OOIR: Observatory of International Research

Papers

(The median citation count of Regular & Chaotic Dynamics is 1. 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 2022-05-01 to 2026-05-01.)

Article	Citations
On Perturbations of the Spectrum of a One-Dimensional $$\mathcal{PT}$$-Symmetric Periodic Schrödinger Operator	13
On Rational Integrals of Geodesic Flows on 2-Surfaces	10
Local and Nonlocal Cycles in a System with Delayed Feedback Having Compact Support	8
Synchronization and Bistability of Two Uniaxial Spin-Transfer Oscillators with Field Coupling	7
Attractive Invariant Circles à la Chenciner	7
Complex Arnol’d – Liouville Maps	7
Chain-Recurrent $$C^{0}$$- $$\Omega$$-Blowup in $$C^{1}$$-Smooth Simplest Skew Products on Multidimensional Cells	7
On the Finiteness Issue of Four-Body Balanced Configurations in the Plane	6
Lyapunov Exponents of Linear Switched Systems	6
Normal Form of the Equations of Perturbed Motion near Triangular Libration Points at Third-Order Resonances	6
Continuations and Bifurcations of Relative Equilibria for the Positively Curved Three-Body Problem	5
Synchronization by an External Periodic Force in Ensembles of Globally Coupled Phase Oscillators	5
Dynamics of Two Vortex Rings in a Bose – Einstein Condensate	5
Maximal Tori in Infinite-Dimensional Hamiltonian Systems: a Renormalisation Group Approach	4
Tides and Dumbbell Dynamics	4
Circular Fleitas Scheme for Gradient-Like Flows on the Surface	4
Verification of Chaos in a Human Cardiovascular System Model	4
Emergence of Strange Attractors from Singularities	4
On a Quadratic Poisson Algebra and Integrable Lotka – Volterra Systems with Solutions in Terms of Lambert’s $$W$$ Function	4
Spiral-Like Extremals near a Singular Surface in a Rocket Control Problem	4
Aubry Set on Infinite Cyclic Coverings	4
On Mixed Dynamics in the Duffing Equation with Periodic Perturbations	4
Closed Servoconstraints in Periodic Motion Planning for Underactuated Mechanical Systems	4
Rolling of a Homogeneous Ball on a Moving Cylinder	4
On Bifurcations of Symmetric Elliptic Orbits	4

On Oscillations in a Neighborhood of Lagrangian Libration Points in One Resonance Case	3
Invariant Measures as Obstructions to Attractors in Dynamical Systems and Their Role in Nonholonomic Mechanics	3
Spectral Analysis of a System of Pendula Hanging from a Viscoelastic String and of its Synchronization Patterns	3
On the Structure of Orbits from a Neighborhood of a Transversal Homoclinic Orbit to a Nonhyperbolic Fixed Point	3
Dynamics of a Body with a Trailing Edge and Embedded Dipoles in an Ideal Fluid	3
Infinite-Dimensional and Field-Theoretic Nonholonomic Mechanics	3
Rhomboidal Central Configurations of the Five-Body Problem	3
Synchronous Patterns in an Ensemble of Two Excitatory Coupled Nonidentical Excitable $$\phi$$-Neurons	3
Reduction of Divisors and the Clebsch System	3
On a Novel Hamiltonian Description of the Nonholonomic Suslov Problem	3
Scenarios for the Creation of Hyperchaotic Attractors with Three Positive Lyapunov Exponents	3
Asymptotics of Self-Oscillations in Chains of Systems of Nonlinear Equations	3
Formal Stability, Stability for Most Initial Conditions and Diffusion in Analytic Systems of Differential Equations	3
V-Shaped Action Functional with Delay	3
Foreword	3
On Isolated Periodic Points of Diffeomorphisms with Expanding Attractors of Codimension 1	3
Roller Racer with Varying Gyrostatic Momentum: Acceleration Criterion and Strange Attractors	3
More on Superintegrable Models on Spaces of Constant Curvature	3
Polynomial Entropy and Polynomial Torsion for Fibered Systems	3
Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid	3
Nineteen Fifty-Four: Kolmogorov’s New “Metrical Approach” to Hamiltonian Dynamics	2
On Pendulum-Type Motions and Permanent Rotations in an Approximate Problem of the Dynamics of a Rigid Body with a Vibrating Suspension	2
Scalar Polynomial Vector Fields in Real and Complex Time	2
Sonya Kowalewski’s Legacy to Mechanics and Complex Lie Algebras	2
On the Topological Structure of Manifolds Supporting Axiom A Systems	2
Computing the Dynamical Core of Horseshoe Homoclinic Orbits	2
A Remark on the Onset of Resonance Overlap	2
Analyzing the Motion of a Washer on a Rod	2
Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface	2
Real Analyticity of 2-Dimensional Superintegrable Metrics and Solution of Two Bolsinov – Kozlov – Fomenko Conjectures	2
Scientific Heritage of L. P. Shilnikov. Part II. Homoclinic Chaos	2
Symplectic Classification for Universal Unfoldings of $$A_{n}$$ Singularities in Integrable Systems	2
Computation of Periodic Libration Point Orbits in the Circular Restricted Three-Body Problem	2
On Elliptic Lower-Dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems with Small Parameters	2
On the 175th Anniversary of S. V. Kovalevskaya	2
Morse – Smale Inequalities and Chafee – Infante Attractors	2
Numerical Evidence of Hyperbolic Dynamics and Coding of Solutions for Duffing-Type Equations with Periodic Coefficients	2
Traveling Wave Solutions of the Burgers – Gardner Equation with a Nonlinear Source	2
Topological Classification of Polar Flows on Four-Dimensional Manifolds	2
Non-Integrable Sub-Riemannian Geodesic Flow on $$J^{2}(\mathbb{R}^{2},\mathbb{R})$$	2
Erratum to: On Some Invariants of Birkhoff Billiards Under Conjugacy	2
On the Linear Stability of a Vortex Pair Equilibrium on a Riemann Surface of Genus Zero	2
Spinning Top in Quadratic Potential and Matrix Dressing Chain	2
On the Lambert Problem with Drag	2
Darboux Inversions of the Kepler Problem	2
Numerical Study of Discrete Lorenz-Like Attractors	1
On Complex Algebraic Caustics in Planar and Projective Billiards	1
Parametrised KAM Theory, an Overview	1
On the Singularities in the Dynamics of a Spherical Top with Nonholonomic Constraints	1
Rotations and Integrability	1

