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math.DS2023
Invariant manifolds of maps and vector fields with nilpotent parabolic tori
Clara Cufí-Cabré, Ernest Fontich
We consider analytic maps and vector fields defined in , having a -dimensional invariant torus . The map (resp. vector field) rest…
math.DS2023
Functional shift-induced degenerate transcritical Neimark-Sacker bifurcation in a discrete hypercycle
E. Fontich, A. Guillamon, J. Perona +1
In this article we investigate the impact of functional shifts in a time-discrete cross-catalytic system. We use the hypercycle model considering that one of the species shifts fro…