Parameter-shifted shadowing property for geometric Lorenz attractors

2003/12/08 by Shin Kiriki, Kiriki, Shin, Teruhiko Soma +1
Mathematics · Physics and Astronomy · #37C50 #37D45(Primary) 58F13(Secondary) #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.math/0312161

openalex publication_date 2003/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we will show that any geometric Lorenz flow in a definite class satisfies the parameter-shifted shadowing property.

Citations

• Pseudo-orbit shadowing in the family of tent maps

Related

• On Various Types of Shadowing for Geometric Lorenz Flows
• Shadowing for codimension one sectional-Anosov flows
• Computing geometric Lorenz attractors with arbitrary precision
• Shadowable Points for flows
• Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model