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The resulting limit cycle solutions correspond to amplitude modulated whirling or ballooning motions of the string.
The equation is nonlinear and furnishes limit cycle solutions for finite amplitude burner modes.
These solutions include rational function solutions, double-twisty function solutions, Jacobi oval function solutions and triangular cycle solutions.
There exist only few limit cycle solutions of this type, and such states would be statistically insignificant in the coarse-grained description.
We present an attractor based dynamics that autonomously generates trajectories with stable timing (limit cycle solutions), stably adapted to changing online sensory information.
And finally, our amplitude equation possesses time-periodic (limit cycle) solutions, although we find that this regime cannot be realized for parameter values typical of combustion systems.
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Limit cycle solution searches for autonomous systems are also feasible but not presented.
Leanplum started out as a mobile A/B testing service, but over time, the company has morphed into a mobile life cycle solution for marketers as it added new features to its platform.
Furthermore, the nullcline (dashed curve) for the (o+i) pool intersects the voltage nullcline in its unstable branch, resulting in a limit cycle solution.
X-ray diffraction (XRD) was used to characterize the crystal structure using the FF nanowires formed in acetonitrile-H2O (third cycle) solution, a commonly used self-assembly medium.
This approach results in an iterative scheme that yields the exact perturbation in the equilibrium cycle solution as well, in an accelerated way.
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