Xiaolong He
Abstract
We prove the simultaneous conjugation of commuting foliation preserving torus maps by the KAM method. We also explore the relationship between the conjugation theory and the existence and analyticity of solutions for differential equations with time-varying delays.
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We prove the simultaneous conjugation of commuting foliation preserving torus maps by the KAM method. We also explore the relationship between the conjugation theory and the existence and analyticity of solutions for differential equations with time-varying delays.
Key concepts: Torus, Foliation (geology), Mathematics, Differential (mechanical device), Mathematical analysis, Pure mathematics, Geometry, Physics