Analysis of the Chaotic Itinerancy Phenomenon using Entropy and Clustering
Fuente:
arXiv
Saved in:
| Main Authors: | Mierski, Nikodem, Pilarczyk, Paweł |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Chaotic Dynamics and Zero Distribution: Implications and Applications in Control Theory for Yitang Zhang's Landau Siegel Zero Theorem
by: Rafik, Zeraoulia, et al.
Published: (2023)
by: Rafik, Zeraoulia, et al.
Published: (2023)
Cluster Analysis for Globally Coupled Map using Optimal Transport Distance and Complexity of Attractor-ruin
by: Wada, Koji, et al.
Published: (2025)
by: Wada, Koji, et al.
Published: (2025)
Chaotic discretization theorems for forced linear and nonlinear coupled oscillators
by: Disca, Stefano, et al.
Published: (2025)
by: Disca, Stefano, et al.
Published: (2025)
Asymptotic cycles in fractional generalizations of multidimensional maps
by: Edelman, Mark
Published: (2024)
by: Edelman, Mark
Published: (2024)
Asymptotically periodic and bifurcation points in fractional difference maps
by: Edelman, Mark
Published: (2024)
by: Edelman, Mark
Published: (2024)
Recurrence and Stickiness in the Noisy Harper Map
by: Homan, J. R., et al.
Published: (2025)
by: Homan, J. R., et al.
Published: (2025)
On Fractional Generalizations of the Logistic Map and their Applications
by: Edelman, Mark
Published: (2025)
by: Edelman, Mark
Published: (2025)
Using Echo-State Networks to Reproduce Rare Events in Chaotic Systems
by: Erofeev, Anton, et al.
Published: (2025)
by: Erofeev, Anton, et al.
Published: (2025)
Three forms of dimension reduction for border-collision bifurcations
by: Simpson, David J. W.
Published: (2024)
by: Simpson, David J. W.
Published: (2024)
Stable laws for random dynamical systems
by: Aimino, Romain, et al.
Published: (2022)
by: Aimino, Romain, et al.
Published: (2022)
If our chaotic operator is derived correctly, then the Riemann hypothesis holds true
by: Rafik, Zeraoulia, et al.
Published: (2024)
by: Rafik, Zeraoulia, et al.
Published: (2024)
Ergodic approach to the study of boundedness of solutions of one type of the first-order semilinear difference equations
by: Chaikovskyi, Andrii, et al.
Published: (2025)
by: Chaikovskyi, Andrii, et al.
Published: (2025)
From two-dimensional continuous maps to one-dimensional discontinuous maps: a novel reduction explaining complex bifurcation structures in piecewise-linear families of maps
by: Simpson, D. J. W., et al.
Published: (2025)
by: Simpson, D. J. W., et al.
Published: (2025)
Robust chaos in $\mathbb{R}^n$
by: Ghosh, Indranil, et al.
Published: (2024)
by: Ghosh, Indranil, et al.
Published: (2024)
The two-dimensional border-collision normal form with a zero determinant
by: Simpson, David J. W.
Published: (2024)
by: Simpson, David J. W.
Published: (2024)
An elementary derivation of 3-cycles for a quadratic map
by: Benyi, Arpad, et al.
Published: (2025)
by: Benyi, Arpad, et al.
Published: (2025)
Attractor learning for spatiotemporally chaotic dynamical systems using echo state networks with transfer learning
by: Alam, Mohammad Shah, et al.
Published: (2025)
by: Alam, Mohammad Shah, et al.
Published: (2025)
Further results for a family of continuous piecewise linear planar maps
by: Cima, Anna, et al.
Published: (2025)
by: Cima, Anna, et al.
Published: (2025)
Extensions of $\mathcal{KL}$ and Lyapunov Functions for Discrete-time Dynamical System Peaks Analysis
by: Adjé, Assalé
Published: (2024)
by: Adjé, Assalé
Published: (2024)
The problem of infinite information flow
by: Bian, Zheng, et al.
Published: (2025)
by: Bian, Zheng, et al.
Published: (2025)
Bistability and chaos in the discrete two-gene Andrecut-Kauffman model
by: Rosman, Mikołaj, et al.
Published: (2024)
by: Rosman, Mikołaj, et al.
Published: (2024)
Multifractal analysis of intermingled basins and blowout bifurcations in a parametetric family of skew product maps
by: Ghane, Fatemeh Helen, et al.
