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The stability of modes at rest in non-linear mechanical systems which have one active mode undergoing chaotic oscillations is considered.
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Furthermore, our model helps us to understand why addition of an extra fold in the cavity could improve the stability of mode locked operation.
If a sufficient time-scale separation between the fast and slow modes in the discussed closed loop system and stability of fast modes are provided then slow modes have the desired form.
It has been shown that if a sufficient time-scale separation between the fast and slow modes in the discussed closed loop system and stability of fast modes are provided then slow modes have the desired form.
It has been shown that if a sufficient time-scale separation between the fast and slow modes in the discussed closed loop system and stability of fast modes are provided then slow modes have the desired form and thus the output transient performance indices are insensitive to parameter variations and external disturbances of the robotic manipulator.
The methods of Ince algebraization and Hill determinants are used to study stability of nonlinear modes.
Poincaré sections help to clarify the correspondence between the loss of stability of the modes and the global structure of the dynamical flow.
In light of this trend, work here develops control algorithms tailored to distributed energy storage units, seeking to use such units to contribute to frequency regulation and to enhance stability of electromechanical modes in the grid.
Three-wave and four-wave interactions and the stability of coupled modes with respect perturbations are discussed, the emphasis being placed on mechanical phenomena (e.g., stress amplification), although analogies with some non-linear optical systems are obvious.
In this paper, we study conditions of realization and stability of kink modes with azimuthal wave numbers m="±1 in cylindrical plasma flex with twisted magnetic field and homogeneous current along its axis.
The relative stability of these modes can be modulated in vitro by changing the salt concentration.
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