OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Applied Dynamical Systems is 3. 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 2021-04-01 to 2025-04-01.)

Article	Citations
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay	31
Koopman Operator Inspired Nonlinear System Identification	29
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	22
A Reduced Order Modeling Framework for Strongly Perturbed Nonlinear Dynamical Systems Near Arbitrary Trajectory Sets	20
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	16
A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure	14
Contrasting Chaotic and Stochastic Forcing: Tipping Windows and Attractor Crises	13
Lane Formation and Aggregation Spots in a Model of Ants	13
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	12
Perception of Fundamental Values and Financial Market Dynamics: Mathematical Insights from a 2D Piecewise Linear Map	11
Nonlinearities Shape the Response Patterns to Oscillatory Inputs in a Caricature Electrochemical Cell Model	10
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	8
Persistent Synchronization of Heterogeneous Networks with Time-Dependent Linear Diffusive Coupling	8
Stable Synchronous Propagation of Signals by Feedforward Networks	8
Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems	8
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility	8
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay	8
Circularization in the Damped Kepler Problem	8
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	8
Uncertainty Propagation for General Stochastic Hybrid Systems on Compact Lie Groups	7
Topological Entropy of Surface Braids and Maximally Efficient Mixing	7
Periodic Oscillations in a \(2{N}\) -Body Problem	7
Path-Based Divergence Rates and Lagrangian Uncertainty in Stochastic Flows	7
Less Interaction with Forward Models in Langevin Dynamics: Enrichment and Homotopy	7
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	7

The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	7
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	6
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	6
The Asymptotic Frequency of Stochastic Oscillators	6
Periodic and Quasiperiodic Waves on the Sphere	6
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	6
Double-Hopf Bifurcation and Bistable Asynchronous Periodic Orbits for the Memory-Based Diffusion System	6
Isolas in Nonlinear Fluid Networks	6
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation	5
Towards Understanding the Endemic Behavior of a Competitive Tri-virus SIS Networked Model	5
Reconstruction of Network Dynamics from Partial Observations	5
Emergent Behaviors of Rotation Matrix Flocks	5
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	5
Continuation of Fixed Points and Bifurcations from ODE to Flow-Kick Disturbance Models	5
A Case Study of Multiple Wave Solutions in a Reaction-Diffusion System Using Invariant Manifolds and Global Bifurcations	5
Dynamical Analysis and Optimization of a Generalized Resource Allocation Model of Microbial Growth	5
Geometric Analysis of a Truncated Galerkin Discretization of Fast-Slow PDEs with Transcritical Singularities	5
Population Dynamics in Networks of Izhikevich Neurons with Global Delayed Coupling	4
The Effects of Delay on the HKB Model of Human Motor Coordination	4
On the Existence of Generalized Breathers and Transition Fronts in Time-Periodic Nonlinear Lattices	4
Asymptotic Behavior of Fronts and Pulses of the Bidomain Model	4
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	4
Forward Attraction of Nonautonomous Dynamical Systems and Applications to Navier–Stokes Equations	4
A Mean-Field Firing-Rate Model for the Suprachiasmatic Nucleus	4
Optimal Energy Shaping via Neural Approximators	4
Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations	4
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	4
Reduction and Reconstruction of the Oscillator in 1:1:2 Resonance plus an Axially Symmetric Polynomial Perturbation	4
A Mathematical Model of the Visual MacKay Effect	4
Identifying Nonlinear Dynamics with High Confidence from Sparse Data	4
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	4
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	4
Polynomial Propagation of Moments in Stochastic Differential Equations	4
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	3
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System	3
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	3
Bifurcation Analysis of a Modified Cardiac Cell Model	3
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	3
Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability	3
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	3
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	3
Continuation with Noninvasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario	3
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	3
Analysis of a Dynamical System Modeling Lasers and Applications for Optical Neural Networks	3
Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds	3
Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation	3
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	3
A Graph-Theoretic Condition for Delay Stability of Reaction Systems	3
Walking Droplets as a Damped-Driven System	3
Dynamical Organization of Recollisions by a Family of Invariant Tori	3

Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	3
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	3
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	3
Flocks with Nonlinear Inherent Dynamics under Fixed and Switching Digraphs	3
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions	3
Spatial Near-Elliptical Symmetric Periodic Orbits of Perturbed Kepler Problems: From Existence to Stability	3
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	3