Published: (2025)
by: Ghane, Fatemeh Helen, et al.
Published: (2025)
Birkhoff sum convergence of Fréchet observables to stable laws for Gibbs-Markov systems and applications
by: Chen, An, et al.
Published: (2024)
by: Chen, An, et al.
Published: (2024)
Computing Lyapunov Exponents using Weighted Birkhoff Averages
by: Sander, E., et al.
Published: (2024)
by: Sander, E., et al.
Published: (2024)
On the shifts of stable and unstable manifolds of a hyperbolic cycle under perturbation
by: Wei, Wenyin, et al.
Published: (2024)
by: Wei, Wenyin, et al.
Published: (2024)
Constrained Ergodic optimization for generic continuous functions
by: Motonaga, Shoya, et al.
Published: (2022)
by: Motonaga, Shoya, et al.
Published: (2022)
A Mathematical Framework for Linear Response Theory for Nonautonomous Systems
by: Galatolo, Stefano, et al.
Published: (2026)
by: Galatolo, Stefano, et al.
Published: (2026)
Deformation of invariant tori under perturbation
by: Wei, Wenyin, et al.
Published: (2024)
by: Wei, Wenyin, et al.
Published: (2024)
Scaling of the rotation number for perturbations of rational rotations
by: Glendinning, Paul
Published: (2025)
by: Glendinning, Paul
Published: (2025)
Piecewise linear circle maps and conjugation to rigid rational rotations
by: Glendinning, Paul, et al.
Published: (2025)
by: Glendinning, Paul, et al.
Published: (2025)
On the accumulation points of non-periodic orbits of a difference equation of fourth order
by: Bas, Antonio Linero, et al.
Published: (2023)
by: Bas, Antonio Linero, et al.
Published: (2023)
Rate distortion dimension and ergodic decomposition for $\mathbb{R}^d$-actions
by: Tsukamoto, Masaki
Published: (2025)
by: Tsukamoto, Masaki
Published: (2025)
Linear response due to singularities
by: Bahsoun, Wael, et al.
Published: (2023)
by: Bahsoun, Wael, et al.
Published: (2023)
On distinguishing genuine from spurious chaos in planar singular and nonsmooth systems: A diagnostic approach
by: Ramírez, Martha Alvarez
Published: (2026)
by: Ramírez, Martha Alvarez
Published: (2026)
A Hamiltonian formulation for the motion of an active spheroidal particle suspended in laminar straight duct flow
by: Harding, Brendan, et al.
Published: (2025)
by: Harding, Brendan, et al.
Published: (2025)
Osculatory Dynamics: Framework for the Analysis of Oscillatory Systems
by: Thiel, Marco
Published: (2024)
by: Thiel, Marco
Published: (2024)
Attractors in $k$-dimensional discrete systems of mixed monotonicity
by: AlSharawi, Ziyad, et al.
Published: (2024)
by: AlSharawi, Ziyad, et al.
Published: (2024)
An improved approach for estimating the dimension of inertial manifolds in chaotic distributed dynamical systems via analysis of angles between tangent subspaces
by: Kuptsov, Pavel V.
Published: (2025)
by: Kuptsov, Pavel V.
Published: (2025)
RG-Based Local Hopf Reduction and Slow-Manifold Reconstruction for Nonlinear Aeroelastic Systems
by: Chen, Gelin, et al.
Published: (2026)
by: Chen, Gelin, et al.
Published: (2026)
Thermodynamic formalism for piecewise expanding maps in finite dimension
by: Baladi, Viviane, et al.
Published: (2023)
by: Baladi, Viviane, et al.
Published: (2023)
Similar Items
-
Chaotic Dynamics and Zero Distribution: Implications and Applications in Control Theory for Yitang Zhang's Landau Siegel Zero Theorem
by: Rafik, Zeraoulia, et al.
Published: (2023) -
Cluster Analysis for Globally Coupled Map using Optimal Transport Distance and Complexity of Attractor-ruin
by: Wada, Koji, et al.
Published: (2025) -
Chaotic discretization theorems for forced linear and nonlinear coupled oscillators
by: Disca, Stefano, et al.
Published: (2025) -
Asymptotic cycles in fractional generalizations of multidimensional maps
by: Edelman, Mark
Published: (2024) -
Asymptotically periodic and bifurcation points in fractional difference maps
by: Edelman, Mark
Published: (2024)