1. Reduced order modeling with shallow recurrent decoder networks
   2025/02/15 by Matteo Tomasetto, Tomasetto, Matteo, Jan P. Williams +7 · 10 citations
   Computer Science · Physics and Astronomy · #Chaotic #Compressed sensing #Curse of dimensionality #Dimensionality reduction #Generative Adversarial Networks and Image Synthesis #Hyperparameter #Model Reduction and Neural Networks #Neural Networks and Reservoir Computing #Nonlinear system #Parametric statistics #Reduction (mathematics)
2. Time-Lagged Recurrence: a data-driven method to estimate the predictability of dynamical systems
   2024/09/23 by Chenyu Dong, Davide Faranda, Adriano Gualandi +2 · 1 voice · 4 citations
   Computer Science · Economics, Econometrics and Finance · Environmental Science · Mathematics · #Artificial intelligence #Chaotic #Climate variability and models #Complex Systems and Time Series Analysis #Computer science #Data science #Dynamical system (definition) #Dynamical systems theory #Econometrics #Ecosystem dynamics and resilience #Lyapunov exponent #Mathematics #Nonlinear dynamical systems #Nonlinear system #Operator (biology) #Physics #Predictability #Recurrence quantification analysis #Representation (politics) #Scale (ratio) #Statistical physics #Statistics #Time Series Analysis and Forecasting #Weighting
3. COCYCLES WITH QUASI-CONFORMALITY I: STABILITY AND ABUNDANCE
   2024/08/25 by Meysam Nassiri, Nassiri, Meysam, Hesam Rajabzadeh +3 · 1 citation
   Chemical Engineering · Chemistry · Engineering · Mathematics · Physics and Astronomy · Psychology · #Bounded function #CHAOS (operating system) #Carbon dioxide utilization in catalysis #Catalysis for Biomass Conversion #Chaos control and synchronization #Chaotic #Computer science #Econometrics #Inorganic and Organometallic Chemistry #Machine learning #Mathematical Dynamics and Fractals #Mathematics #Phenomenon #Psychology #Quantum chaos and dynamical systems #Series (stratigraphy) #Stability (learning theory) #Type (biology) #Uniform boundedness
4. Beam Management in Low Earth Orbit Satellite Networks With Random Traffic Arrival and Time-Varying Topology
   2024/05/02 by Jianfeng Zhu, Yaohua Sun, Mugen Peng · 2 citations
   Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #Aerospace engineering #Algorithm #Chaotic #Communications satellite #Computer network #Computer science #Electrical engineering #Engineering #Frequency allocation #Handover #Interconnection Networks and Systems #Lyapunov equation #Lyapunov exponent #Lyapunov optimization #Mathematical optimization #Mathematics #Network topology #Optimization problem #Orbit (dynamics) #Resource allocation #Satellite #Satellite Communication Systems #Topology (electrical circuits)
5. Synchronization of two non-identical Chialvo neurons
   2024/04/11 by Javier Used, Jesús M. Seoane, Used, Javier +7 · 2 citations
   Computer Science · Mathematics · Neuroscience · Physics and Astronomy · #Artificial intelligence #Artificial neural network #Biological neuron model #Biology #Chaotic #Chaotic Dynamics (nlin.CD) #Computer science #Control theory (sociology) #Coupling (piping) #FOS: Physical sciences #Function (biology) #Generality #Mathematics #Neural Networks and Applications #Neural dynamics and brain function #Neuron #Neuroscience #Noise (video) #Synchronization (alternating current) #Telecommunications #Topology (electrical circuits) #stochastic dynamics and bifurcation
6. Level Set Learning for Poincaré Plots of Symplectic Maps
   2023/12/01 by Maximilian Ruth, Ruth, Maximilian, David Bindel +1 · 1 citation
   Computer Science · Mathematics · #37N20 #65P10 #70K43 #Algorithm #Algorithms and Data Compression #Artificial intelligence #Chaotic #Computer science #Data mining #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Invariant (physics) #Kernel (algebra) #Mathematical physics #Mathematics #Measure (data warehouse) #Neural Networks and Applications #Numerical Analysis (math.NA) #Phase space #Physics #Plasma Physics (physics.plasm-ph) #Pure mathematics #Residual #Symplectic geometry #Symplectomorphism
7. An investigation of the survival probability for chaotic diffusion in a family of discrete Hamiltonian mappings
   2023/09/02 by Daniel Borin, André Luís Prando Livorati, André L. P. Livorati +2 · 3 citations
   Mathematics · Physics and Astronomy · #Anomalous diffusion #Chaotic #Computer science #Diffusion #Discrete time and continuous time #Exponential function #Mathematical analysis #Mathematics #Nonlinear system #Opinion Dynamics and Social Influence #Phase space #Physics #Probability density function #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Statistics #Theoretical and Computational Physics
