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math.DS2013★ 3 cited
Principal Poincaré Pontryagin Function associated to some families of Morse real polynomials
Michele Pelletier, Marco Uribe
It is known that the Principal Poincaré Pontryagin Function is generically an Abelian integral. We give a sufficient condition on monodromy to ensure that it is an Abelian integral…
math.DS2011
The displacement map associated to polynomial perturbations of some nongeneric Hamiltonians
Michele Pelletier, Marco Uribe
It is known that the Principal Poincaré Pontryagin Function is generically an Abelian integral. In non generic cases it is an iterated integral. In previous papers one of the autho…