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 2022-08-01 to 2026-08-01.)

Article	Citations
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	36
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	34
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	33
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	33
Isolas in Nonlinear Fluid Networks	29
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	24
Reconstruction of Network Dynamics from Partial Observations	23
Global Analysis of Regulatory Network Dynamics: Equilibria and Saddle-Node Bifurcations	22
Lane Formation and Aggregation Spots in a Model of Ants	22
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	19
Polynomial Propagation of Moments in Stochastic Differential Equations	18
Multihumped Collapsing Solutions in the Nonlinear Schrödinger Problem: Existence, Stability, and Dynamics	17
Walking Droplets as a Damped-Driven System	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
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	16
Distributed Delay and Desynchronization in a Neural Mass Model	15
A Bifurcation Lemma for Invariant Subspaces	15
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	14
Erratum: Abundance of Infinite Switching	14
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	14
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	13
Complex Dynamics in an Epidemic Model with Imitation-Driven Vaccination Strategy	13
Learning Theory for Dynamical Systems	13
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	13

Data-Driven Identification of Attractors Using Machine Learning	13
Preserving Bifurcations through Moment Closures	13
Emergence of Supercritical Hopf Bifurcations in Coupled Oscillator Ensembles and How Desynchronization Can Facilitate Energy-Optimal Phase Resetting	13
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle	13
The Adaptive Spectral Koopman Method for Dynamical Systems	12
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	12
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	12
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	12
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	11
Analytic Extended Dynamic Mode Decomposition	11
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	11
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	10
Bistability of Traveling Waves and Wave-Pinning States in a Mass-Conserved Reaction-Diffusion System: From Bifurcations to Implications for Actin Waves	10
Tagged Barcodes for the Topological Analysis of Gradient-Like Vector Fields	10
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	10
Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems	10
Modeling and Control of Malaria Dynamics in Fish Farming Regions	10
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	10
Propagation Reversal for Bistable Differential Equations on Trees	9
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	9
Filtered Finite State Projection Method for the Analysis and Estimation of Stochastic Biochemical Reaction Networks	9
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	9
Unique Reconstruction from Mean-Field Measurements	9
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	9
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	9
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	9
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	9
Global Stability of Wright-Type Equations with Negative Schwarzian	9
Intraguild Predation Communities with Anti-predator Behavior	9
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	9
Bistability of an HIV Model with Immune Impairment	9
Max-Cut via Kuramoto-Type Oscillators	9
Homeostasis Patterns	8
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	8
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	8
A Julia Tool for Analysis of Discrete-Time Planar Systems	8
The Effects of Delay on the HKB Model of Human Motor Coordination	8
Entropic Transfer Operators for Stochastic Systems	8
Stable Synchronous Propagation of Signals by Feedforward Networks	8
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	7
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	7
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	7
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	7
Koopman Reduced-Order Modeling with Confidence Bounds	7
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	7
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	7
\(\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}\)-Reduction, Relative Equilibria, and Bifur	7
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	7
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	7
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	7

Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	7
Helfrich Cylinders—Instabilities, Bifurcations, and Amplitude Equations	7
Testing Topological Conjugacy of Time Series	7
Sensitivity Analysis for Time-Varying Ecological Networks	6
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	6
\({C^{k}}\) Extension and Invariant Manifolds for the Compactification of Nonautonomous Systems with Autonomous Limits	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	6
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	6
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	6
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	6
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	6
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	6
Hamiltonian Triplet Interactions: Areal and Perimetric Forces	6
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	6
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	6
Singular Dynamic Mode Decomposition	5
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	5
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	5
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	5
Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential	5
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	5
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	5
Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition	5
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	5
Convergence of Markov Chains for Constant Step-Size Stochastic Gradient Descent with Separable Functions	5
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	5
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	5
Kuramoto Networks with Infinitely Many Stable Equilibria	5
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	5
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters	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