloch equation provides the fundamental description of nuclear magnetic resonance(NMR) and relaxation(T1 andT2). This equation is the basis for both NMR spectroscopy andmagnetic resonance imaging (MRI). The fractional-order Bloch equation is a generalizationof the integer-order equation that interrelates the precession of the x, y and z componentsof magnetization wit...