Nonlinear Dynamics

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11 papers in the last four weeks, up 175% on the four weeks before. 0.1% of all new papers.

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  1. From Redundancy to Minimality: Fixed-Point-Guided Hierarchical Reduction of Learned Piecewise-Linear Dynamics

    Oct 1, 2026Hiroto Tamura, Gouhei TanakaNonlinear DynamicsNonlinearity

    Graduate School of Informatics, Osaka Metropolitan University, Osaka, Japan · International Research Center for Neurointelligence (IRCN), The University of Tokyo, Tokyo, Japan · Graduate School of Engineering, Nagoya Institute of Technology, Nagoya, Japan

  2. Admissibility-Preserving Control for Multi-Input Systems with Joint Capacity Constraints

    Sep 30, 2026Saurabh Kumar, Lohitvel Gopikannan, Shashi Ranjan Kumar +1Adaptive ControlInequality Constraints

    Intelligent Systems & Control (ISaC) Lab, Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai 400076, India · Guidance, Autonomy, Learning, and Control for Intelligent Systems (GALACxIS) Lab, Department of Aerospace Engineering, University of Cincinnati, OH 45221, USA

  3. On Parameters of Nonlinear Scalar Dynamics from Video: Invariants, Calibration, and Identifiability

    Sep 30, 2026Wenjie Wang, Yuanyuan Wang, Zixiang Jiang +2System IdentificationIdentifiability

    University of Melbourne · Mohamed bin Zayed University of Artificial Intelligence · Carnegie Mellon University

  4. Riccati State Space Models: Non-iterative Parallelization for Nonlinear Sequence Modeling

    Sep 28, 2026Mónika Farsang, Ramin Hasani, Daniela Rus +1State Space ModelsSequence Modeling

    TU Wien · MIT CSAIL · Liquid AI

  5. When Known Physics Helps Neural PDE Models: Residual Constraints Out-Regularize Generic Priors for Nonlinear Dynamics

    Sep 27, 2026Zahra Farazpay, Aniruddha BoraNeural Partial Differential Equation SolversHeat Diffusion

    Department of Physics Louisiana Tech University Ruston, LA, USA · Department of Computer Science Texas State University San Marcos, TX, USA

  6. Adapting neural operators for mechanics decisions under changing operating conditions

    Sep 27, 2026Prashant K. Jha, Koffi Enakoutsa, Ian Galloway +1Neural OperatorsMagnetic Tunnel Junction

    Department of Mechanical Engineering, South Dakota School of Mines and Technology, Rapid City, SD 57701, USA · Department of Mathematics, University of California, Los Angeles, Los Angeles, CA 90095, USA

  7. AFT Neural Function Approximators for 1D Nonlinear Force Laws

    Sep 24, 2026Miriam Goldack, Johann Groß, Malte Krack +1Nonlinear DynamicsFinite Element Method

    Technische Universität Berlin, Chair of Cyber-Physical Systems in Mechanical Engineering, Straße des 17. Juni 135, 10623 Berlin, Germany · University of Stuttgart, Institute of Aircraft Propulsion Systems, Pfaffenwaldring 6, 70569 Stuttgart, Germany

  8. LEAP-CBF: A Safety Filter for Uncertain Systems with Least-Effort Adversarial Potentials

    Sep 23, 2026Oswin So, Eric Yu, Chuchu FanSafety FiltersUncertain

    Massachusetts Institute of Technology.

  9. Learning Lyapunov Operators for Nonlinear Systems

    Sep 16, 2026Amartya Mukherjee, Maxwell Fitzsimmons, David C. Del Rey Fernández +1Fourier Neural OperatorsNonlinear Dynamics

    Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

  10. ResSafe: Learning Safety Filtering with Residual Reinforcement Learning for Humanoids

    Sep 14, 2026Gechen Qu, Tong Zhang, Bike Zhang +4Safety FiltersFull-Body Humanoid Control

    University of California, Berkeley · University of California, Los Angeles

  11. Tensor-Train Weak SINDy: Identifying High-Dimensional Nonlinear Dynamics

    Sep 8, 2026Will Houser, Vanja Dukic, David M. BortzSystem IdentificationNonlinear Dynamics

    Department of Applied Mathematics, University of Colorado, Boulder, CO 80309-0526 USA

