Symbolic partition in chaotic maps
From MaRDI portal
Publication:3388691
DOI10.1063/5.0042705zbMath1466.37062arXiv2101.09396OpenAlexW3125180948MaRDI QIDQ3388691
Publication date: 6 May 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.09396
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Computational methods for invariant manifolds of dynamical systems (37M21) Computational methods for attractors of dynamical systems (37M22)
Cites Work
- The dynamics of the Hénon map
- The topology of nested homoclinic and heteroclinic tangles
- A two-dimensional mapping with a strange attractor
- Periodic orbits as the skeleton of classical and quantum chaos
- An efficient method for computing invariant manifolds of planar maps
- Improved cost functions for modelling of noisy chaotic time series
- From template analysis to generating partitions. I: Periodic orbits, knots and symbolic encodings
- From template analysis to generating partitions. II: Characterization of the symbolic encodings
- Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps
- Partitioning two-dimensional mixed phase spaces
- Recurrence networks—a novel paradigm for nonlinear time series analysis
- Bias analysis in entropy estimation
- On the topology of the Henon map
- On the symbolic dynamics of the Henon map
- Homoclinic tangencies, generating partitions and curvature of invariant manifolds
- Forcing Relations for Homoclinic Orbits of the Smale Horseshoe Map
- Trellises Formed by Stable and Unstable Manifolds in the Plane
- Structure of generating partitions for two-dimensional maps
- Scaling properties of a scattering system with an incomplete horseshoe
- Entropy estimation of symbol sequences
- SYMBOLIC DYNAMICS FROM HOMOCLINIC TANGLES
- Chaos in Dynamical Systems
- Homoclinic tangles-classification and applications
- Characterization of unstable periodic orbits in chaotic attractors and repellers
- A Note on Entropy Estimation
- THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS
- Generating partitions in Hénon-type maps
- A variational approach to connecting orbits in nonlinear dynamical systems
- Unnamed Item
- Unnamed Item
This page was built for publication: Symbolic partition in chaotic maps
