Bifurcations in the Lozi map

Abstract

We study the presence in the Lozi map of a type of abrupt order-to-order and order-to-chaos transitions which are mediated by an attractor made of a continuum of neutrally stable limit cycles, all with the same period.

17 pages, 12 figures

References in corpus (1)

• Dynamics of a map with power-law tail

Cited by in corpus (5)

• A Mathematical Model for the Dynamics and Synchronization of Cows
• Chimeras and clusters in networks of hyperbolic chaotic oscillators
• Asymptotic cycles in fractional generalizations of multidimensional maps
• Coexistence of periods in a bisecting bifurcation
• On the relationship between Lozi maps and max-type difference equations