  12. Koopman-Based Robust Model Predictive Control for Nonlinear Systems with Stochastic Intermittent Measurements

    Sep 2, 2026Guanhua Liu, Tong Wu, Lixian Zhang +2Model Predictive ControlClosed-Loop Feedback

    State Key Laboratory of Robotics and Systems, Harbin Institute of Technology, China · School of Astronautics, Harbin Institute of Technology, China · Nanyang Environment and Water Research Institute (NEWRI), Nanyang Technological University, Singapore

  13. Exploring Nonlinear Body Oscillations for Natural Quadruped Gaits

    Sep 1, 2026Annika Schmidt, Davide Calzolari, Arne Sachtler +13Nonlinear DynamicsOscillatory Dynamics

    Technical University of Munich (TUM), Department of Computer Engineering, Germany. · German Aerospace Center (DLR), Institute of Robotics and Mechatronics, Weßling, Germany. · Eindhoven University of Technology (TU/e), Department of Mechanical Engineering, The Netherlands. +1

  14. Data-driven Koopman mode approximation: A neural power iteration algorithm

    Aug 27, 2026Guillaume O. Berger, Raphaël M. JungersKoopman OperatorNonlinear Dynamics

    ICTEAM, UCLouvain, Louvain-la-Neuve, Belgium

  15. Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems

    Aug 11, 2026Yanting Zhou, Jozsef Kövecses, James Richard ForbesKoopman OperatorHaptic Feedback

  16. End-to-End Neural Decomposition with Koopman Operators for Time-Series Forecasting

    Aug 9, 2026De-Yan Lu, Xugang Lu, Yu Tsao +1Koopman OperatorTime Series Forecasting

    Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan · National Institute of Information and Communications Technology, Kyoto, Japan · Research Center for Information Technology Innovation, Academic Sinica, Taipei, Taiwan

  17. Spectral Distillation: From Nonlinear Dynamics to Linear State-Space Models

    Aug 5, 2026Liane Galanti, Devan Shah, Shlomo Fortgang +1System IdentificationNonlinear Dynamics

    Princeton University

  18. Certified Feedforward Tracking for Unknown Nonlinear Systems via Invertible Neural Networks

    Aug 5, 2026Berk Altiner, Rajasree Sarkar, Arunava Banerjee +2Robust ControlNonlinear Dynamics

    Department of Mechanical Engineering, University of Minnesota–Twin Cities, Minneapolis, MN 55455, USA · DEVCOM Army Research Laboratory, Aberdeen Proving Ground, Aberdeen, MD 21005, USA

  19. Beyond Linear Dynamics: Neural Bilinear Dynamical Models for Time Series Forecasting

    Aug 5, 2026Mengzhou Gao, Huangqian Yu, Pengfei JiaoLong-Horizon ForecastingNonlinear Dynamics

    Hangzhou Dianzi University Hangzhou, China

  20. A Forward-Inverse Dynamic Game Framework for Enhanced Multi-Agent Trajectory Planning

    Aug 3, 2026Tianle Liu, Youcheng Niu, Jing Zeng +2Mean Field GamesRobust Trajectory

    College of Control Science and Engineering, Zhejiang University, Hangzhou 310027, China

  21. Temperature-driven inversion and nonlinear dynamics in ChatGPT-like AIs

    Aug 2, 2026Neil F. Johnson, Frank Yingjie Huo, Bella Xinrui LiNonlinear DynamicsOpenai

    Department of Physics, The George Washington University Washington, DC 20052, USA

  22. Verifier-Guided Model Discovery for Physical Dynamical Systems with Pretrained Symbolic Transformers

    Aug 1, 2026Farbod Faraji, Francesco BelardinelliVortexDynamical Systems

    Department of Computing, Huxley Building, Imperial College London 180 Queen’s Gate, South Kensington, London SW7 2RH, United Kingdom

  23. From Classification to Regression: Using a Fruitfly to Solve Equations

    Jul 29, 2026Shady E. Ahmed, Panos StinisNonlinear DynamicsSymbolic Regression

    Advanced Computing, Mathematics, and Data Division Pacific Northwest National Laboratory Richland, WA 99354

  24. MetaKoopman: Bayesian Meta-Learning of Koopman Operators for Modeling Structured Dynamics under Distribution Shifts

    Jul 28, 2026Mahmoud Selim, Sriharsha Bhat, Karl H. JohanssonKoopman OperatorModel Predictive Control