8. Measuring irreversibility from learned representations of biological patterns
   2023/05/31 by Junang Li, Chih-Wei Joshua Liu, Li, Junang +5 · 6 citations
   Computer Science · Mathematics · Neuroscience · Physics and Astronomy · #Artificial intelligence #Artificial neural network #Biological Physics (physics.bio-ph) #Chaotic #Complex dynamics #Complex system #Computer science #Dynamical systems theory #FOS: Physical sciences #Living systems #Mathematics #Mesoscopic physics #Neural dynamics and brain function #Noise (video) #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Physics #Quantum mechanics #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #stochastic dynamics and bifurcation
9. The Dual Nature of Chaos and Order in the Atmosphere
   2022/11/12 by Bo‐Wen Shen, Roger A. Pielke, Xubin Zeng +6 · 1 citation
   Economics, Econometrics and Finance · Physics and Astronomy · Environmental Science · Mathematics · #Complex Systems and Time Series Analysis #Chaos control and synchronization #Ecosystem dynamics and resilience #Predictability #Attractor #Multistability #Chaotic #Statistical physics #Forcing (mathematics) #Butterfly effect #Limit (mathematics) #Lorenz system #Mathematics #Computer science #Meteorology #Applied mathematics #Physics #Nonlinear system #Mathematical analysis #Statistics
10. Schrödinger operators with potentials generated by hyperbolic transformations: I—positivity of the Lyapunov exponent
    2022/09/05 by Artur Avila, David Damanik, Zhenghe Zhang · 2 citations
    Computer Science · Mathematics · Physics and Astronomy · #Almost everywhere #Cellular Automata and Applications #Chaotic #Constant (computer programming) #Ergodic theory #Exponent #Hölder condition #Lyapunov exponent #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Pure mathematics #Quantum chaos and dynamical systems #Subshift of finite type
11. Identifying Nonlinear Dynamics with High Confidence from Sparse Data
    2022/06/28 by Bogdan Batko, Marcio Gameiro, Batko, Bogdan +9 · 1 citation
    Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Algebraic number #Applied mathematics #Artificial intelligence #Chaotic #Computer science #Dynamical Systems (math.DS) #Dynamical system (definition) #Dynamical systems theory #FOS: Mathematics #Gaussian #Gaussian Processes and Bayesian Inference #Gaussian process #Mass Spectrometry Techniques and Applications #Mathematical analysis #Mathematics #Nonlinear system #Physics #Scientific Research and Discoveries #Statistical physics
12. On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type
    2022/04/07 by Alexander N. Pchelintsev · 1 citation
    Physics and Astronomy · Earth and Planetary Sciences · Computer Science · Mathematics · #Quantum chaos and dynamical systems #Aquatic and Environmental Studies #Nonlinear Dynamics and Pattern Formation #Asymptote #Explosive material #Attractor #Piecewise #Type (biology) #Dynamical systems theory #Quadratic equation #Applied mathematics #Mathematics #Dynamical system (definition) #Chaotic #Extension (predicate logic) #Population #Computer science #Mathematical analysis #Physics #Geometry
13. Dynamics of Time-Delayed Optoelectronic Oscillators With Nonlinear Amplifiers and Its Potential Application to Random Numbers Generation
    2021/07/01 by Jimmi Hervé Talla Mbé, Jimmi H. Talla Mbe, William Nodem Atchoffo +4 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Amplifier #Chaos control and synchronization #Chaotic #Combinatorics #Computer science #Control theory (sociology) #Dynamical systems theory #Lyapunov exponent #Mathematics #Neural Networks and Reservoir Computing #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Optoelectronics #Physics #Quantum mechanics #Statistical physics #Topology (electrical circuits) #Transfer function
14. Is Weather Chaotic? Coexisting Chaotic and Non-chaotic Attractors Within Lorenz Models
    2021/01/01 by Bo‐Wen Shen, Bo-Wen Shen, Roger A. Pielke +13 · 2 citations
    Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Artificial intelligence #Attractor #Butterfly effect #Chaos control and synchronization #Chaotic #Chaotic hysteresis #Computer science #Control theory (sociology) #Lorenz system #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Physics #Predictability #Rössler attractor #Statistical physics #Statistics #Synchronization of chaos
