6 citations · 18 across the 12 of their papers we have counts for
16 papers
Lag-Induced Critical Transitions to Extinction in Replicating Systems
Edward A. Turner, Francisco Crespo, Joan Gimeno +3
Replicating systems sustained by error-prone enzymatic amplification can undergo critical transitions between persistence and extinction. In RNA viruses, such transitions are class…
Chaotic dynamics at the boundary of a basin of attraction via non-transversal intersections for a non-global smooth diffeomorphism
Ernest Fontich, Antonio Garijo, Xavier Jarque
In this paper we give analytic proofs of the existence of transversal homoclinic points for a family of non-globally smooth diffeomorphisms having the origin as a fixed point which…
Chaotic scattering of He atoms off a Cu surface with corrugated Morse potential
Florentino Borondo, Ernest Fontich, Pau Martín
We consider a Hamiltonian system that models the scattering of helium atoms off a copper surface. The interaction between the He and the Cu atoms is described by a corrugated Morse…
Invariant manifolds of degenerate tori and double parabolic orbits to infinity in the (n+2)-body problem
Immaculada Baldomá, Ernest Fontich, Pau Martín
There are many interesting dynamical systems in which degenerate invariant tori appear. We give conditions under which these degenerate tori have stable and unstable invariant mani…
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…
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…