    TRATON · KTH Royal Institute of Technology

  25. Learning switched non-linear dynamical systems from a single trajectory

    Jul 26, 2026Sunny G. W. Wang, Hemant TyagiNonlinear DynamicsEmpirical Risk Minimization

    Division of Mathematical Sciences, SPMS, NTU Singapore 637371

  26. Relative Entropy-Bounded Ambiguous Chance Constraints for Robust Planning in Nonlinear Systems

    Jul 18, 2026Trevor N. Wolf, Jay W. McMahonStochastic Optimal ControlIntent-Aligned Autonomous Spacecraft Guidance

    Smead Department of Aerospace Engineering Sciences, University of Colorado Boulder, Boulder, CO 80303, USA

  27. An Introduction to Sparse Identification of Nonlinear Dynamics for Engineering Applications

    Jul 16, 2026Yao Cheng Li, Ana Larrañaga, Steven L. Brunton +1System IdentificationNonlinear Dynamics

    Department of Aeronautics, Imperial College London, SW7 2AZ, United Kingdom · Department of Mechanical Engineering, University of Washington, Seattle, WA 98195, USA · NSF AI Institute in Dynamic Systems, University of Washington, Seattle, WA 98195, USA

  28. Structured Fluctuations and the Information Dynamics of Self-Maintenance in Growing Neural Cellular Automata

    Jul 14, 2026Atsushi Masumori, Hiroki Sato, Takashi IkegamiNeural Cellular AutomataSelf-Repair

    The University of Tokyo · Atomi University · Alternative Machine Inc.

  29. Heuristic Learning for Active Flow Control Using Coding Agents

    Jul 13, 2026Paul Garnier, Jonathan Viquerat, Elie HachemActive Flow ControlHeuristics

    Mines Paris - PSL University · Centre for Material Forming (CEMEF) · CNRS +1

  30. Robustly Invertible Nonlinear Dynamics and the BiLipREN: From Inversion-Based Control to Generative Trajectory Modelling

    Jul 10, 2026Yurui Zhang, Ruigang Wang, Ian R. ManchesterNonlinear DynamicsRecurrent Neural Networks

    Australian Centre for Robotics (ACFR), and the School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Australia

  31. Learning-enabled Parameter Synthesis for Nonlinear Systems from Signal Temporal Logic

    Jul 9, 2026Alex Beaudin, Hanna Krasowski, Eric Palanques-Tost +2Signal Temporal LogicNonlinear Dynamics

    University of California, Berkeley · Boston University · University of Maryland, College Park

  32. Quantum simulation of real-world nonlinear dynamics via Koopman method

    Jul 8, 2026Baoyang Zhang, Dong An, Zhaoyuan Meng +4Koopman OperatorNonlinear Dynamics

    State Key Laboratory for Turbulence and Complex Systems, School of Mechanics and Engineering Science, Peking University, Beijing 100871, China · Beijing International Center for Mathematical Research, Peking University, Beijing 100871, China · Institute of Mechanics, State Key Laboratory of Nonlinear Mechanics, Chinese Academy of Sciences, Beijing 100190, China +2

  33. Empirical Minimal-Realisation Compression of Deep Neural Networks via Controllability-Observability Tests

    Jul 5, 2026Anis Hamadouche, Amir HussainNeural NetworkTask-Aware Compression

    The School of Engineering & Physical Sciences Heriot-Watt University Edinburgh EH14 4AS, UK · SDAIA-KFUPM Joint Research Centre for Artificial Intelligence King Fahd University of Petroleum and Minerals Dhahran, Saudi Arabia

  34. In-context learning from self-generated trajectories for adaptive model reduction

    Jul 3, 2026Amirpasha Hedayat, Laura Balzano, Karthik DuraisamyReduced-Order ModelsNonlinear Dynamics

    Department of Aerospace Engineering · Michigan Institute for Computational Discovery and Engineering, University of Michigan, Ann Arbor, MI, USA · Department of Electrical Engineering and Computer Science

  35. A Memory Efficient Unified Algorithm for Online Learning of Linear Dynamical Systems

    Jul 2, 2026Yuval Ran-Milo, Angelos Assos, Elad HazanNonlinear DynamicsDynamical Systems

    Tel Aviv University · Princeton University

  36. GPU-Parallel Linearization Error Bounds for Real-Time Robust Optimal Control of Nonlinear and Neural Network Dynamics

    Jul 1, 2026Jeffrey Fang, Keyi Shen, Anutam Srinivasan +1Nonlinear DynamicsNeural Dynamics

