OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Applied Dynamical Systems is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-05-01 to 2024-05-01.)

Article	Citations
On a Competition-Diffusion-Advection System from River Ecology: Mathematical Analysis and Numerical Study	26
How to Coordinate Vaccination and Social Distancing to Mitigate SARS-CoV-2 Outbreaks	19
A Simple Proof of Asymptotic Consensus in the Hegselmann--Krause and Cucker--Smale Models with Normalization and Delay	18
Global Dynamics of a Lotka--Volterra Competition-Diffusion System in Advective Heterogeneous Environments	17
Data-Driven Learning for the Mori--Zwanzig Formalism: A Generalization of the Koopman Learning Framework	16
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models	16
An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs	13
Optimal Control of Oscillation Timing and Entrainment Using Large Magnitude Inputs: An Adaptive Phase-Amplitude-Coordinate-Based Approach	12
A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	12
The Multiplex Decomposition: An Analytic Framework for Multilayer Dynamical Networks	12
Limitations and Improvements of the Intelligent Driver Model (IDM)	11
Rate-Induced Tipping and Saddle-Node Bifurcation for Quadratic Differential Equations with Nonautonomous Asymptotic Dynamics	11
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws	11
Graphop Mean-Field Limits for Kuramoto-Type Models	9
Data Assimilation for the Navier--Stokes Equations Using Local Observables	9
A Proof for a Stability Conjecture on Symmetric Periodic Solutions of the Elliptic Sitnikov Problem	9
Motifs for Processes on Networks	9
Perception of Fundamental Values and Financial Market Dynamics: Mathematical Insights from a 2D Piecewise Linear Map	9
Synchronization in Temporal Simplicial Complexes	8
Synchrony and Oscillatory Dynamics for a 2-D PDE-ODE Model of Diffusion-Mediated Communication between Small Signaling Compartments	8
Shape versus Timing: Linear Responses of a Limit Cycle with Hard Boundaries under Instantaneous and Static Perturbation	8
Time-Varying Autoregression with Low-Rank Tensors	8
Sequential Attractors in Combinatorial Threshold-Linear Networks	8
The Pair-Replica-Mean-Field Limit for Intensity-based Neural Networks	8
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	8

Pattern Formation and Transition to Chaos in a Chemotaxis Model of Acute Inflammation	8
Periodic Solutions in Threshold-Linear Networks and Their Entrainment	8
Conley's Fundamental Theorem for a Class of Hybrid Systems	7
A Mathematical Model of Anaerobic Digestion with Syntrophic Relationship, Substrate Inhibition, and Distinct Removal Rates	7
High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities	7
Multistability of Small Reaction Networks	7
High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach	7
Interpolatory Methods for Generic BizJet Gust Load Alleviation Function	7
Stability Domains for Quadratic-Bilinear Reduced-Order Models	7
A Subgradient Algorithm for Data-Rate Optimization in the Remote State Estimation Problem	6
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	6
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock	6
Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations	6
Dynamic Transitions and Bifurcations for a Class of Axisymmetric Geophysical Fluid Flow	6
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	6
Robust and Scalable Methods for the Dynamic Mode Decomposition	6
Symbolic Proof of Bistability in Reaction Networks	6
Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains	6
Linking Network Structure and Dynamics to Describe the Set of Persistent Species in Reaction Diffusion Systems	6
Dynamics of Small Particle Inertial Migration in Curved Square Ducts	5
Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane	5
Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities	5
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	5
Emergent Behaviors of Rotation Matrix Flocks	5
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	5
Random Attraction in the TASEP Model	5
Stability of Motion Induced by a Point Vortex Under Arbitrary Polynomial Perturbations	5
Continuation of Double Hopf Points in Thermal Convection of Rotating Fluid Spheres	5
Rigorous Verification of Hopf Bifurcations via Desingularization and Continuation	5
High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators	5
An Organizing Center of Codimension Four in a Predator-Prey Model with Generalist Predator: From Tristability and Quadristability to Transients in a Nonlinear Environmental Change	5
Understanding Sensory Induced Hallucinations: From Neural Fields to Amplitude Equations	5
Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes	4
Understanding the Effects of On- and Off-Hotspot Policing: Evidence of Hotspot, Oscillating, and Chaotic Activities	4
The Geometry of the Painlevé Paradox	4
Rough Path Theory to Approximate Random Dynamical Systems	4
Ginzburg--Landau Patterns in Circular and Spherical Geometries: Vortices, Spirals, and Attractors	4
Sparsity Structures for Koopman and Perron--Frobenius Operators	4
Mixed-Mode Oscillations in Coupled FitzHugh–Nagumo Oscillators: Blow-Up Analysis of Cusped Singularities	4
Efficient Computation of Linear Response of Chaotic Attractors with One-Dimensional Unstable Manifolds	4
Regularization of Isolated Codimension-2 Discontinuity Sets	4
Normalized Connectomes Show Increased Synchronizability with Age through Their Second Largest Eigenvalue	4
Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation	4
Robust Approximation of the Stochastic Koopman Operator	4
Nonlinear Consensus on Networks: Equilibria, Effective Resistance, and Trees of Motifs	4
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	4
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	4
Koopman Resolvent: A Laplace-Domain Analysis of Nonlinear Autonomous Dynamical Systems	4
Optimal Energy Shaping via Neural Approximators	4
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	3

Derivative-Free Bayesian Inversion Using Multiscale Dynamics	3
Traveling Pulse Solutions in a Three-Component FitzHugh--Nagumo Model	3
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	3
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	3
Fronts in the Wake of a Parameter Ramp: Slow Passage through Pitchfork and Fold Bifurcations	3
Bulk Topological States in a New Collective Dynamics Model	3
Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models	3
On Differential Equations with Codimension-$n$ Discontinuity Sets	3
Abundance of Strange Attractors Near an Attracting Periodically Perturbed Network	3
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems	3
Slow-fast Dynamics of Strongly Coupled Adaptive Frequency Oscillators	3
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	3
A Nonautonomous Equation Discovery Method for Time Signal Classification	3
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures	3
A Graph-Theoretic Condition for Delay Stability of Reaction Systems	3
Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations	3
Dynamical Analysis and Optimization of a Generalized Resource Allocation Model of Microbial Growth	3
Synchrony and Antisynchrony in Weighted Networks	3
Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I---Fundamentals	3
A Dynamical Theory for Singular Stochastic Delay Differential Equations I: Linear Equations and a Multiplicative Ergodic Theorem on Fields of Banach Spaces	3
Anti-integrability for Three-Dimensional Quadratic Maps	3
Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability	3
Validated Spectral Stability via Conjugate Points	3
Walking Droplets as a Damped-Driven System	3
Neuromechanical Mechanisms of Gait Adaptation in C. elegans: Relative Roles of Neural and Mechanical Coupling	3