A Novel Approach for Estimating Largest Lyapunov Exponents in One-Dimensional Chaotic Time Series Using Machine Learning
Fuente:
arXiv
Saved in:
| Main Authors: | Velichko, A., Belyaev, M., Boriskov, P. |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Local Lyapunov analysis via micro-ensembles: finite-time Lyapunov exponent estimation and KNN-based predictive comparison in complex-valued BAM neural networks
by: Muruganantham, Yazhini, et al.
Published: (2025)
by: Muruganantham, Yazhini, et al.
Published: (2025)
Input Driven Synchronization of Chaotic Neural Networks with Analyticaly Determined Conditional Lyapunov Exponents
by: Culp, Jordan, et al.
Published: (2024)
by: Culp, Jordan, et al.
Published: (2024)
Memory principle of the Matlab code for Lyapunov Exponents of fractional order
by: Danca, Marius-F., et al.
Published: (2024)
by: Danca, Marius-F., et al.
Published: (2024)
Horizon-Constrained Rashomon Sets for Chaotic Forecasting
by: Kale, Gauri, et al.
Published: (2026)
by: Kale, Gauri, et al.
Published: (2026)
Chaotic CNN for Limited Data Image Classification
by: M, Anusree, et al.
Published: (2026)
by: M, Anusree, et al.
Published: (2026)
Beyond the Largest Lyapunov Exponent: Entropy-Based Diagnostics of Chaos in Henon-Heiles and N-Body Dynamics
by: Trani, Alessandro Alberto, et al.
Published: (2026)
by: Trani, Alessandro Alberto, et al.
Published: (2026)
Attractor Memory for Long-Term Time Series Forecasting: A Chaos Perspective
by: Hu, Jiaxi, et al.
Published: (2024)
by: Hu, Jiaxi, et al.
Published: (2024)
Deep Learning for Analyzing Chaotic Dynamics in Biological Time Series: Insights from Frog Heart Signals
by: Mayora-Cebollero, Carmen, et al.
Published: (2025)
by: Mayora-Cebollero, Carmen, et al.
Published: (2025)
ChaosNetBench: Benchmarking Spatio-Temporal Graph Neural Networks on Chaotic Lattice Dynamics
by: Moges, Henok Tenaw, et al.
Published: (2026)
by: Moges, Henok Tenaw, et al.
Published: (2026)
On Nonlinear Dynamics Of A Nonideal Magnetic System With Shape Memory Alloy To Energy Harvesting Using Uncertainty Exponent And Entropy Of Basin Of Attractions Approaches
by: Ribeiro, A, et al.
Published: (2025)
by: Ribeiro, A, et al.
Published: (2025)
Machine-Precision Prediction of Low-Dimensional Chaotic Systems
by: Schötz, Christof, et al.
Published: (2025)
by: Schötz, Christof, et al.
Published: (2025)
FEG-Pro: Forecast-Error Growth Profiling for Finite-Horizon Instability Analysis of Nonlinear Time Series
by: Velichko, Andrei, et al.
Published: (2026)
by: Velichko, Andrei, et al.
Published: (2026)
Machine Learning for Predicting Chaotic Systems
by: Schötz, Christof, et al.
Published: (2024)
by: Schötz, Christof, et al.
Published: (2024)
Retrodicting Chaotic Systems: An Algorithmic Information Theory Approach
by: Dingle, Kamal, et al.
Published: (2025)
by: Dingle, Kamal, et al.
Published: (2025)
High Energy States of Recurrent Chaotic Trajectories in Time-Dependent Potential Well
by: Palmero, Matheus S., et al.
Published: (2025)
by: Palmero, Matheus S., et al.
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)
Turning Time Series into Algebraic Equations: Symbolic Machine Learning for Interpretable Modeling of Chaotic Time Series
by: Panja, Madhurima, et al.
Published: (2026)
by: Panja, Madhurima, et al.
Published: (2026)
Comment on the paper 'Saturation and Multifractality of Lagrangian and Eulerian Scaling Exponents in Three-Dimensional Turbulence'
by: Sirota, V. A., et al.
Published: (2024)
by: Sirota, V. A., et al.
Published: (2024)
A Deep Learning Framework for Identifying Weakly Chaotic, Strongly Chaotic, Resonant and Non-resonant Orbits in the Generalized Kicked Rotator
by: Zu, Jian, et al.
Published: (2025)
by: Zu, Jian, et al.
Published: (2025)
Deciphering Complexity: Machine Learning Insights into Chaotic Dynamical Systems
by: Osmanov, Lazare
Published: (2024)
by: Osmanov, Lazare
Published: (2024)
Learning Interpretable Hierarchical Dynamical Systems Models from Time Series Data
by: Brenner, Manuel, et al.
