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 2021-10-01 to 2025-10-01.)

Article	Citations
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	45
Reconstruction of Network Dynamics from Partial Observations	40
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	28
Lane Formation and Aggregation Spots in a Model of Ants	24
Isolas in Nonlinear Fluid Networks	21
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	18
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	17
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	16
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	15
Distributed Delay and Desynchronization in a Neural Mass Model	14
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	14
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	14
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	13
Polynomial Propagation of Moments in Stochastic Differential Equations	12
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	12
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	12
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	12
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	11
Learning Theory for Dynamical Systems	11
A Bifurcation Lemma for Invariant Subspaces	11
A Generalized Model of Flocking with Steering	11
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	11
Preserving Bifurcations through Moment Closures	11
Walking Droplets as a Damped-Driven System	11
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	10

Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	10
Erratum: Abundance of Infinite Switching	10
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	10
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	10
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	9
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	9
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	9
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	9
The Adaptive Spectral Koopman Method for Dynamical Systems	9
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	9
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	9
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle	9
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	8
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	8
Max-Cut via Kuramoto-Type Oscillators	8
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	8
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	8
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	8
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	8
Modeling and Control of Malaria Dynamics in Fish Farming Regions	8
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	7
Homeostasis Patterns	7
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	7
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	7
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	7
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	7
Bistability of an HIV Model with Immune Impairment	7
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks	7
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	7
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	6
Propagation Reversal for Bistable Differential Equations on Trees	6
Stable Synchronous Propagation of Signals by Feedforward Networks	6
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	6
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	6
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	6
The Effects of Delay on the HKB Model of Human Motor Coordination	6
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	6
Koopman Reduced-Order Modeling with Confidence Bounds	6
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	6
Intraguild Predation Communities with Anti-predator Behavior	6
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	6
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	6
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	6
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	5
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	5
Parameter Region for Multistationarity in ${\boldsymbol{n-}}$Site Phosphorylation Networks	5
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	5
Testing Topological Conjugacy of Time Series	5
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	5
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	5

Bifurcations of Synchronized Solutions in a Continuum Limit of the Kuramoto Model with Two-Mode Interaction Depending on Two Graphs	5
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	5
$\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}$-Reduction, Relative Equilibria, and Bifur	5
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	5
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	5
Bulk Topological States in a New Collective Dynamics Model	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
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	5
Bifurcation Analysis of a Modified Cardiac Cell Model	5
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	5
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	5
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	5
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	4
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	4
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	4
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs	4
Sensitivity Analysis for Time-Varying Ecological Networks	4
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	4
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	4
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	4
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	4
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	4
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	4
Kuramoto Networks with Infinitely Many Stable Equilibria	4
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	4
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	4
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	4
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	4
Singular Dynamic Mode Decomposition	4
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	4

Bifurcations of Synchronized Solutions in a Continuum Limit of the Kuramoto Model with Two-Mode Interaction Depending on Two Graphs	5
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	5
\(\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}\)-Reduction, Relative Equilibria, and Bifur	5
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	5
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	5
Bulk Topological States in a New Collective Dynamics Model	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
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	5
Bifurcation Analysis of a Modified Cardiac Cell Model	5
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	5
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	5
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	5
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	4
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	4
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	4
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs	4
Sensitivity Analysis for Time-Varying Ecological Networks	4
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	4
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	4
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	4
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	4
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	4
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	4
Kuramoto Networks with Infinitely Many Stable Equilibria	4
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	4
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	4
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	4
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	4
Singular Dynamic Mode Decomposition	4
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	4