  37. Deep Reinforcement Learning for Spacecraft Attitude Control During Atmospheric Re-Entry

    Jun 30, 2026Alexander Fabisch, Melvin Laux, Mariela De Lucas Álvarez +2Reinforcement Learning ControlActive Flow Control

    Robotics Innovation Center, German Research Center for Artificial Intelligence (DFKI GmbH), Germany · 2Airbus Defence and Space GmbH, Germany

  38. Heterogeneous synaptic motifs bridge microscale structure and macroscale nonlinear dynamics

    Jun 26, 2026Meiyi Zhang, Jinjian Yu, Louis Tao +1Synaptic PlasticityFunctional Connectivity

    Center for Quantitative Biology, Academy for Advanced Interdisciplinary Studies, Peking University, China · Center for Quantitative Biology, Academy for Advanced Interdisciplinary Studies, Peking University, Beijing, China · School of Physics, Peking University, China +7

  39. Frequency-Domain Neural ODEs for Modeling Non-Linear Dynamical Systems

    Jun 20, 2026Mohammed Ashraf, Ayman A. El-BadawyNeural Ordinary Differential EquationsNonlinear Dynamics

    Department of Mechatronics Engineering, German University in Cairo, Cairo, Egypt

  40. Distinguishing indistinguishable attractors: Unsupervised anomaly detection with reservoir computers

    Jun 19, 2026Davide Prosperino, Haochun Ma, Christoph RäthReservoir ComputingReservoir

    1Ludwig-Maximilians-Universität München, Faculty of Physics, Munich, 80539, Germany · 2Deutsches Zentrum für Luft- und Raumfahrt (DLR), Institute for Frontier Materials on Earth and in Space, Cologne, 51170, Germany

  41. Safe, Real-Time Active Model Discrimination and Fault Diagnosis for Nonlinear Systems via Differentiable Reachability

    Jun 17, 2026Xinpei Ni, Melkior Ornik, Glen Chou +1Fault DiagnosisReachability

    Institute of Robotics and Intelligent Machines (IRIM), Georgia Institute of Technology, Atlanta, GA 30332, USA · Department of Aerospace Engineering, University of Illinois Urbana-Champaign, Urbana, IL 61801, USA

  42. Multi-Fidelity SINDy: Sparse Discovery of Nonlinear Dynamical Systems with Fidelity-Weighted Measurements

    Jun 14, 2026Filippo Zacchei, Ana Larrañaga, Attilio Frangi +2System IdentificationNonlinear Dynamics

    MOX – Department of Mathematics, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy · Department of Mechanical Engineering, University of Washington, Seattle, Washington 98195, United States · Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy

  43. Covariance-Regulated Recursive Koopman Learning for Nonlinear Systems with Uncertain Time-Varying Dynamics

    Jun 13, 2026Weibin Gu, Chen Yang, Lu Shi +1Koopman OperatorExtended Kalman Filter

    1Tsinghua University, PR China · 2China University of Petroleum-Beijing at Karamay, PR China · 3Xinchen Qihang Inc., PR China

  44. An integrated interpretable control effectiveness learning and nonlinear control allocation methodology for overactuated aircrafts

    Jun 11, 2026Umut Demir, Aamir Ahmad, Walter FichterNonlinear DynamicsOptimal Control

    University of Stuttgart, Faculty of Aerospace Engineering and Geodesy, Institute of Flight Mechanics and Control (iFR), Germany.

  45. Integral Formulation of QENDy for Robust Nonlinear System Identification

    Jun 10, 2026Nikhil Saran, Sushant Pokhriyal, Stefan Klus +2System IdentificationNonlinear Dynamics

    Department of Mathematics and Statistics at the University of South Florida · Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, India · School of Mathematical & Computer Sciences at the Heriot–Watt University, Edinburgh +1

  46. PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection

    Jun 9, 2026Fateme Mohammad Mohammadi, Hector Budman, Joshua L. PulsipherParametric Physics-Informed Neural NetworkInequality Constraints

    Department of Chemical Engineering University of Waterloo, 200 University Ave W, Waterloo, ON N2L 3G1, Canada

  47. From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models

    Jun 8, 2026Conor RowanNeural OperatorsNeural Ordinary Differential Equations

    Aerospace Engineering2026 University of Colorado Boulder 3775 Discovery DriveJun 9 Boulder, CO 80309

