OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Applied Dynamical Systems is 2. 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 2021-03-01 to 2025-03-01.)

Article	Citations
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay	31
Koopman Operator Inspired Nonlinear System Identification	20
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	17
A Reduced Order Modeling Framework for Strongly Perturbed Nonlinear Dynamical Systems Near Arbitrary Trajectory Sets	17
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	14
Contrasting Chaotic and Stochastic Forcing: Tipping Windows and Attractor Crises	13
A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure	13
Nonlinearities Shape the Response Patterns to Oscillatory Inputs in a Caricature Electrochemical Cell Model	11
Persistent Synchronization of Heterogeneous Networks with Time-Dependent Linear Diffusive Coupling	10
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility	9
Perception of Fundamental Values and Financial Market Dynamics: Mathematical Insights from a 2D Piecewise Linear Map	8
Circularization in the Damped Kepler Problem	8
Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems	8
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay	8
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	8
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	7
Topological Entropy of Surface Braids and Maximally Efficient Mixing	7
Less Interaction with Forward Models in Langevin Dynamics: Enrichment and Homotopy	7
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	7
Stable Synchronous Propagation of Signals by Feedforward Networks	7
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	7
Periodic Oscillations in a \(2{N}\) -Body Problem	6
Path-Based Divergence Rates and Lagrangian Uncertainty in Stochastic Flows	6
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	6
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	6

The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	6
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	6
Uncertainty Propagation for General Stochastic Hybrid Systems on Compact Lie Groups	6
Periodic and Quasiperiodic Waves on the Sphere	5
The Asymptotic Frequency of Stochastic Oscillators	5
Emergent Behaviors of Rotation Matrix Flocks	5
Double-Hopf Bifurcation and Bistable Asynchronous Periodic Orbits for the Memory-Based Diffusion System	5
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	5
Isolas in Nonlinear Fluid Networks	5
A Case Study of Multiple Wave Solutions in a Reaction-Diffusion System Using Invariant Manifolds and Global Bifurcations	5
Dynamical Analysis and Optimization of a Generalized Resource Allocation Model of Microbial Growth	4
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	4
Reconstruction of Network Dynamics from Partial Observations	4
The Effects of Delay on the HKB Model of Human Motor Coordination	4
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	4
Optimal Energy Shaping via Neural Approximators	4
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation	4
Lane Formation and Aggregation Spots in a Model of Ants	4
Identifying Nonlinear Dynamics with High Confidence from Sparse Data	4
Geometric Analysis of a Truncated Galerkin Discretization of Fast-Slow PDEs with Transcritical Singularities	4
Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations	4
Towards Understanding the Endemic Behavior of a Competitive Tri-virus SIS Networked Model	4
Continuation of Fixed Points and Bifurcations from ODE to Flow-Kick Disturbance Models	4
A Mean-Field Firing-Rate Model for the Suprachiasmatic Nucleus	4
Asymptotic Behavior of Fronts and Pulses of the Bidomain Model	3
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	3
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	3
A Graph-Theoretic Condition for Delay Stability of Reaction Systems	3
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	3
Continuation with Noninvasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario	3
Walking Droplets as a Damped-Driven System	3
Population Dynamics in Networks of Izhikevich Neurons with Global Delayed Coupling	3
Polynomial Propagation of Moments in Stochastic Differential Equations	3
Reduction and Reconstruction of the Oscillator in 1:1:2 Resonance plus an Axially Symmetric Polynomial Perturbation	3
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	3
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	3
Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds	3
Dynamical Organization of Recollisions by a Family of Invariant Tori	3
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System	3
Forward Attraction of Nonautonomous Dynamical Systems and Applications to Navier–Stokes Equations	3
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	3
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	3
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	3
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	3
Bifurcation Analysis of a Modified Cardiac Cell Model	3
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	3
Limitations and Improvements of the Intelligent Driver Model (IDM)	3
Analysis of a Dynamical System Modeling Lasers and Applications for Optical Neural Networks	3
A Mathematical Model of the Visual MacKay Effect	3
Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation	2

Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	2
A Nonautonomous Equation Discovery Method for Time Signal Classification	2
Queues with Delayed Information: A Dynamical Systems Perspective	2
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model	2
Level Set Learning for Poincaré Plots of Symplectic Maps	2
Singular Dynamic Mode Decomposition	2
Variationally Consistent Hamiltonian Model Reduction	2
Data-Driven Model Reduction via Non-intrusive Optimization of Projection Operators and Reduced-Order Dynamics	2
High-Dimensional Cointegration and Kuramoto Inspired Systems	2
\(\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}\)-Reduction, Relative Equilibria, and Bifur	2
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	2
Flocks with Nonlinear Inherent Dynamics under Fixed and Switching Digraphs	2
Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability	2
Bulk Topological States in a New Collective Dynamics Model	2
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	2
Convergence of Weak-SINDy Surrogate Models	2
Distributed Delay and Desynchronization in a Neural Mass Model	2
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	2
Numerical Computation of High-Order Expansions of Invariant Manifolds of High-Dimensional Tori	2
Truncation of Contact Defects in Reaction-Diffusion Systems	2
Computing Connection Matrices via Persistence-Like Reductions	2
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	2
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions	2
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	2
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	2
On a Competition-Diffusion-Advection System from River Ecology: Mathematical Analysis and Numerical Study	2
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit	2
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	2
Testing Topological Conjugacy of Time Series	2
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	2
Spectral Submanifolds of the Navier–Stokes Equations	2
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	2
Connecting Anti-integrability to Attractors for Three-Dimensional Quadratic Diffeomorphisms	2
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	2