OOIR: Observatory of International Research

Papers

(The TQCC of Regular & Chaotic Dynamics is 2. 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 2021-06-01 to 2025-06-01.)

Article	Citations
Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex	10
Chain-Recurrent $$C^{0}$$- $$\Omega$$-Blowup in $$C^{1}$$-Smooth Simplest Skew Products on Multidimensional Cells	9
Local and Nonlocal Cycles in a System with Delayed Feedback Having Compact Support	9
Complex Arnol’d – Liouville Maps	8
On the Integrability of Circulatory Systems	7
Synchronization and Bistability of Two Uniaxial Spin-Transfer Oscillators with Field Coupling	7
Attractive Invariant Circles à la Chenciner	6
A Particular Integrable Case in the Nonautonomous Problem of a Chaplygin Sphere Rolling on a Vibrating Plane	6
Aubry Set on Infinite Cyclic Coverings	6
Verification of Chaos in a Human Cardiovascular System Model	6
Synchronization by an External Periodic Force in Ensembles of Globally Coupled Phase Oscillators	6
Spatiotemporal Pattern Formation in a Ring of Chua’s Oscillators	5
Continuations and Bifurcations of Relative Equilibria for the Positively Curved Three-Body Problem	5
Spiral-Like Extremals near a Singular Surface in a Rocket Control Problem	5
Dynamics of Two Vortex Rings in a Bose – Einstein Condensate	5
Maximal Tori in Infinite-Dimensional Hamiltonian Systems: a Renormalisation Group Approach	5
Emergence of Strange Attractors from Singularities	5
On Bifurcations of Symmetric Elliptic Orbits	5
Something Old, Something New: Three Point Vortices on the Plane	4
Rolling of a Homogeneous Ball on a Moving Cylinder	4
Tides and Dumbbell Dynamics	4
Foreword	4
On a Quadratic Poisson Algebra and Integrable Lotka – Volterra Systems with Solutions in Terms of Lambert’s $$W$$ Function	4
Circular Fleitas Scheme for Gradient-Like Flows on the Surface	4
On the Structure of Orbits from a Neighborhood of a Transversal Homoclinic Orbit to a Nonhyperbolic Fixed Point	4

V-Shaped Action Functional with Delay	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
Invariant Measures as Obstructions to Attractors in Dynamical Systems and Their Role in Nonholonomic Mechanics	3
Reduction of Divisors and the Clebsch System	3
Scenarios for the Creation of Hyperchaotic Attractors with Three Positive Lyapunov Exponents	3
Billiard Ordered Games and Books	3
More on Superintegrable Models on Spaces of Constant Curvature	3
Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid	3
Morse – Smale Inequalities and Chafee – Infante Attractors	2
On the Lambert Problem with Drag	2
Analyzing the Motion of a Washer on a Rod	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
A Remark on the Onset of Resonance Overlap	2
Ring Configurations of Point Vortices in Polar Atmospheres	2
Scientific Heritage of L. P. Shilnikov. Part II. Homoclinic Chaos	2
Polynomial Entropy and Polynomial Torsion for Fibered Systems	2
Expansiveness and Hyperbolicity in Convex Billiards	2
On the Topological Structure of Manifolds Supporting Axiom A Systems	2
Asymptotics of Self-Oscillations in Chains of Systems of Nonlinear Equations	2
Darboux Inversions of the Kepler Problem	2
Non-Integrable Sub-Riemannian Geodesic Flow on $$J^{2}(\mathbb{R}^{2},\mathbb{R})$$	2
Nineteen Fifty-Four: Kolmogorov’s New “Metrical Approach” to Hamiltonian Dynamics	2
Formal Stability, Stability for Most Initial Conditions and Diffusion in Analytic Systems of Differential Equations	2
Remarks on Rigidity Properties of Conics	2
Spectral Radius Formula for a Parametric Family of Functional Operators	2
On Elliptic Lower-Dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems with Small Parameters	2
Numerical Evidence of Hyperbolic Dynamics and Coding of Solutions for Duffing-Type Equations with Periodic Coefficients	2
Scalar Polynomial Vector Fields in Real and Complex Time	2