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 2022-01-01 to 2026-01-01.)

Article	Citations
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	55
Reconstruction of Network Dynamics from Partial Observations	44
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	30
Isolas in Nonlinear Fluid Networks	30
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	25
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	22
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	21
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	20
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	18
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	17
Lane Formation and Aggregation Spots in a Model of Ants	17
Polynomial Propagation of Moments in Stochastic Differential Equations	16
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	16
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	15
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	15
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	15
Distributed Delay and Desynchronization in a Neural Mass Model	14
A Generalized Model of Flocking with Steering	14
Walking Droplets as a Damped-Driven System	14
A Bifurcation Lemma for Invariant Subspaces	13
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	13
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	13
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	12
Preserving Bifurcations through Moment Closures	12
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle	12

Erratum: Abundance of Infinite Switching	12
Complex Dynamics in an Epidemic Model with Imitation-Driven Vaccination Strategy	11
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	11
Learning Theory for Dynamical Systems	11
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	11
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	11
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	10
The Adaptive Spectral Koopman Method for Dynamical Systems	10
Bistability of an HIV Model with Immune Impairment	10
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	10
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	10
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	10
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	10
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	9
Modeling and Control of Malaria Dynamics in Fish Farming Regions	9
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	9
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	9
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	9
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	9
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	9
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	9
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks	8
Tagged Barcodes for the Topological Analysis of Gradient-Like Vector Fields	8
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	8
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	8
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	8
Homeostasis Patterns	8
Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems	8
Max-Cut via Kuramoto-Type Oscillators	8
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	7
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	7
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	7
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	7
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	7
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	7
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	7
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	7
Intraguild Predation Communities with Anti-predator Behavior	7
Stable Synchronous Propagation of Signals by Feedforward Networks	7
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	7
Propagation Reversal for Bistable Differential Equations on Trees	7
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	7
The Effects of Delay on the HKB Model of Human Motor Coordination	7
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	7
Koopman Reduced-Order Modeling with Confidence Bounds	7
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	6
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	6
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	6
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	6
Bifurcation Analysis of a Modified Cardiac Cell Model	6

Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	6
Bifurcations of Synchronized Solutions in a Continuum Limit of the Kuramoto Model with Two-Mode Interaction Depending on Two Graphs	6
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	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
Bulk Topological States in a New Collective Dynamics Model	6
Parameter Region for Multistationarity in ${\boldsymbol{n-}}$Site Phosphorylation Networks	6
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	5
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	5
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	5
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	5
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	5
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	5
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	5
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	5
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	5
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	5
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	5
Kuramoto Networks with Infinitely Many Stable Equilibria	5
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs	5
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	5
Singular Dynamic Mode Decomposition	5
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	5
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	5
Testing Topological Conjugacy of Time Series	5
Sensitivity Analysis for Time-Varying Ecological Networks	5
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	5
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	5
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	5
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	5