OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Applied Dynamical Systems is 4. 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 2020-11-01 to 2024-11-01.)

Article	Citations
On a Competition-Diffusion-Advection System from River Ecology: Mathematical Analysis and Numerical Study	31
A Simple Proof of Asymptotic Consensus in the Hegselmann--Krause and Cucker--Smale Models with Normalization and Delay	21
Global Dynamics of a Lotka--Volterra Competition-Diffusion System in Advective Heterogeneous Environments	20
How to Coordinate Vaccination and Social Distancing to Mitigate SARS-CoV-2 Outbreaks	20
Data-Driven Learning for the Mori--Zwanzig Formalism: A Generalization of the Koopman Learning Framework	19
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models	17
Limitations and Improvements of the Intelligent Driver Model (IDM)	17
A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	16
The Multiplex Decomposition: An Analytic Framework for Multilayer Dynamical Networks	15
An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs	14
Rate-Induced Tipping and Saddle-Node Bifurcation for Quadratic Differential Equations with Nonautonomous Asymptotic Dynamics	14
Optimal Control of Oscillation Timing and Entrainment Using Large Magnitude Inputs: An Adaptive Phase-Amplitude-Coordinate-Based Approach	13
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws	13
Motifs for Processes on Networks	12
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	11
Shape versus Timing: Linear Responses of a Limit Cycle with Hard Boundaries under Instantaneous and Static Perturbation	11
Data Assimilation for the Navier--Stokes Equations Using Local Observables	11
Pattern Formation and Transition to Chaos in a Chemotaxis Model of Acute Inflammation	11
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	10
Time-Varying Autoregression with Low-Rank Tensors	9
Graphop Mean-Field Limits for Kuramoto-Type Models	9
A Mathematical Model of Anaerobic Digestion with Syntrophic Relationship, Substrate Inhibition, and Distinct Removal Rates	9
Perception of Fundamental Values and Financial Market Dynamics: Mathematical Insights from a 2D Piecewise Linear Map	9
The Pair-Replica-Mean-Field Limit for Intensity-based Neural Networks	9
Dynamics of Small Particle Inertial Migration in Curved Square Ducts	8

Sequential Attractors in Combinatorial Threshold-Linear Networks	8
High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators	8
A Proof for a Stability Conjecture on Symmetric Periodic Solutions of the Elliptic Sitnikov Problem	8
Synchronization in Temporal Simplicial Complexes	8
High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach	8
Koopman Resolvent: A Laplace-Domain Analysis of Nonlinear Autonomous Dynamical Systems	8
Periodic Solutions in Threshold-Linear Networks and Their Entrainment	8
Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations	8
Synchrony and Oscillatory Dynamics for a 2-D PDE-ODE Model of Diffusion-Mediated Communication between Small Signaling Compartments	8
Stability Domains for Quadratic-Bilinear Reduced-Order Models	8
High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities	8
Optimal Phase-Selective Entrainment of Heterogeneous Oscillator Ensembles	7
Conley's Fundamental Theorem for a Class of Hybrid Systems	7
Random Attraction in the TASEP Model	7
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	7
Linking Network Structure and Dynamics to Describe the Set of Persistent Species in Reaction Diffusion Systems	7
Robust and Scalable Methods for the Dynamic Mode Decomposition	7
Multistability of Small Reaction Networks	7
Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains	7
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	7
Dynamical Analysis and Optimization of a Generalized Resource Allocation Model of Microbial Growth	7
Breaking Indecision in Multiagent, Multioption Dynamics	7
Interpolatory Methods for Generic BizJet Gust Load Alleviation Function	7
Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities	7
A Subgradient Algorithm for Data-Rate Optimization in the Remote State Estimation Problem	6
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise	6
Symbolic Proof of Bistability in Reaction Networks	6
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	6
Optimal Energy Shaping via Neural Approximators	6
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems	6
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	6
Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane	6
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock	6
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	6
Robust Approximation of the Stochastic Koopman Operator	6
Fronts in the Wake of a Parameter Ramp: Slow Passage through Pitchfork and Fold Bifurcations	6
Understanding the Effects of On- and Off-Hotspot Policing: Evidence of Hotspot, Oscillating, and Chaotic Activities	6
Stability of Motion Induced by a Point Vortex Under Arbitrary Polynomial Perturbations	6
Understanding Sensory Induced Hallucinations: From Neural Fields to Amplitude Equations	6
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	5
Regularization of Isolated Codimension-2 Discontinuity Sets	5
Emergent Behaviors of Rotation Matrix Flocks	5
Mixed-Mode Oscillations in Coupled FitzHugh–Nagumo Oscillators: Blow-Up Analysis of Cusped Singularities	5
Dynamics of Controllable Matter-Wave Solitons and Soliton Molecules for a Rabi-Coupled Gross–Pitaevskii Equation with Temporally and Spatially Modulated Coefficients	5
The Geometry of the Painlevé Paradox	5
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	5
Nonlinear Consensus on Networks: Equilibria, Effective Resistance, and Trees of Motifs	5
Dynamic Transitions and Bifurcations for a Class of Axisymmetric Geophysical Fluid Flow	5
A Dynamical Theory for Singular Stochastic Delay Differential Equations I: Linear Equations and a Multiplicative Ergodic Theorem on Fields of Banach Spaces	5
Continuation of Double Hopf Points in Thermal Convection of Rotating Fluid Spheres	5

Rigorous Verification of Hopf Bifurcations via Desingularization and Continuation	5
Efficient Computation of Linear Response of Chaotic Attractors with One-Dimensional Unstable Manifolds	4
Normalized Connectomes Show Increased Synchronizability with Age through Their Second Largest Eigenvalue	4
Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability	4
Derivative-Free Bayesian Inversion Using Multiscale Dynamics	4
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	4
Individual Molecules Dynamics in Reaction Network Models	4
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures	4
Ginzburg--Landau Patterns in Circular and Spherical Geometries: Vortices, Spirals, and Attractors	4
Traveling Pulse Solutions in a Three-Component FitzHugh--Nagumo Model	4
Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation	4
Asynchronous Semianonymous Dynamics over Large-Scale Networks	4
On Differential Equations with Codimension-$n$ Discontinuity Sets	4
Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes	4
Slow-fast Dynamics of Strongly Coupled Adaptive Frequency Oscillators	4
Rough Path Theory to Approximate Random Dynamical Systems	4
Sparsity Structures for Koopman and Perron--Frobenius Operators	4
Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations	4
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	4
Neuromechanical Mechanisms of Gait Adaptation in C. elegans: Relative Roles of Neural and Mechanical Coupling	4