THE BASIN OF ATTRACTION OF LOZI MAPPINGS

DOI10.1142/S0218127409023469zbMath1167.37327OpenAlexW2091148925MaRDI QIDQ3391953

Ricardo Severino, Sandra Vinagre, Diogo Baptista

Publication date: 13 August 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127409023469

zbMATH Keywords

basin of attractionLozi mapsiteration of maps on the plane

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (4)

Symbolic dynamics and Lyapunov exponents for Lozi maps ⋮ Hausdorff dimension of chaotic attractors in a class of nonsmooth systems ⋮ On the relationship between Lozi maps and max-type difference equations ⋮ Chaotic attractor of the normal form map for grazing bifurcations of impact oscillators

Cites Work

• The geometric structure of strange attractors in the Lozi map
• Towards a kneading theory for Lozi mappings I: A solution of the pruning front conjecture and the first tangency problem

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