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 2022-06-01 to 2026-06-01.)

Article	Citations
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	66
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	37
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	32
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	32
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	31
Lane Formation and Aggregation Spots in a Model of Ants	30
Reconstruction of Network Dynamics from Partial Observations	22
Isolas in Nonlinear Fluid Networks	22
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	21
Walking Droplets as a Damped-Driven System	20
Polynomial Propagation of Moments in Stochastic Differential Equations	20
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	20
Distributed Delay and Desynchronization in a Neural Mass Model	17
Multihumped Collapsing Solutions in the Nonlinear Schrödinger Problem: Existence, Stability, and Dynamics	17
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	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
A Generalized Model of Flocking with Steering	15
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	15
Erratum: Abundance of Infinite Switching	14
A Bifurcation Lemma for Invariant Subspaces	14
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	14
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle	14
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	14
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	14

Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	13
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	13
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	12
Emergence of Supercritical Hopf Bifurcations in Coupled Oscillator Ensembles and How Desynchronization Can Facilitate Energy-Optimal Phase Resetting	12
Data-Driven Identification of Attractors Using Machine Learning	12
Complex Dynamics in an Epidemic Model with Imitation-Driven Vaccination Strategy	12
Learning Theory for Dynamical Systems	11
Tagged Barcodes for the Topological Analysis of Gradient-Like Vector Fields	11
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	11
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	11
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	11
Preserving Bifurcations through Moment Closures	11
The Adaptive Spectral Koopman Method for Dynamical Systems	11
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	11
Modeling and Control of Malaria Dynamics in Fish Farming Regions	10
Bistability of Traveling Waves and Wave-Pinning States in a Mass-Conserved Reaction-Diffusion System: From Bifurcations to Implications for Actin Waves	10
Filtered Finite State Projection Method for the Analysis and Estimation of Stochastic Biochemical Reaction Networks	10
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	10
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	10
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	10
Max-Cut via Kuramoto-Type Oscillators	10
Bistability of an HIV Model with Immune Impairment	9
Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems	9
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	9
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	9
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	9
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	9
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	9
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	9
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	9
The Effects of Delay on the HKB Model of Human Motor Coordination	8
Unique Reconstruction from Mean-Field Measurements	8
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	8
Stable Synchronous Propagation of Signals by Feedforward Networks	8
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	8
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	8
Propagation Reversal for Bistable Differential Equations on Trees	8
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	8
Global Stability of Wright-Type Equations with Negative Schwarzian	8
Homeostasis Patterns	8
Intraguild Predation Communities with Anti-predator Behavior	8
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	7
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	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
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	7
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	7
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	7
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	7
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	7
Koopman Reduced-Order Modeling with Confidence Bounds	7

${C^{k}}$ Extension and Invariant Manifolds for the Compactification of Nonautonomous Systems with Autonomous Limits	7
Testing Topological Conjugacy of Time Series	7
Sensitivity Analysis for Time-Varying Ecological Networks	6
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	6
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	6
Helfrich Cylinders—Instabilities, Bifurcations, and Amplitude Equations	6
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	6
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	6
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	6
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	6
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	6
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	6
Hamiltonian Triplet Interactions: Areal and Perimetric Forces	6
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	6
Bifurcations of Synchronized Solutions in a Continuum Limit of the Kuramoto Model with Two-Mode Interaction Depending on Two Graphs	6
Parameter Region for Multistationarity in ${\boldsymbol{n-}}$Site Phosphorylation Networks	6
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	6
Bulk Topological States in a New Collective Dynamics Model	6
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	6
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	5
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	5
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	5
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	5
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	5
Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition	5
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	5
Singular Dynamic Mode Decomposition	5
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters	5
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	5
Kuramoto Networks with Infinitely Many Stable Equilibria	5
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	5
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	5
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	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
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	5

\({C^{k}}\) Extension and Invariant Manifolds for the Compactification of Nonautonomous Systems with Autonomous Limits	7
Testing Topological Conjugacy of Time Series	7
Sensitivity Analysis for Time-Varying Ecological Networks	6
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	6
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	6
Helfrich Cylinders—Instabilities, Bifurcations, and Amplitude Equations	6
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	6
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	6
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	6
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	6
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	6
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	6
Hamiltonian Triplet Interactions: Areal and Perimetric Forces	6
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	6
Bifurcations of Synchronized Solutions in a Continuum Limit of the Kuramoto Model with Two-Mode Interaction Depending on Two Graphs	6
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	6
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	6
Bulk Topological States in a New Collective Dynamics Model	6
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	6
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	5
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	5
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	5
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	5
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	5
Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition	5
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	5
Singular Dynamic Mode Decomposition	5
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters	5
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	5
Kuramoto Networks with Infinitely Many Stable Equilibria	5
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	5
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	5
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	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
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	5