Published: (2024)
by: Brenner, Manuel, et al.
Published: (2024)
Computing Chaotic Time-Averages from Few Periodic or Non-Periodic Orbits
by: Pughe-Sanford, Joshua L., et al.
Published: (2023)
by: Pughe-Sanford, Joshua L., et al.
Published: (2023)
Two-Player Yorke's Game of Survival in Chaotic Transients
by: Alfaro, Gaspar, et al.
Published: (2025)
by: Alfaro, Gaspar, et al.
Published: (2025)
Chaotic Switching In The Minimal Pendula Network
by: Ebrahimzadeh, Pezhman, et al.
Published: (2026)
by: Ebrahimzadeh, Pezhman, et al.
Published: (2026)
Learning the Chaotic and Regular Nature of Trajectories in Hamiltonian Systems with Lagrangian descriptors
by: López, Javier Jiménez, et al.
Published: (2024)
by: López, Javier Jiménez, et al.
Published: (2024)
Heart Rate Variability Series is the Output of a non-Chaotic System driven by Dynamical Noise
by: Bianco, M., et al.
Published: (2024)
by: Bianco, M., et al.
Published: (2024)
Chaotic stochastic resonance in Mackey-Glass equations
by: Kojima, Eiki, et al.
Published: (2025)
by: Kojima, Eiki, et al.
Published: (2025)
Chaotic fields out of equilibrium are observable independent
by: Lippolis, Domenico
Published: (2024)
by: Lippolis, Domenico
Published: (2024)
Lyapunov and Reversibility error invariant indicators
by: Panichi, Federico, et al.
Published: (2025)
by: Panichi, Federico, et al.
Published: (2025)
Chaotic mechanism description by an elementary mixer for the template of an attractor
by: Rosalie, Martin
Published: (2017)
by: Rosalie, Martin
Published: (2017)
Using Intermittent Chaotic Clocks to Secure Cryptographic Chips
by: Darya, Abdollah Masoud, et al.
Published: (2024)
by: Darya, Abdollah Masoud, et al.
Published: (2024)
Chaotic Flexural Vibrations in Biomimetic Scale Substrates
by: Bateniparvar, Omid, et al.
Published: (2026)
by: Bateniparvar, Omid, et al.
Published: (2026)
Chaotic and non-chaotic mixed oscillations in a logistic systems with delay
by: Berezowski, Marek, et al.
Published: (2016)
by: Berezowski, Marek, et al.
Published: (2016)
Improved Matlab code for Lyapunov exponents of fractional order systems
by: Danca, Marius-F.
Published: (2026)
by: Danca, Marius-F.
Published: (2026)
Eulerian-Lagrangian scaling of the Lyapunov exponent in homogeneous turbulence
by: Ge, Jin, et al.
Published: (2025)
by: Ge, Jin, et al.
Published: (2025)
Using Machine Learning and Neural Networks to Analyze and Predict Chaos in Multi-Pendulum and Chaotic Systems
by: Ramachandruni, Vasista, et al.
Published: (2025)
by: Ramachandruni, Vasista, et al.
Published: (2025)
Joint Reduced Model for the Laminar and Chaotic Attractors in Plane Couette Flow
by: Kaszás, Bálint, et al.
Published: (2025)
by: Kaszás, Bálint, et al.
Published: (2025)
Resolvent-Based Optimisation for Approximating the Statistics of a Chaotic Lorenz System
by: Burton, Thomas, et al.
Published: (2024)
by: Burton, Thomas, et al.
Published: (2024)
Predicting Chaotic System Behavior using Machine Learning Techniques
by: Rao, Huaiyuan, et al.
Published: (2024)
by: Rao, Huaiyuan, et al.
Published: (2024)
Correlation Dimension of Auto-Regressive Large Language Models
by: Du, Xin, et al.
Published: (2025)
by: Du, Xin, et al.
Published: (2025)
Similar Items
-
Local Lyapunov analysis via micro-ensembles: finite-time Lyapunov exponent estimation and KNN-based predictive comparison in complex-valued BAM neural networks
by: Muruganantham, Yazhini, et al.
Published: (2025) -
Input Driven Synchronization of Chaotic Neural Networks with Analyticaly Determined Conditional Lyapunov Exponents
by: Culp, Jordan, et al.
Published: (2024) -
Memory principle of the Matlab code for Lyapunov Exponents of fractional order
by: Danca, Marius-F., et al.
Published: (2024) -
Horizon-Constrained Rashomon Sets for Chaotic Forecasting
by: Kale, Gauri, et al.
Published: (2026) -
Chaotic CNN for Limited Data Image Classification
by: M, Anusree, et al.
Published: (2026)