Linear stability of double diffusive convection of Darcy-Maxwell fluid with Soret and Dufour effects is investigated. The effects of the Soret and Dufour numbers, Lewis number, relaxation time and solutal Darcy Rayleigh number on the stationary and oscillatory convection are presented graphically. The Dufour number enhances the stability of Darcy-Maxwell fluid for stationary convection while it...

We define a lossless autonomous system as one having a quadratic differential form associated with it called an energy function, which is positive and which is conserved. We define an oscillatory system as one which has all its trajectories bounded on the entire time axis. In this paper, we show that an autonomous system is lossless if and only if it is oscillatory. Next we discuss a few proper...

Computational models of cortical networks were used to investigate the effects of extracellular K+ dynamics on seizure-like synchronous oscillatory activity similar to that observed in anesthetized cats in vivo and during LennoxGastaut types of seizures in humans. Active and passive K+ transport through the cell membrane, glial buffering, and diffusion in the extracellular space were included i...

Generalizing the classical result of Kneser, we show that the Sturm-Liouville equation with periodic coefficients and an added perturbation term −c2/r2 is oscillatory or non-oscillatory (for r →∞) at the infimum of the essential spectrum, depending on whether c2 surpasses or stays below a critical threshold. An explicit characterization of this threshold value is given. Then this oscillation cr...

Potential-dependent solvation structures of aqueous electrolyte-graphite interfaces were studied using electrochemical frequency modulation atomic force microscopy. Oscillatory modulations on the force curves reversibly changed with the applied potential on the graphite electrode, and also strongly depended on the anion species in electrolyte solutions.

We discuss the asymptotic behavior of solutions to a higher-order Emden–Fowler type equation with constant potential. Several author’s results are presented concerning both positive and oscillatory solutions to equations with regular and singular nonlinearities. We discuss the existence and asymptotic behavior of “blowup” solutions. Results on the asymptotic behavior of oscillating solutions ar...

Field potential recordings from motor cortex show oscillations in the beta-band (approximately 20 Hz), which are coherent with similar oscillations in the activity of contralateral contracting muscles. Recent findings have revised concepts of how this activity might be generated in the cortex, suggesting it could achieve useful computation. Other evidence shows that these oscillations engage no...

The purpose of this work is to study the effect of oscillatory MHD blood flow in stenosed artery. The analytical and numerical results are obtained for oscillatory MHD blood flow, which is assumed to be a Newtonian fluid. It was also assumed that the surface roughness is of cosine shaped and the maximum height of roughness is negligible, compared with the radius of un-constricted tube. The flui...