# Adapting synapses in pulse-coupled oscillators

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In this paper, we are concerned with the boundedness of all the solutions of the equation x" + ax[sup +] - bx[sup -] + f(x) = p(t) where p(t) is a smooth 2p-periodic function, a and b are positive constants, and the perturbation f(x) is bounded.

- Anharmonic oscillator: Constructing the strong coupling expansions. Turbiner, A. V.; Ushveridze, A. G. // Journal of Mathematical Physics;Sep88, Vol. 29 Issue 9, p2053
Two novel approaches to construction of the strong coupling expansion for the anharmonic oscillator with the potential V(x)= 1/2 x2+(g/4)x4 are proposed. The first one is simply a straightforward solution of the SchrÃ¶dinger equation via the â€˜â€˜nonlinearizationâ€™â€™...

- Nonlinear oscillating structures in the earthquake and seaquake dynamics. Levin, Boris W. // Chaos;Sep96, Vol. 6 Issue 3, p405
Deals with the problem of parametric excitation of oscillating structures during an earthquake and a seaquake associated with external forces. Comparison of oscillating processes in the system Earth-moon-sun and seismic activity of the planet; Perturbation of the water surface over the...

- The summation of the ordinary and renormalized perturbation series for the ground state energy of the quartic, sextic, and octic anharmonic oscillators using nonlinear sequence transformations. Weniger, Ernst Joachim; Čížek, Jirˇí; Vinette, Francine // Journal of Mathematical Physics;Feb93, Vol. 34 Issue 2, p571
The strongly divergent Rayleighâ€“SchrÃ¶dinger perturbation expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator and a corresponding renormalized perturbation expansion [F. Vinette and J. CË‡ÃzË‡ek, J. Math. Phys. 32, 3392 (1991)] are...

- Nonlinear effects on inviscid liquid column oscillations. Zhang, L.; Lyell, M.J. // Acta Mechanica;1999, Vol. 134 Issue 1/2, p45
The nonlinear corrections to the natural modes of oscillation of the finite length inviscid liquid column are determined via the method of domain perturbation and Poincare expansion. In this weekly non-linear analytical treatment a hierarchy of systems of governing equations with associated...

- Effects of weak periodic pressure waves on time to ignition of fuel mixtures. Vainshtein, P.; Gutfinger, C. // Physics of Fluids;Sep2001, Vol. 13 Issue 9, p2635
The accumulation of small-amplitude gas dynamic perturbations accelerates the process of self-ignition of a homogeneous explosive mixture. In the present paper the cumulative effect of forced acoustic oscillations is studied when timescales of piston motions in a closed cylinder are comparable...

- Single-mode saturation of a linearly unstable plasma. Burnap, C.; Miklavcˇicˇ, M.; Willis, B. L.; Zweifel, P. F. // Physics of Fluids (00319171);Jan85, Vol. 28 Issue 1, p110
The nonlinear oscillations of an electron plasma described by the collisionless Vlasov equation are studied using a perturbation technique previously applied by Simon and Rosenbluth [Phys. Fluids 19, 1567 (1976)]. It is proved by a characteristic argument that the plasma is globally stable, so...

- Stability of swirling gas flows. Hultgren, Lennart S. // Physics of Fluids (00319171);Jul88, Vol. 31 Issue 7, p1872
The stability of inviscid swirling gas flows to small nonaxisymmetric perturbations is considered. For small Bruntâ€“VÃ¤isÃ¤lÃ¤ frequencies, the problem reduces to the classical Sturmâ€“Liouville form and the oscillation theorem can be applied. The resulting necessary and...

- Near-infrared boundâ€“free emission from the NaK molecule. Huennekens, J.; Loza, A.; Masters, M.; Sando, K. M. // Journal of Chemical Physics;5/15/1988, Vol. 88 Issue 10, p6013
We report the observation of boundâ€“free emission corresponding to the lowest triplet transition 1 3Î â†’1 3Î£+ of the NaK molecule. In the experiment, specific levels of the upper triplet state were populated directly from the ground state by virtue of spinâ€“orbit induced...