Topological entropy and Arnold complexity for two-dimensional mappings

DOI10.1016/S0375-9601(99)00662-3zbMath0936.37005OpenAlexW2157301048MaRDI QIDQ1972392

S. Hassani, J.-Ch. Anglès D'Auriac, Nina Abarenkova, Jean-Marie Maillard, Salah Boukraa

Publication date: 10 April 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00662-3

zbMATH Keywords

topological entropyzeta functionsArnold complexitybirational mappings

Mathematics Subject Classification ID

Topological entropy (37B40) Low-dimensional dynamical systems (37E99) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Spectral interpretations of dynamical degrees and applications, Degree growth for tame automorphisms of an affine quadric threefold, Noetherian mappings, Dynamics of a two parameter family of plane birational maps: maximal entropy, Degree complexity of a family of birational maps, Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space, Three approaches to detecting discrete integrability, Laminar currents and birational dynamics, Growth-complexity spectrum of some discrete dynamical systems, Real topological entropy versus metric entropy for birational measure-preserving transformations, Real Arnold complexity versus real topological entropy for birational transformations, Functional relations in lattice statistical mechanics, enumerative combinatorics and discrete dynamical systems

Cites Work

• Discrete symmetry groups of vertex models in statistical mechanics.
• Quantitative universality for a class of nonlinear transformations
• On periodic points
• Periodic orbits and dynamical spectra (Survey)
• Topological Entropy
• Differentiable dynamical systems
• Chaos
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