On the Analytic Properties of the Perturbing Function in the PCR3Body Problem	1
Liouvillian Solutions in the Problem of Motion of a Heavy Gyrostat with a Fixed Point under the Action of Gyroscopic Forces in the Hess Case	1
Antisymmetric Diffeomorphisms and Bifurcations of a Double Conservative Hénon Map	1
Quasi-Periodic Parametric Perturbations of Two-Dimensional Hamiltonian Systems with Nonmonotonic Rotation	1
Discrete Mechanics and Nonholonomic Integrators	1
On Eisenhart’s Type Theorem for Sub-Riemannian Metrics on Step $$2$$ Distributions with $$\mathrm{ad}$$-Surjective Tanaka Symbols	1
Degenerate Resonances and Synchronization in Nearly Hamiltonian Systems Under Quasi-periodic Perturbations	1
Persistence of Multiscale Degenerate Invariant Tori for Reversible Systems with Multiscale Degenerate Equilibrium Points	1
Isolated Diophantine Numbers	1
IN HONOR OF SERGEY GONCHENKO AND VLADIMIR BELYKH	1
Hyperbolic Attractors Which are Anosov Tori	1
Billiard Trajectories inside Cones	1
3D Orbital Architecture of Exoplanetary Systems: KAM-Stability Analysis	1
Lagrangian Manifolds in the Theory of Wave Beams and Solutions of the Helmholtz Equation	1
Comments on a Paper about Rubber Rolling by A. V. Borisov, I. S. Mamaev and I. A. Bizyaev (with an Appendix by Luis C. García-Naranjo)	1
Möbius Fluid Dynamics on the Unitary Groups	1
Mechanism of Selectivity in the Coupled FitzHugh – Nagumo Neurons	1
Integrable Systems Associated to the Filtrations of Lie Algebras	1
From $$2N$$ to Infinitely Many Escape Orbits	1
Compactification of the Energy Surfaces for $$n$$ Bodies	1
KAM for Vortex Patches	1
On the Problem of Stability of Viscous Shocks	1
Geodesics with Unbounded Speed on Fluctuating Surfaces	1
Routes to Chaos in a Three-Dimensional Cancer Model	1
Biasymptotically Quasi-Periodic Solutions for Time-Dependent Hamiltonians	1
Functional Invariants in Semilocal Bifurcations	1
Switching Activity in an Ensemble of Excitable Neurons	1
Solvable Algebras and Integrable Systems	1
On the Existence of Expanding Attractors with Different Dimensions	1
Higher Symmetries of Lattices in 3D	1
Painlevé Test, First Integrals and Exact Solutions of Nonlinear Dissipative Differential Equations	1
Erratum to: The Lagrange Identity and Dynamics in a Potential Jacobi Field	1
Spherical and Planar Ball Bearings — Nonholonomic Systems with Invariant Measures	1
Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint	1
Side-Comparison for Transition Maps in Multi-Layer Canard Problems	1
On Morse – Smale 3-Diffeomorphisms with a Given Tuple of Sink Points Periods	1
On Partially Hyperbolic Diffeomorphisms and Regular Denjoy Type Homeomorphisms	1
The Role of Tidal Forces in the Long-term Evolution of the Galilean System	1
Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid	1
On Tensor Invariants of the Clebsch System	1
Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves	1
On the Regularity of Invariant Foliations	1
Embedded Solitons of the Generalized Nonlinear Schrödinger Equation with High Dispersion	1
Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base Using Feedback	1