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Finally, I compared the response of both oscillators when the input firing rates were changed through the simulation.
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For example, restrictions on the dynamics of symmetrically coupled systems of oscillators when the coupling is time-continuous can be circumvented for pulsatile coupling leading to more complex network dynamics [173].
Recently, Hu [A note on the frequency of nonlinear conservative oscillators, Journal of Sound and Vibration 286 (2005) 653 662] presented a superposition method for the approximate determination of frequencies of conservative oscillators when the nonlinear restoring force consists of a superposition of several individual characteristics.
In addition to acting as a frequency multiplier for an oscillating input, the network is capable of acting as a switch or an oscillator when the input is held constant between certain ranges.
The Helmholtz Duffing oscillator becomes a Duffing oscillator when the homotopy parameter degenerates to one and a Helmholtz oscillator when it is zero.
Nonresonant Hopf Hopf interactions may occur in the controlled van der Pol Duffing oscillator when the corresponding characteristic equation has two pairs of purely imaginary roots.
An excitable element is in some sense the washed-up brother of the relaxation oscillator: When the threshold vanishes, a single excitable element usually becomes a simpler behaved and much longer known relaxation oscillator [3].
Fig. 8 Probability distribution of the phase difference between a pair of E-I oscillators when there is an asymmetry in the common extrinsic noise source to the excitatory and inhibitory populations.
In a comprehensive review on "Central Pattern Generators" (CPG), Ijspeert (2008) listed five "interesting properties" and two "challenges" of central oscillators when they are used for the control of rhythmic motor output.
On the other, we have demonstrated and explained an anomalous behavior of the on-board oscillator when crossing the South Atlantic Anomaly region.
On the other hand, phase-advanced photoentrainment in Six3-Cre Lhx1lox/lox mice, with an activity onset before dark, suggests that the Lhx1-deficient SCN does engage downstream oscillators when driven by light.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com