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The saddle is too hard.
I find the saddle a bit uncomfortable.
Could you lower the saddle for me?
A procedure for finding numerical trajectories on chaotic saddles.
They had the same conversation; the same silver dishes; the same saddles of mutton, boiled turkeys, and entrees.
The separatrices (trajectories which emanate from saddles) are shown heavy and divide the pattern up into zones.
Again the flow is locally two-dimensional and, if the flow is steady, saddles correspond to pressure maxima.
As the representatives and protectors of their communities, elite citizens were saddled with a permanent debt of obligation and expectation.
We deduce the following property on the periods of the saddles.
Irrotational saddles sit on either side of the sheet.
Moreover, the indices of some of these saddles may not belong to the interval of indices of the saddles of the class.
However, the center conditions apply also to the 1:-1 resonant saddles; in fact, we should take only the equation for center (not inequalities).
As a consequence, we can extend the homeomorphism to the stable manifolds of the saddles in the following way.
The theorems in 4 and 5 are stated in terms of heteroclinic points between fixed point saddles.
We prove that these cycles generate (by perturbations) new heterodimensional cycles associated with saddles with non-trivial homoclinic classes.
By [14], open and densely, these diffeomorphisms have saddles of different consecutive indices.
Consider a diffeomorphism f with a co-index 1 cycle associated with a pair of saddles.
Moreover, any chain recurrence class containing saddles having different indices has a robust cycle.