Evolution profiles and functional equations

Abstract

Time evolution is formulated and discussed in the framework of Schroeder's functional equation. The proposed method yields smooth, continuous dynamics without the prior need for local propagation equations.

This paper, and its sequel arXiv:1002.0104 [nlin.CD], are dedicated to Murray Gell-Mann on the occasion of his 80th birthday

References in corpus (1)

• The Schröder functional equation and its relation to the invariant measures of chaotic maps

Cited by in corpus (8)

• Deterministic chaos and fractal entropy scaling in Floquet CFT
• Renormalization Group Functional Equations
• Logistic Map Potentials
• Chaotic Maps, Hamiltonian Flows, and Holographic Methods
• Approximate Solutions of Functional Equations
• A reappraisal of Lagrangians with non-quadratic velocity dependence and branched Hamiltonians
• Potentials Unbounded Below
• Generalized Liénard systems and isochronous connections