Phase-amplitude coordinate-based neural networks for inferring oscillatory dynamics
From MaRDI portal
Publication:6123359
DOI10.1007/s00332-023-09994-yMaRDI QIDQ6123359
Publication date: 4 March 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
dynamical systemsperiodic orbitartificial neural networksmodel order reductionmodel identificationphase-isostable coordinates
Artificial neural networks and deep learning (68T07) System identification (93B30) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15)
Cites Work
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- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- Optimal open-loop desynchronization of neural oscillator populations
- Calculation of the Volterra kernels of nonlinear dynamic systems using an artificial neural network
- Greater accuracy and broadened applicability of phase reduction using isostable coordinates
- Phase reduction and phase-based optimal control for biological systems: a tutorial
- Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry
- Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics
- A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models
- Extending Phase Reduction to Excitable Media: Theory and Applications
- Applied Koopmanism
- Dynamic mode decomposition of numerical and experimental data
- Spectral analysis of nonlinear flows
- An eigensystem realization algorithm for modal parameter identification and model reduction
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
- Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis
- Data-Driven Science and Engineering
- Learning partial differential equations via data discovery and sparse optimization
- Analysis of Fluid Flows via Spectral Properties of the Koopman Operator
- Model selection for hybrid dynamical systems via sparse regression
- Data-driven inference of high-accuracy isostable-based dynamical models in response to external inputs
- Exploiting circadian memory to hasten recovery from circadian misalignment
- An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs
- Optimal Control of Oscillation Timing and Entrainment Using Large Magnitude Inputs: An Adaptive Phase-Amplitude-Coordinate-Based Approach
- A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems
- Augmented Phase Reduction of (Not So) Weakly Perturbed Coupled Oscillators
- The geometry of biological time.