| Linearly Recurrent Autoencoder Networks for Learning Dynamics |
20 |
| Variable Projection Methods for an Optimized Dynamic Mode Decomposition |
18 |
| Cooperative Epidemic Spreading on a Two-Layered Interconnected Network |
14 |
| Data-Driven Discovery of Closure Models |
13 |
| Generalizing Koopman Theory to Allow for Inputs and Control |
11 |
| Data-Driven Identification of Parametric Partial Differential Equations |
9 |
| Discovery of Nonlinear Multiscale Systems: Sampling Strategies and Embeddings |
8 |
| Stability Loss Delay and Smoothness of the Return Map in Slow-Fast Systems |
7 |
| Nanoptera in a Period-2 Toda Chain |
7 |
| Long-Time Stability and Accuracy of the Ensemble Kalman-Bucy Filter for Fully Observed Processes and Small Measurement Noise |
7 |
| On Blow-Up Solutions of Differential Equations with Poincare-Type Compactifications |
6 |
| Emergence of Phase-Locking in the Kuramoto Model for Identical Oscillators with Frustration |
6 |
| On Equilibria and Consensus of the Lohe Model with Identical Oscillator |
6 |
| Robust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete Trajectories |
6 |
| Modeling Memory Effects in Activity-Driven Networks |
6 |
| Stability of Spiral Chimera States on a Torus |
6 |
| A New Frame for an Old (Phase) Portrait: Finding Rivers and Other Flow Features in the Plane |
5 |
| Computing the Stable Manifold of a Saddle Slow Manifold |
5 |
| Randomized Dynamic Mode Decomposition |
5 |
| Nonlinear Dynamics in Queueing Theory: Determining the Size of Oscillations in Queues with Delay |
5 |
| Tangencies Between Global Invariant Manifolds and Slow Manifolds Near a Singular Hopf Bifurcation |
5 |
| The Structure of MESSI Biological Systems |
5 |
| Pattern Formation and Synchronism in an Allelopathic Plankton Model with Delay in a Network |
5 |
| Online Dynamic Mode Decomposition for Time-Varying Systems |
5 |
| Sensitivity Analysis of Chaotic Systems Using Unstable Periodic Orbits |
4 |
| Gait Transitions in a Phase Oscillator Model of an Insect Central Pattern Generator |
4 |
| Multiclusters in Networks of Adaptively Coupled Phase Oscillators |
4 |
| Bifurcation Analysis of a Mosquito Population Model with a Saturated Release Rate of Sterile Mosquitoes |
4 |
| A Second-Order Particle Swarm Model on a Sphere and Emergent Dynamics |
4 |
| Stability of Traveling Waves for Reaction-Diffusion Equations with Multiplicative Noise |
4 |
| Emergent Dynamics of Kuramoto Oscillators with Adaptive Couplings: Conservation Law and Fast Learning |
4 |
| On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions |
4 |
| Stability of Periodic Traveling Wave Solutions to the Kawahara Equation |
4 |
| An Operational Definition of Phase Characterizes the Transient Response of Perturbed Limit Cycle Oscillators |
3 |
| Analytic Continuation of Local (Un)Stable Manifolds with Rigorous Computer Assisted Error Bounds |
3 |
| Model Rejection and Parameter Reduction via Time Series |
3 |
| Persistent Homology of Morse Decompositions in Combinatorial Dynamics |
3 |
| Comparison of Combinatorial Signatures of Global Network Dynamics Generated by Two Classes of ODE Models |
3 |
| Number and Stability of Relaxation Oscillations for Predator-Prey Systems with Small Death Rates |
3 |
| Lyapunov Function Partial Differential Equations for Chemical Reaction Networks: Some Special Cases |
3 |
| Synchronization in Multilayer Networks: When Good Links Go Bad |
3 |
| A Collisionless Singular Cucker-Smale Model with Decentralized Formation Control |
3 |
| Node-to-Node and Node-to-Medium Synchronization in Quorum Sensing Networks Affected by State-Dependent Noise |
3 |
| A Variational Method for Analyzing Stochastic Limit Cycle Oscillators |
3 |
| Graphically Balanced Equilibria and Stationary Measures of Reaction Networks |
3 |
| Asynchronous Instabilities of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime with Focused Police Patrol |
3 |
| Dynamics of a Mathematical Hematopoietic Stem-Cell Population Model |
3 |
| Coupled Multiple Timescale Dynamics in Populations of Endocrine Neurons: Pulsatile and Surge Patterns of GnRH Secretion |
3 |
| On the Existence and Stability of Fast Traveling Waves in a Doubly Diffusive FitzHugh-Nagumo System |
3 |
| Drift of Spectrally Stable Shifted States on Star Graphs |
3 |
