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 2022-08-01 to 2026-08-01.)

Article	Citations
On Rational Integrals of Geodesic Flows on 2-Surfaces	13
Chain-Recurrent $$C^{0}$$- $$\Omega$$-Blowup in $$C^{1}$$-Smooth Simplest Skew Products on Multidimensional Cells	11
On Perturbations of the Spectrum of a One-Dimensional $$\mathcal{PT}$$-Symmetric Periodic Schrödinger Operator	8
Attractive Invariant Circles à la Chenciner	7
Normal Form of the Equations of Perturbed Motion near Triangular Libration Points at Third-Order Resonances	7
Synchronization and Bistability of Two Uniaxial Spin-Transfer Oscillators with Field Coupling	7
Local and Nonlocal Cycles in a System with Delayed Feedback Having Compact Support	7
Complex Arnol’d – Liouville Maps	6
Dynamics of Two Vortex Rings in a Bose – Einstein Condensate	6
Lyapunov Exponents of Linear Switched Systems	6
Aubry Set on Infinite Cyclic Coverings	6
On the Finiteness Issue of Four-Body Balanced Configurations in the Plane	6
On Bifurcations of Symmetric Elliptic Orbits	5
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
Spiral-Like Extremals near a Singular Surface in a Rocket Control Problem	4
Foreword	4
Closed Servoconstraints in Periodic Motion Planning for Underactuated Mechanical Systems	4
Maximal Tori in Infinite-Dimensional Hamiltonian Systems: a Renormalisation Group Approach	4
On a Quadratic Poisson Algebra and Integrable Lotka – Volterra Systems with Solutions in Terms of Lambert’s $$W$$ Function	4
On the Structure of Orbits from a Neighborhood of a Transversal Homoclinic Orbit to a Nonhyperbolic Fixed Point	4
Emergence of Strange Attractors from Singularities	4
Synchronous Patterns in an Ensemble of Two Excitatory Coupled Nonidentical Excitable $$\phi$$-Neurons	4
Circular Fleitas Scheme for Gradient-Like Flows on the Surface	4
Invariant Measures as Obstructions to Attractors in Dynamical Systems and Their Role in Nonholonomic Mechanics	4

Verification of Chaos in a Human Cardiovascular System Model	4
On Mixed Dynamics in the Duffing Equation with Periodic Perturbations	4
Rhomboidal Central Configurations of the Five-Body Problem	3
On Oscillations in a Neighborhood of Lagrangian Libration Points in One Resonance Case	3
Dynamics of a Body with a Trailing Edge and Embedded Dipoles in an Ideal Fluid	3
Roller Racer with Varying Gyrostatic Momentum: Acceleration Criterion and Strange Attractors	3
Polynomial Entropy and Polynomial Torsion for Fibered Systems	3
Analyzing the Motion of a Washer on a Rod	3
On the Topological Structure of Manifolds Supporting Axiom A Systems	3
On a Novel Hamiltonian Description of the Nonholonomic Suslov Problem	3
More on Superintegrable Models on Spaces of Constant Curvature	3
V-Shaped Action Functional with Delay	3
On Isolated Periodic Points of Diffeomorphisms with Expanding Attractors of Codimension 1	3
Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid	3
2-Elliptic Periodic Orbits near a Nonsimple Homoclinic Tangency in Four-Dimensional Symplectic Maps	3
Computation of Periodic Libration Point Orbits in the Circular Restricted Three-Body Problem	3
Formal Stability, Stability for Most Initial Conditions and Diffusion in Analytic Systems of Differential Equations	3
Scenarios for the Creation of Hyperchaotic Attractors with Three Positive Lyapunov Exponents	3
Spectral Analysis of a System of Pendula Hanging from a Viscoelastic String and of its Synchronization Patterns	3
Rolling of a Homogeneous Ball on a Moving Cylinder	3
Asymptotics of Self-Oscillations in Chains of Systems of Nonlinear Equations	3
Infinite-Dimensional and Field-Theoretic Nonholonomic Mechanics	3
Sonya Kowalewski’s Legacy to Mechanics and Complex Lie Algebras	3
Erratum to: On Some Invariants of Birkhoff Billiards Under Conjugacy	3
Nonexistence of Invariant Curves for Some Billiard Systems	2
On Pendulum-Type Motions and Permanent Rotations in an Approximate Problem of the Dynamics of a Rigid Body with a Vibrating Suspension	2
On Elliptic Lower-Dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems with Small Parameters	2
A Remark on the Onset of Resonance Overlap	2
Scientific Heritage of L. P. Shilnikov. Part II. Homoclinic Chaos	2
Computing the Dynamical Core of Horseshoe Homoclinic Orbits	2
Symplectic Classification for Universal Unfoldings of $$A_{n}$$ Singularities in Integrable Systems	2
Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base Using Feedback	2
On Tensor Invariants of the Clebsch System	2
Non-Integrable Sub-Riemannian Geodesic Flow on $$J^{2}(\mathbb{R}^{2},\mathbb{R})$$	2
On the Linear Stability of a Vortex Pair Equilibrium on a Riemann Surface of Genus Zero	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
Nineteen Fifty-Four: Kolmogorov’s New “Metrical Approach” to Hamiltonian Dynamics	2
Topological Classification of Polar Flows on Four-Dimensional Manifolds	2
Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves	2
Functional Invariants in Semilocal Bifurcations	2
Spinning Top in Quadratic Potential and Matrix Dressing Chain	2
On the 175th Anniversary of S. V. Kovalevskaya	2
On the Lambert Problem with Drag	2
Scalar Polynomial Vector Fields in Real and Complex Time	2
Real Analyticity of 2-Dimensional Superintegrable Metrics and Solution of Two Bolsinov – Kozlov – Fomenko Conjectures	2
Traveling Wave Solutions of the Burgers – Gardner Equation with a Nonlinear Source	2
Quasiperiodic Version of Gordon’s Theorem	1
Mechanism of Selectivity in the Coupled FitzHugh – Nagumo Neurons	1
Slow-Fast Systems with an Equilibrium Near the Folded Slow Manifold	1