15. Is Weather Chaotic?: Coexistence of Chaos and Order within a Generalized Lorenz Model
    2020/09/28 by Bo‐Wen Shen, Roger A. Pielke, Xubin Zeng +4 · 3 citations
    Physics and Astronomy · Economics, Econometrics and Finance · Mathematics · #Chaos control and synchronization #Complex Systems and Time Series Analysis #stochastic dynamics and bifurcation #Predictability #Attractor #Chaotic #Statistical physics #Lorenz system #Nonlinear system #Mathematics #Forcing (mathematics) #Scale (ratio) #Computer science #Applied mathematics #Physics #Mathematical analysis #Statistics #Artificial intelligence
16. The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension
    2020/08/11 by Н. В. Кузнецов, T. N. Mokaev, О. А. Кузнецова +1 · 1 citation
    Physics and Astronomy · Computer Science · Mathematics · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Attractor #Lorenz system #Lyapunov function #Mathematics #Lyapunov exponent #Context (archaeology) #Dimension (graph theory) #Chaotic #Stability (learning theory) #Boundary (topology) #Computation #Applied mathematics #Dynamical systems theory #Control theory (sociology) #Mathematical analysis #Computer science #Nonlinear system #Physics #Control (management) #Algorithm
17. Using local dynamics to explain analog forecasting of chaotic systems
    2020/07/22 by P Platzer, Paul Platzer, P. Platzer +16 · 3 citations
    Computer Science · Earth and Planetary Sciences · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Artificial intelligence #Chaotic #Climatology #Complex Systems and Time Series Analysis #Computer science #Dynamics (music) #Environmental science #Geology #Meteorological Phenomena and Simulations #Meteorology #Physics #Statistical physics #Time Series Analysis and Forecasting #nlin.CD #physics.data-an #stat.ML
18. An Accurate Numerical Method and Algorithm for Constructing Solutions of Chaotic Systems
    2020/06/01 by Alexander N. Pchelintsev · 2 citations
    Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Artificial intelligence #Chaos control and synchronization #Chaotic #Chaotic systems #Computer science #Dynamical systems theory #Lyapunov exponent #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Numerical analysis #Physics #Process (computing) #advanced mathematical theories #cs.NA #math.DS #math.NA #msc:34 #msc:65 #physics.comp-ph
19. Newton vs the machine: solving the chaotic three-body problem using deep neural networks
    2019/10/16 by Philip G. Breen, Christopher N. Foley, Tjarda Boekholt +1 · 4 voices · 8 citations
    Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Artificial intelligence #Artificial neural network #Chaotic #Computational Physics and Python Applications #Computer science #Discretization #Initialization #Integrator #Mathematical analysis #Mathematics #Model Reduction and Neural Networks #Phase space #Physics #Pulsars and Gravitational Waves Research #astro-ph.GA #astro-ph.SR #cs.LG #physics.comp-ph
20. Extended-range statistical ENSO prediction through operator-theoretic techniques for nonlinear dynamics
    2019/06/22 by Xinyang Wang, Wang, Xinyang, Joanna Slawinska +4 · 2 citations
    Earth and Planetary Sciences · Environmental Science · Mathematics · Physics and Astronomy · #Artificial intelligence #Atmospheric and Oceanic Physics (physics.ao-ph) #Benchmark (surveying) #Chaotic #Climate variability and models #Climatology #Computer science #Data Analysis #Econometrics #El Niño Southern Oscillation #FOS: Physical sciences #Forecast skill #Geography #Initialization #La Niña #Mathematics #Meteorological Phenomena and Simulations #Meteorology #Nonlinear system #Oceanographic and Atmospheric Processes #Predictability #Statistics #Statistics and Probability (physics.data-an) #physics.ao-ph #physics.data-an
21. Chaos in time delay systems, an educational review
    2019/01/31 by Hendrik Wernecke, Bulcsú Sándor, Claudius Gros · 1 citation
    Computer Science · Physics and Astronomy · #CHAOS (operating system) #Chaos control and synchronization #Chaos-based Image/Signal Encryption #Chaotic #Chaotic systems #Differential (mechanical device) #Emphasis (telecommunications) #Field (mathematics) #Quantum chaos and dynamical systems #Representation (politics) #Term (time) #nlin.CD
22. Effective field theory for chaotic CFTs
    2018/08/31 by Felix M. Haehl, Moshe Rozali · 1 citation
