Search for invariant sets of the generalized tent map

DOI10.1080/10236198.2022.2119851zbMath1529.39014arXiv2111.08904OpenAlexW3211369348MaRDI QIDQ6065929

Alexander Stokolos, A. E. Radunskaya, Unnamed Author, Dmitriy Dmitrishin, Kimberly Ayers

Publication date: 11 December 2023

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.08904

zbMATH Keywords

periodic orbitsinvariant setspredictive controllocal stabilizationgeneralized tent map

Mathematics Subject Classification ID

Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30) Numerical methods for difference equations (65Q10) Computational methods for invariant manifolds of dynamical systems (37M21)

Related Items (1)

Foreword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’

Cites Work

• Further stability results for a generalization of delayed feedback control
• Methods of harmonic analysis in nonlinear dynamics
• A two-dimensional mapping with a strange attractor
• Prediction-based control of chaos
• Control of chaos: methods and applications. I: Methods
• Dynamical representation of real numbers and its universality
• Collapsing of chaos in one dimensional maps
• Finding all periodic orbits of maps using Newton methods: Sizes of basins
• A new method for finding cycles by semilinear control
• Mixed-mode oscillation in a class of delayed feedback system and multistability dynamic response
• Connections among several chaos feedback control approaches and chaotic vibration control of mechanical systems
• Stabilizing chaos with predictive control
• Can we trust in numerical computations of chaotic solutions of dynamical systems ?
• Computer assisted proof of chaos in the Rössler equations and in the Hénon map
• Period Three Implies Chaos
• Controlling chaos
• Rigorous investigation of the Ikeda map by means of interval arithmetic
• Characterization of unstable periodic orbits in chaotic attractors and repellers
• INTERVAL METHODS FOR RIGOROUS INVESTIGATIONS OF PERIODIC ORBITS
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