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The Small-N Series in the Zero-Dimensional O(N) Model: Constructive Expansions and Transseries. [PDF]
Benedetti D+3 more
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A Complete Picture of Electron-Nuclear Coupling Dynamics in H₂⁺
Biegert J+14 more
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Oscillation and Asymptotic Behavior of Forced Nonlinear Equations
SIAM Journal on Mathematical Analysis, 1979The 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
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ASYMPTOTIC BEHAVIOR OF THE EIGENVALUES OF AN ANHARMONIC OSCILLATOR
Mathematics of the USSR-Sbornik, 1970In 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 ...
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Oscillation and asymptotic behavior of a system of linear difference equations
Applicable Analysis, 1992We 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
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ASYMPTOTIC BEHAVIOR OF NONLINEAR OSCILLATIONS IN A CHEMICAL SYSTEM
Transactions of the New York Academy of Sciences, 1974AbstractA 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.
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Asymptotic Behavior of Solutions of SDE for Relaxation Oscillations
SIAM Journal on Mathematical Analysis, 1993A 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 ...
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Asymptotic behaviours in stochastic pumped Duffing oscillators
Physics Letters A, 1987Abstract 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
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Oscillation and asymptotic behavior of neutral differential equations with deviating arguments
Applicable Analysis, 1986Consider 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
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