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 2021-11-01 to 2025-11-01.)

Article	Citations
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	48
Reconstruction of Network Dynamics from Partial Observations	41
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	28
Isolas in Nonlinear Fluid Networks	28
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	22
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	15
Distributed Delay and Desynchronization in a Neural Mass Model	15
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	15
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	14
Polynomial Propagation of Moments in Stochastic Differential Equations	14
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	13
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	13
Walking Droplets as a Damped-Driven System	13
A Generalized Model of Flocking with Steering	13
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	13
A Bifurcation Lemma for Invariant Subspaces	12
Learning Theory for Dynamical Systems	12
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	12
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle	11
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	11
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	11

On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	11
Erratum: Abundance of Infinite Switching	10
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	10
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	10
Preserving Bifurcations through Moment Closures	10
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	9
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	9
Modeling and Control of Malaria Dynamics in Fish Farming Regions	9
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	9
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	9
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	9
Bistability of an HIV Model with Immune Impairment	9
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	9
The Adaptive Spectral Koopman Method for Dynamical Systems	9
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	9
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	8
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	8
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	8
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	8
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	8
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	8
Max-Cut via Kuramoto-Type Oscillators	7
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	7
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	7
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	7
Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems	7
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks	7
Propagation Reversal for Bistable Differential Equations on Trees	7
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	7
Tagged Barcodes for the Topological Analysis of Gradient-Like Vector Fields	7
Homeostasis Patterns	7
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	7
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	6
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	6
Intraguild Predation Communities with Anti-predator Behavior	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
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	6
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	6
Stable Synchronous Propagation of Signals by Feedforward Networks	6
The Effects of Delay on the HKB Model of Human Motor Coordination	6
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	6
Koopman Reduced-Order Modeling with Confidence Bounds	6
Testing Topological Conjugacy of Time Series	6
Bifurcation Analysis of a Modified Cardiac Cell Model	6
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	6
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	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
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	6

Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	5
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	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
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	5
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	5
Bulk Topological States in a New Collective Dynamics Model	5
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	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
Bifurcations of Synchronized Solutions in a Continuum Limit of the Kuramoto Model with Two-Mode Interaction Depending on Two Graphs	5
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	5
Parameter Region for Multistationarity in ${\boldsymbol{n-}}$Site Phosphorylation Networks	5
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	5
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	5
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	5
Sensitivity Analysis for Time-Varying Ecological Networks	5
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	5
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	5
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	4
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs	4
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	4
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	4
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field	4
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	4
Singular Dynamic Mode Decomposition	4
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	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
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters	4
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	4
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	4
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	4
Kuramoto Networks with Infinitely Many Stable Equilibria	4
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	4
Convergence of Markov Chains for Constant Step-Size Stochastic Gradient Descent with Separable Functions	4
Stability of Equilibrium Points in the Spatially Restricted ${\boldsymbol{N+1}}$ -Body Problem with Manev Potential	4
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	4