11 citations · 14 across the 3 of their papers we have counts for
3 papers
math.DS2008★ 3 cited
Chaotic dynamics in the Volterra predator-prey model via linked twist maps
Marina Pireddu, Fabio Zanolin
We prove the existence of infinitely many periodic solutions and complicated dynamics, due to the presence of a topological horseshoe, for the classical Volterra predator--prey mod…
math.DS2007
Complex dynamics in a nerve fiber model with periodic coefficients
Chiara Zanini, Fabio Zanolin
We deal with the periodic boundary value problem for a second-order nonlinear ODE which includes the case of the Nagumo type equation previously con…
math.DS2007★ 11 cited
Cutting surfaces and applications to periodic points and chaotic-like dynamics
Marina Pireddu, Fabio Zanolin
In this paper we propose an elementary topological approach which unifies and extends various different results concerning fixed points and periodic points for maps defined on sets…