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 2021-09-01 to 2025-09-01.)

Article	Citations
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	39
Reconstruction of Network Dynamics from Partial Observations	39
Isolas in Nonlinear Fluid Networks	27
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	23
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	20
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	18
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	17
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	16
Lane Formation and Aggregation Spots in a Model of Ants	14
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	14
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	14
Distributed Delay and Desynchronization in a Neural Mass Model	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
Walking Droplets as a Damped-Driven System	12
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	12
Preserving Bifurcations through Moment Closures	11
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	11
Learning Theory for Dynamical Systems	11
Polynomial Propagation of Moments in Stochastic Differential Equations	11
A Generalized Model of Flocking with Steering	11
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	11
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	10
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	10
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	10
A Bifurcation Lemma for Invariant Subspaces	10

On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	10
Erratum: Abundance of Infinite Switching	9
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	9
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	9
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	9
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	9
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	9
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	8
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	8
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	8
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	8
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	8
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	8
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	8
Bistability of an HIV Model with Immune Impairment	8
The Adaptive Spectral Koopman Method for Dynamical Systems	8
Max-Cut via Kuramoto-Type Oscillators	7
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	7
Homeostasis Patterns	7
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	7
Modeling and Control of Malaria Dynamics in Fish Farming Regions	7
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	7
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	7
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	7
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	7
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks	7
Stable Synchronous Propagation of Signals by Feedforward Networks	6
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	6
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	6
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	6
Koopman Reduced-Order Modeling with Confidence Bounds	6
Intraguild Predation Communities with Anti-predator Behavior	6
Propagation Reversal for Bistable Differential Equations on Trees	6
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	6
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	6
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	6
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	6
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	6
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	5
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	5
The Effects of Delay on the HKB Model of Human Motor Coordination	5
Testing Topological Conjugacy of Time Series	5
Parameter Region for Multistationarity in ${\boldsymbol{n-}}$Site Phosphorylation Networks	5
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	5
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	5
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	5
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	5
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	5
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	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
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	5
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	5
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	5
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	5
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	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
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	5
Bulk Topological States in a New Collective Dynamics Model	5
Bifurcation Analysis of a Modified Cardiac Cell Model	5
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	4
Singular Dynamic Mode Decomposition	4
Kuramoto Networks with Infinitely Many Stable Equilibria	4
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	4
Sensitivity Analysis for Time-Varying Ecological Networks	4
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	4
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	4
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	4
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs	4
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	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
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	4
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	4
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	4
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	4
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	4