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Perturbation approaches are developed for the cases of weak and strong nonlinearity.
Analytical perturbation results are obtained in the limiting cases of weak and strong inter-span coupling.
We then discuss the two limiting cases of weak and strong interactions.
However, one often discerns two opposite cases of weak and strong coupling.
For two correlated upward level-crossing processes previous studies have addressed the limiting cases of weak ( r ≈ 0 ) or strong ( r ≈ 1, r < 1 ) cross-correlations [3, 10].
There is also a significant number of mathematical studies on cross-frequency interactions, however, most of that analysis is limited to the cases of weak coupling [34 37].
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But again, it seems highly doubtful that this is true of all seeming cases of weak-willed action.
Analytical expression for the roughness function is available for the case of weak Euclidean roughness.
The consideration is not limited by the case of weak turbulence.
In the case of weak metal adsorption, drying strongly impacts the final catalyst distribution.
Perturbation techniques are used to find approximate Lyapunov exponents for the case of weak disorder.
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