29,889 research outputs found
The Discrete Markus-Yamabe Problem for Symmetric Planar Polynomial Maps
We probe deeper into the Discrete Markus-Yamabe Question for polynomial
planar maps and into the normal form for those maps which answer this question
in the affirmative. Furthermore, in a symmetric context, we show that the only
nonlinear equivariant polynomial maps providing an affirmative answer to the
Discrete Markus-Yamabe Question are those possessing Z2 as their group of
symmetries. We use this to establish two new tools which give information about
the spectrum of a planar polynomial map
Public Firms in a Dynamic Third Market Model
We set the third market model in a dynamic context to decide whether a country can achieve benefits by subsidizing a public rm's exports. We use calculus of variations with the constraint that the welfare is either maximized or grows at constant rate, reflecting the public concern of the firm. We conclude that a subsidy can be a good strategy for the country in some instances, even though only over a finite period of time. The duration of this period depends on the output strategy of the public firm as well as on exogenous factors.public firms, strategic trade policy, third market model, calculus of variations
Global Saddles for Planar Maps
We study the dynamics of planar diffeomorphisms having a unique fixed point
that is a hyperbolic local saddle. We obtain sufficient conditions under which
the fixed point is a global saddle. We also address the special case of
-symmetric maps, for which we obtain a similar result for
homeomorphisms. Some applications to differential equations are also given
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