tangent

Examples of tangency

tangency
In the first part, we study the generic unfolding of a quadratic tangency between a curve and a surface in a three-dimensional space.
In (b) and (c), there is necessarily a tangency.
In this paper we will survey some of the phenomena associated to homoclinic tangencies.
Therefore, this is a first intersection between these arcs, and so it must be a tangency.
In this creation process non-hyperbolic long periodic orbits are formed close to the orbit of tangencies, which therefore go near for many iterates.
When is a point of homoclinic tangency an explosion point?
We will see that there are several interesting phenomena which appear after small perturbations when a given map f has a homoclinic tangency.
However, homoclinic tangencies give rise to rich and varied dynamics under small perturbations.
The tangency conditions between the involute profile and these two curves are also different.
This is the 'rotary tangency' considered in [1, 2].
By hypothesis, these cycles are far from tangencies.
With our specification of the economy, steady states are multiple (two), unless they do not exist, except for the special case of a tangency solution.
When n = 2, m = 1 and there exists a generically unfolding quadratic homoclinic tangency, the limit map is the logistic map.
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