Degree Complexity of a Family of Birational Maps

Abstract

We compute the degree complexity of a family of birational mappings of the plane with high order singularities.

References in corpus (9)

• Algebraic entropy
• Algebraic entropy and the space of initial values for discrete dynamical systems
• Complexity spectrum of some discrete dynamical systems
• Discrete dynamical systems associated with root systems of indefinite type
• A geometric approach to singularity confinement and algebraic entropy
• Real Arnold complexity versus real topological entropy for birational transformations
• Rational dynamical zeta functions for birational transformations
• Integrable mappings and polynomial growth
• Post-critical set and non existence of preserved meromorphic two-forms

Cited by in corpus (1)

• A birational mapping with a strange attractor: Post critical set and covariant curves