Time-preserving structural stability of hyperbolic differential dynamics with noncompact phase spaces
Xiongping Dai
TL;DR
This paper investigates the structural stability of hyperbolic differential systems on Euclidean spaces, employing Liao theory to analyze their robustness under perturbations.
Contribution
It introduces a novel application of Liao theory to establish time-preserving structural stability for hyperbolic differential dynamics in noncompact phase spaces.
Findings
Established conditions for structural stability using Liao theory
Demonstrated stability in noncompact Euclidean phase spaces
Extended hyperbolic dynamics stability results to broader settings
Abstract
In this paper, we study the structural stability of hyperbolic differential systems on Euclidean spaces using Liao theory.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Stability and Controllability of Differential Equations