    Physics and Astronomy · #Black Holes and Theoretical Physics #Chaotic #Conformal field theory #Conformal map #Effective field theory #Field (mathematics) #Field theory (psychology) #Gauge theory #Homogeneous space #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Quantum many-body systems #cond-mat.stat-mech #hep-th #nlin.CD #quant-ph
23. Dynamical similarity
    2018/03/31 by David Sloan · 2 citations
    Mathematics · Physics and Astronomy · #Algebra over a field #Artificial intelligence #Black Holes and Theoretical Physics #Chaotic #Classical mechanics #Computer science #Context (archaeology) #Cosmology and Gravitation Theories #Dynamical systems theory #Embedding #Geometry #Hamiltonian (control theory) #Hamiltonian system #Homogeneous space #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Phase space #Physics #Pure mathematics #Quantum mechanics #Subalgebra #Symplectic geometry #Theoretical physics #gr-qc #hep-th
24. Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks
    2018/02/28 by Pantelis R. Vlachas, Wonmin Byeon, Zhong Y. Wan +2 · 2 citations
    Computer Science · Physics and Astronomy · #Artificial neural network #Chaos control and synchronization #Chaotic #Convergence (economics) #Gaussian #Inference #Invariant (physics) #Neural Networks and Applications #Neural Networks and Reservoir Computing #Nonlinear system #Series (stratigraphy) #cs.LG #nlin.CD #physics.comp-ph
25. Superradiant and lasing states in driven-dissipative Dicke models
    2017/10/31 by Peter Kirton, Jonathan Keeling · 1 citation
    Physics and Astronomy · #Chaotic #Density matrix #Lasing threshold #Mechanical and Optical Resonators #Nanolaser #Nonlinear Photonic Systems #Phase (matter) #Photon #Strong Light-Matter Interactions #Superradiance #Symmetry (geometry) #cond-mat.mes-hall #cond-mat.quant-gas #quant-ph
26. Periodic expansiveness of smooth surface diffeomorphisms and applications
    2017/05/24 by David Burguet, Burguet, David · 3 citations
    Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic number #Chaotic #Combinatorics #Computer science #Dynamical Systems (math.DS) #Entropy (arrow of time) #FOS: Mathematics #Geometry #Interval (graph theory) #Lyapunov exponent #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Periodic orbits #Physics #Pure mathematics #Quantum chaos and dynamical systems #Saddle #Saddle point #Surface (topology) #Topological entropy #Zero (linguistics) #math.DS
27. Memory reduction for numerical solution of differential equations using compressive sensing
    2017/03/01 by Midhun Parakkal Unni, M Girish Chandra, A. Anil Kumar · 1 citation
    Engineering · Computer Science · Mathematics · #Sparse and Compressive Sensing Techniques #Image and Signal Denoising Methods #Microwave Imaging and Scattering Analysis #Ode #Ordinary differential equation #Partial differential equation #Computer science #Reduction (mathematics) #Set (abstract data type) #Applied mathematics #Compressed sensing #Flow (mathematics) #Chaotic #Differential equation #Algorithm #Mathematical optimization #Mathematics #Mathematical analysis #Artificial intelligence
28. Kinematic dynamo, supersymmetry breaking, and chaos
    2015/12/05 by I. V. Ovchinnikov, Igor V. Ovchinnikov, T. A. Enßlin +1 · 3 citations
    Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Advanced Thermodynamics and Statistical Mechanics #Chaotic #Classical mechanics #Dynamo #Geomagnetism and Paleomagnetism Studies #Magnetic field #Physics #Quantum mechanics #Supersymmetry #Supersymmetry breaking #astro-ph.GA #nlin.CD
29. Estimation of Lyapunov dimension for the Chen and Lu systems
    2015/04/18 by G. A. Leonov, Г. А. Леонов, Н. В. Кузнецов +7 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Artificial intelligence #Attractor #Chaos control and synchronization #Chaotic #Chaotic Dynamics (nlin.CD) #Chen #Computer science #Dimension (graph theory) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Lorenz system #Lyapunov equation #Lyapunov exponent #Lyapunov function #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Physics #Pure mathematics #math.DS #nlin.CD #stochastic dynamics and bifurcation
30. Joint statistics of quantum transport in chaotic cavities
    2015/02/28 by Fabio Deelan Cunden, Paolo Facchi, Pierpaolo Vivo · 1 citation
    Mathematics · Physics and Astronomy · #Chaotic #Conductance #Joint (building) #Noise (video) #Phase (matter) #Phase diagram #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum many-body systems #Random matrix #Shot noise #Uncorrelated #cond-mat.stat-mech #math-ph #math.MP

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