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 2021-08-01 to 2025-08-01.)

Article	Citations
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	38
Reconstruction of Network Dynamics from Partial Observations	38
Isolas in Nonlinear Fluid Networks	26
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	21
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	20
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	18
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	16
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	15
Lane Formation and Aggregation Spots in a Model of Ants	14
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	14
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	14
Distributed Delay and Desynchronization in a Neural Mass Model	12
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	11
Walking Droplets as a Damped-Driven System	11
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	11
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	11
A Generalized Model of Flocking with Steering	10
Polynomial Propagation of Moments in Stochastic Differential Equations	10
Preserving Bifurcations through Moment Closures	10
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	10
Learning Theory for Dynamical Systems	10
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	9
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	9
A Bifurcation Lemma for Invariant Subspaces	9
Erratum: Abundance of Infinite Switching	9

On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	9
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	9
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	9
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	9
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	8
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	8
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	8
The Adaptive Spectral Koopman Method for Dynamical Systems	8
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	8
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	8
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	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
Max-Cut via Kuramoto-Type Oscillators	7
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	7
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	7
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	7
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	7
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	7
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	7
Modeling and Control of Malaria Dynamics in Fish Farming Regions	7
Propagation Reversal for Bistable Differential Equations on Trees	6
Intraguild Predation Communities with Anti-predator Behavior	6
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	6
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	6
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	6
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks	6
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	6
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	6
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	6
Homeostasis Patterns	6
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	6
Bistability of an HIV Model with Immune Impairment	6
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	6
The Effects of Delay on the HKB Model of Human Motor Coordination	6
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	5
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	5
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	5
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	5
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	5
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	5
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	5
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	5
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	5
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	5
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	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
Stable Synchronous Propagation of Signals by Feedforward Networks	5

Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	5
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	5
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	5
Bulk Topological States in a New Collective Dynamics Model	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
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	5
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	5
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	4
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	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
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	4
Kuramoto Networks with Infinitely Many Stable Equilibria	4
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	4
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	4
Bifurcation Analysis of a Modified Cardiac Cell Model	4
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	4
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	4
Singular Dynamic Mode Decomposition	4
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs	4
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	4
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	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
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	4