Examples of transversality

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Consequently, it ensures satisfaction of the transversality condition (3d).
We therefore set = 0 in this section since each connection of the above type found for = 0 persists for 0 due to transversality.
We note that our proof is quite general; these transversality conditions apply to any maximin problem, not just a regular one.
If s = 0 only the transversality of the curve and the surface does not remain.
So, the transversality condition typically holds in some sense in the case of strong contractions.
Then we give the definition of generalized homoclinic transversality.
Therefore, we restrict to our example where the transversality condition is proven.
The key tools for establishing genericity are transversality theorems.
Ultimately, one would also like to get rid of the transversality assumption.
We define a new concept, which is simpler to handle than the formal transversality; it is a sort of formal transversality at the 0-level.
In particular, this involved calculating the second-order behaviour of the forward kinematics to characterise what are called transversality conditions.
If you look at those competitive paths, you can rule out the ones that are inefficient if you impose the transversality condition.
However, that is not sufficient to ensure transversality.
The goal of this section is to introduce a new type of transversality between invariant manifolds of a fixed point.
Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds.

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