OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Applied Dynamical Systems is 5. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	64
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	37
Lane Formation and Aggregation Spots in a Model of Ants	31
Reconstruction of Network Dynamics from Partial Observations	31
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	30
Isolas in Nonlinear Fluid Networks	27
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	21
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	20
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	19
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	19
Polynomial Propagation of Moments in Stochastic Differential Equations	19
Walking Droplets as a Damped-Driven System	17
Multihumped Collapsing Solutions in the Nonlinear Schrödinger Problem: Existence, Stability, and Dynamics	17
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	17
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	16
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	16
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	15
Distributed Delay and Desynchronization in a Neural Mass Model	15
A Bifurcation Lemma for Invariant Subspaces	14
Learning Theory for Dynamical Systems	14
A Generalized Model of Flocking with Steering	14
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle	14
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	14
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	13
Preserving Bifurcations through Moment Closures	12

Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	12
Erratum: Abundance of Infinite Switching	12
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	12
Complex Dynamics in an Epidemic Model with Imitation-Driven Vaccination Strategy	12
Data-Driven Identification of Attractors Using Machine Learning	11
Emergence of Supercritical Hopf Bifurcations in Coupled Oscillator Ensembles and How Desynchronization Can Facilitate Energy-Optimal Phase Resetting	11
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	11
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	11
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	10
Tagged Barcodes for the Topological Analysis of Gradient-Like Vector Fields	10
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	10
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	10
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	10
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	10
The Adaptive Spectral Koopman Method for Dynamical Systems	10
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	9
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	9
Modeling and Control of Malaria Dynamics in Fish Farming Regions	9
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	9
Bistability of Traveling Waves and Wave-Pinning States in a Mass-Conserved Reaction-Diffusion System: From Bifurcations to Implications for Actin Waves	9
Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems	9
Max-Cut via Kuramoto-Type Oscillators	9
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	9
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	9
Filtered Finite State Projection Method for the Analysis and Estimation of Stochastic Biochemical Reaction Networks	9
Homeostasis Patterns	8
Unique Reconstruction from Mean-Field Measurements	8
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	8
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	8
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	8
Propagation Reversal for Bistable Differential Equations on Trees	8
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	8
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	8
Intraguild Predation Communities with Anti-predator Behavior	8
Bistability of an HIV Model with Immune Impairment	8
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	8
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	7
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	7
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	7
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	7
Global Stability of Wright-Type Equations with Negative Schwarzian	7
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	7
Koopman Reduced-Order Modeling with Confidence Bounds	7
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	7
Stable Synchronous Propagation of Signals by Feedforward Networks	7
The Effects of Delay on the HKB Model of Human Motor Coordination	7
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	7
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	7
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	6
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	6

Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	6
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	6
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	6
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	6
Bulk Topological States in a New Collective Dynamics Model	6
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	6
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	6
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	6
Helfrich Cylinders—Instabilities, Bifurcations, and Amplitude Equations	6
Testing Topological Conjugacy of Time Series	6
$\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}$-Reduction, Relative Equilibria, and Bifur	6
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	6
Parameter Region for Multistationarity in ${\boldsymbol{n-}}$Site Phosphorylation Networks	6
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	6
Bifurcations of Synchronized Solutions in a Continuum Limit of the Kuramoto Model with Two-Mode Interaction Depending on Two Graphs	6
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	5
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	5
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	5
Convergence of Markov Chains for Constant Step-Size Stochastic Gradient Descent with Separable Functions	5
Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition	5
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	5
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	5
Sensitivity Analysis for Time-Varying Ecological Networks	5
${C^{k}}$ Extension and Invariant Manifolds for the Compactification of Nonautonomous Systems with Autonomous Limits	5
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	5
Stability of Equilibrium Points in the Spatially Restricted ${\boldsymbol{N+1}}$ -Body Problem with Manev Potential	5
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	5
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	5
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	5
Kuramoto Networks with Infinitely Many Stable Equilibria	5
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	5
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	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
Singular Dynamic Mode Decomposition	5