Oscillator death in populations of “all to all” coupled nonlinear oscillators
✍ Scribed by G.B. Ermentrout
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 799 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0167-2789
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📜 SIMILAR VOLUMES
this paper, we shall study the oscillation of all positive solutions of the nonlinear delav differential eouation and x'(t) + ckvmx(t)xn(t -7) x @+x"(t-7) = ' x'(t) + p(t) -F(t) r+xn(t-T) = 0 (\*\*) about their equilibrium points. Also, we study the stability of these equilibrium points and prove
Networks of weakly nonlinear oscillators are considered with diffusive and time-delayed coupling. Averaging theory is used to determine parameter ranges for which the network experiences amplitude death, whereby oscillations are quenched and the equilibrium solution has a large domain of attraction.