Solvable Chaos

Abstract

We present classes of discrete reversible systems which are at the same time chaotic and solvable.

References in corpus (6)

• Algebraic entropy
• Singularity confinement and chaos in discrete systems
• Singularity, complexity, and quasi--integrability of rational mappings
• Method of constructing exactly solvable chaos
• Non Proliferation of Preimages in Integrable Mappings
• Exactly solvable chaos and addition theorems of elliptic functions

Cited by in corpus (5)

• Darboux Integrability of Trapezoidal $H^4$ and $H^6$ Families of Lattice Equations II: General Solutions
• Ultradiscretization of a solvable two-dimensional chaotic map associated with the Hesse cubic curve
• Algebraic entropy for algebraic maps
• Reconstructing a Lattice Equation: a Non-Autonomous Approach to the Hietarinta Equation
• Linear degree growth in lattice equations