Results 231 to 240 of about 344,248 (268)

A Complete Picture of Electron-Nuclear Coupling Dynamics in H₂⁺

open access: yes
Biegert J   +14 more
europepmc   +1 more source

Oscillation and Asymptotic Behavior of Forced Nonlinear Equations

SIAM Journal on Mathematical Analysis, 1979
The oscillation and the asymptotic behavior of the solutions of the equation \[x^{(n)} + H(t,x(q(t))) = Q(t)\] are studied under assumptions of smallness or periodicity for $Q(t)$. Recent results of Mahfoud concerning the case $Q(t) \equiv 0$ are extended via a transformation introduced recently by the first author.
J. Toro, A. G. Kartsatos
openaire   +2 more sources

ASYMPTOTIC BEHAVIOR OF THE EIGENVALUES OF AN ANHARMONIC OSCILLATOR

Mathematics of the USSR-Sbornik, 1970
In this paper we study the properties of the spectrum of the boundary-value problem Let be the points of the spectrum of this problem, arranged in order of increasing absolute value.Our main result is Theorem. Let satisfy the conditions L.$ SRC=http://ej.iop.org/images/0025-5734/10/2/A01/tex_sm_2153_img4.gif/>Then for any 0$ SRC=http://ej.iop.org ...
openaire   +2 more sources

Oscillation and asymptotic behavior of a system of linear difference equations

Applicable Analysis, 1992
We obtain necessary and sufficient conditions for the oscillation of all solutions of the system of difference equations where p is a real number. We also investigate the asymptotic behavior of all solutions.
D. A. Georgiou, G. Ladas, P. N. Vlahos
openaire   +2 more sources

ASYMPTOTIC BEHAVIOR OF NONLINEAR OSCILLATIONS IN A CHEMICAL SYSTEM

Transactions of the New York Academy of Sciences, 1974
AbstractA chemical system beyond a nonequilibrum unstable transition is known to exhibit a limit‐cycle type of oscillation. The shape and period of this cycle are analyzed in the asymptotic limit when there is a large separation between the time scales characterizing the various chemical steps.
openaire   +2 more sources

Asymptotic Behavior of Solutions of SDE for Relaxation Oscillations

SIAM Journal on Mathematical Analysis, 1993
A stochastic Lienard equation with a small parameter $\varepsilon > 0$ multiplying the highest derivative is formulated by a two-dimensional stochastic differential equation (SDE). Here fast and slow variables appear. In order to investigate the asymptotic behavior of the fast variable in such a system as $\varepsilon \to 0$, a stochastic process $X ...
openaire   +2 more sources

Asymptotic behaviours in stochastic pumped Duffing oscillators

Physics Letters A, 1987
Abstract Both static and dynamic properties of the Duffing oscillator with fluctuating elastic constant are simulated by means of an analogue circuit. A regime of large intensity and long correlation time of the applied fluctuation is determined where the experimental data are not reproduced by previous theoretical predictions.
MARCHESONI, Fabio   +2 more
openaire   +3 more sources

Oscillation and asymptotic behavior of neutral differential equations with deviating arguments

Applicable Analysis, 1986
Consider the neutral differential equation where q≠0, p, τ, and σ are real numbers. Let y(t) be a nonoscillatory solution of Eq. (1). Then limtt→∞y(t) is determined for all cases, except: . Two conjectures (as well as evidence indicating their possible validity) are given to cover the missing cases i), ii), and iii).
Myron K. Grammatikopoulos   +2 more
openaire   +2 more sources

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