Z2-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields
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DOI: 10.1016/j.jde.2019.12.020
Abstract: Abstract We study the global dynamical behavior of Z 2 -equivariant cubic Hamiltonian vector fields with a linear type bi-center at ( ± 1 , 0 ) . By using a series of symbolic computation… read more here.
Keywords: linear type; hamiltonian vector; vector fields; type center ... See more keywords
Decomposing Euler-Poincaré Flow on the Space of Hamiltonian Vector Fields
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DOI: 10.3390/sym15010023
Abstract: The main result of this paper is a matched-pair decomposition of the space of symmetric contravariant tensors TQ. From this procedure two complementary Lie subalgebras of TQ under mutual interaction arise. Introducing a lift operator,… read more here.
Keywords: space hamiltonian; hamiltonian vector; euler; euler poincar ... See more keywords