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3 papers
Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies
Amadeu Delshams, Marina Gonchenko, Pere Gutiérrez
We study the splitting of invariant manifolds of whiskered (hyperbolic) tori with three frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a p…
Quasi-periodic perturbations of heteroclinic attractor networks
Amadeu Delshams, Antoni Guillamon, Gemma Huguet
We consider heteroclinic attractor networks motivated by models of competition between neural populations during binocular rivalry. We show that Gamma distributions of dominance ti…
Shadowing of non-transversal heteroclinic chains
Amadeu Delshams, Adrià Simon, Piotr Zgliczyński
We present a new result about the shadowing of nontransversal chain of heteroclinic connections based on the idea of dropping dimensions. We illustrate this new mechanism with seve…