Parametrised KAM Theory, an Overview	1
Antisymmetric Diffeomorphisms and Bifurcations of a Double Conservative Hénon Map	1
Discrete Mechanics and Nonholonomic Integrators	1
On Morse – Smale 3-Diffeomorphisms with a Given Tuple of Sink Points Periods	1
Hyperbolic Attractors Which are Anosov Tori	1
Side-Comparison for Transition Maps in Multi-Layer Canard Problems	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
Persistence of Multiscale Degenerate Invariant Tori for Reversible Systems with Multiscale Degenerate Equilibrium Points	1
Solvable Algebras and Integrable Systems	1
On the Regularity of Invariant Foliations	1
Quasi-Periodic Parametric Perturbations of Two-Dimensional Hamiltonian Systems with Nonmonotonic Rotation	1
KAM for Vortex Patches	1
Valery V. Kozlov On the Occasion of his 75th Birthday	1
On the Problem of Stability of Viscous Shocks	1
On Phase at a Resonance in Slow-Fast Hamiltonian Systems	1
Normalization Flow	1
Billiard Trajectories inside Cones	1
Erratum to: The Lagrange Identity and Dynamics in a Potential Jacobi Field	1
From $$2N$$ to Infinitely Many Escape Orbits	1
Poncelet Porism in Singular Cases	1
3D Orbital Architecture of Exoplanetary Systems: KAM-Stability Analysis	1
Compactification of the Energy Surfaces for $$n$$ Bodies	1
Switching Activity in an Ensemble of Excitable Neurons	1
On Eisenhart’s Type Theorem for Sub-Riemannian Metrics on Step $$2$$ Distributions with $$\mathrm{ad}$$-Surjective Tanaka Symbols	1
On the Analytic Properties of the Perturbing Function in the PCR3Body Problem	1
Integrable Systems Associated to the Filtrations of Lie Algebras	1
Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid	1
Isolated Diophantine Numbers	1
IN HONOR OF SERGEY GONCHENKO AND VLADIMIR BELYKH	1
Lagrangian Manifolds in the Theory of Wave Beams and Solutions of the Helmholtz Equation	1
On Smoothness of Invariant Foliations Near a Homoclinic Bifurcation Creating Lorenz-Like Attractors	1
In Honor of the 90th Anniversary of Leonid Pavlovich Shilnikov (1934–2011)	1
Degenerate Resonances and Synchronization in Nearly Hamiltonian Systems Under Quasi-periodic Perturbations	1
Singular Points in Generic Two-Parameter Families of Vector Fields on a 2-Manifold	1
Higher Symmetries of Lattices in 3D	1
Normal Forms for Hamiltonian Systems in Some Nilpotent Cases	1
Abnormal Geodesics for a Carnot Group with Growth Vector $$(2,3,5,8,14)$$	1
Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint	1
The Ozawa Solution to the Davey – Stewartson II Equations and Surface Theory	1
On the Existence of Expanding Attractors with Different Dimensions	1
On the Singularities in the Dynamics of a Spherical Top with Nonholonomic Constraints	1
Painlevé Test, First Integrals and Exact Solutions of Nonlinear Dissipative Differential Equations	1
Routes to Chaos in a Three-Dimensional Cancer Model	1
Embedded Solitons of the Generalized Nonlinear Schrödinger Equation with High Dispersion	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
Geodesics with Unbounded Speed on Fluctuating Surfaces	1
Biasymptotically Quasi-Periodic Solutions for Time-Dependent Hamiltonians	1
Rotations and Integrability	1
Numerical Study of Discrete Lorenz-Like Attractors	1
Integral Formulas for the Painlevé-2 Transcendent	1
On Partially Hyperbolic Diffeomorphisms and Regular Denjoy Type Homeomorphisms	1
New Stationary $$N$$-Symmetric States of Three Point Vortices in a Two-Layer Rotating Fluid	1
A Simple Proof of Gevrey Estimates for Expansions of Quasi-Periodic Orbits: Dissipative Models and Lower-Dimensional Tori	1
On Complex Algebraic Caustics in Planar and Projective Billiards	1