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The connection breaks for a moment, then comes back.
When your washing machine or internet connection breaks down, the only help you can get is from a chap in Hyderabad who speaks little or no English.
For (a< a_{ell} varepsilon )), the homoclinic connection breaks into a repelling large-amplitude cycle.
For any given (C>frac{1}{2}), the saddle connection breaks regularly with respect to the parameter A as one moves away from (A_{ell}(C =-frac{1}{16}+frac{C}{4}).
"It turns out that video chat is kind of lame because the connection breaks up, when you really could leverage all of these great aspects of the digital world," Spiegel said.
The emergence of an SNPO branch from the resonant saddle homoclinic is standard (see [24]), and based on three features: (i) the ratio of eigenvalues is perturbed regularly upon variation of a parameter (C), (ii) the separatrix connection breaks regularly upon variation of another parameter (A), and (iii) the divergence integral along the homoclinic loop is nonzero.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com