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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★ 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…