  48. AdaKoop: Efficient Modeling of Nonlinear Dynamics from Nonstationary Data Streams with Koopman Operator Regression

    Jun 3, 2026Naoki Chihara, Ren Fujiwara, Yasuko Matsubara +1Koopman OperatorNonlinear Dynamics

    SANKEN, The University of Osaka Osaka, Japan

  49. Trajectory-Aware Node Contributions and the Limits of Static Controllability

    Jun 2, 2026Valentina Kuskova, Dmitry Zaytsev, Michael CoppedgeNonlinear DynamicsControllability

    Lucy Family Institute for Data & Society · University of Notre Dame · Notre Dame, IN, USA +1

  50. Neural Network Compression by Approximate Differential Equivalence

    May 31, 2026Ravi Dhiman, Andrea Passarella, Mirco Tribastone +1Compressed ModelNeural Approximations

    IMT School for Advanced Studies Lucca 55100, Italy · IIT CNR, Pisa 56124, Italy

  51. Flow map learning in nonlinear vector autoregressive models: influence of the feature-library structure on the training error

    May 29, 2026Markus GrossNonlinear DynamicsNonlinearity

    Institute for AI Safety and Security, German Aerospace Center (DLR), Sankt Augustin and Ulm, Germany

  52. Learning and Adaptation in Wire Arc Additive Manufacturing Bead Geometry Control

    May 27, 2026Chen-Lung Lu, John WenIndustrial AutomationData-Driven

    Rensselaer Polytechnic Institute, Troy, NY

  53. History-aware adaptive reduced-order models via incremental singular value decomposition

    May 27, 2026Amirpasha Hedayat, Ali Mohaghegh, Laura Balzano +2Reduced-Order ModelsSingular Value Decomposition

    Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA · Department of Aerospace Engineering, University of Kansas, Lawrence, KS, USA · Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA

  54. Provably Safe Motion Planning Under Unknown Disturbances

    May 26, 2026Ibon Gracia, Qi Heng Ho, Luca Laurenti +1Probabilistic SafetyPlanning

    Department of Aerospace Engineering Sciences at the University of Colorado Boulder, CO, USA · Department of Aerospace and Ocean Engineering, Virginia Tech, VA, USA · Delft University of Technology, the Netherlands, and the Italian Institute of Artificial Intelligence, Italy

  55. Detecting Metastable Basins in High Dimensions via Marginal Trajectory Distribution Discrimination

    May 22, 2026Taj Jones-McCormickMetastable SamplesBasin

  56. Meta-Learning for Rapid Adaptation in Reference Tracking of Uncertain Nonlinear Systems

    May 21, 2026Jiaqi Yan, Ankush Chakrabarty, Niklas Schmid +2Meta-LearningSystem Identification

    School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, P. R. China · Mitsubishi Electric Research Laboratories, Cambridge, MA 02139, USA · Automatic Control Laboratory, ETH Zurich, Switzerland +1

  57. Fully Actuated Manifold Constraint Based Output Feedback Control for Input-Constrained Uncertain Nonlinear Systems

    May 20, 2026Dianrui Mu, Changchun Hua, Yafeng Li +2Robust ControlInequality Constraints

    Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China

  58. k-Inductive Neural Barrier Certificates for Unknown Nonlinear Dynamics

    May 19, 2026Ben Wooding, Hongchao Zhang, Taylor T. Johnson +1Control Barrier FunctionsFinite-Sample Certificates

    Vanderbilt University, Nashville, TN, USA · Newcastle University, Newcastle upon Tyne, UK

  59. Coupling-Informed Transport Maps for Bayesian Filtering in Nonlinear Dynamical Systems

    May 13, 2026Dengfei Zeng, Lijian Jiang, Shuyu Sun +1Bayesian FilteringPosterior Sampling

    School of Mathematical Sciences, Tongji University, Shanghai, 200092 China · School of Mathematical Sciences, Tongji University, Shanghai, 200092 China, Key Laboratory of Intelligent Computing and Applications (Ministry of Education), Tongji University, Shanghai, 200092 China

  60. Distributionally Robust Safety Under Arbitrary Uncertainties: A Safety Filtering Approach

    May 13, 2026Daniel M. Cherenson, Haejoon Lee, Taekyung Kim +1Probabilistic SafetySafety Filters

    Department of Robotics, University of Michigan, Ann Arbor, MI, USA