Algebraic entropy and the space of initial values for discrete dynamical systems
From MaRDI portal
Publication:2773082
DOI10.1088/0305-4470/34/48/317zbMath0999.37028arXivnlin/0103011OpenAlexW3105824894MaRDI QIDQ2773082
Publication date: 5 December 2002
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0103011
Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)
Related Items
Rational surfaces with a large group of automorphisms, Rational surface automorphisms preserving cuspidal anticanonical curves, Singularity confinement as an integrability criterion, Space of initial conditions and geometry of two 4-dimensional discrete Painlevé equations, On the singularity structure of the discrete KdV equation, Bi-rational maps in four dimensions with two invariants, Geometry of an elliptic difference equation related to Q4, The Extension of Integrable Mappings to Non-Commuting Variables, Differential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach, Growth and integrability of some birational maps in dimension three, Full-parameter discrete Painlevé systems from non-translational Cremona isometries, Degree complexity of a family of birational maps, Dynamics on blowups of the projective plane, A class of integrable and nonintegrable mappings and their dynamics, Elementary exact calculations of degree growth and entropy for discrete equations, Degree-growth of monomial maps, Continuous families of rational surface automorphisms with positive entropy, Tropical representation of Weyl groups associated with certain rational varieties, Restoring discrete Painlevé equations from an E8(1)-associated one, A note on minimization of rational surfaces obtained from birational dynamical systems, SPACE OF INITIAL VALUES OF A MAP WITH A QUARTIC INVARIANT, Arithmetical Method to Detect Integrability in Maps, Calculation of algebraic entropies of d-PIV and d-PV, A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants, Calculating algebraic entropies: an express method, Algebraic entropy computations for lattice equations: why initial value problems do matter, A class of integrable non-QRT mappings and their deautonomisation, Singularity confinement and full-deautonomisation: a discrete integrability criterion
