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20102026
most citedExamples of integrable and non-integrable systems on singular symplectic manifolds

40 citations · 127 across the 23 of their papers we have counts for

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math.DS2011

Transversality of homoclinic orbits to hyberbolic equilibria in a Hamiltonian system, via the Hamilton--Jacobi equation

Amadeu Delshams, Pere Gutiérrez, Juan R. Pacha

We consider a Hamiltonian system with 2 degrees of freedom, with a hyperbolic equilibrium point having a loop or homoclinic orbit (or, alternatively, two hyperbolic equilibrium poi…