OOIR: Observatory of International Research

Papers

(The TQCC 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 2021-04-01 to 2025-04-01.)

Article	Citations
Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint	9
Asymptotics of Self-Oscillations in Chains of Systems of Nonlinear Equations	9
On the Isolation/Nonisolation of a Cosymmetric Equilibrium and Bifurcations in its Neighborhood	7
Antisymmetric Diffeomorphisms and Bifurcations of a Double Conservative Hénon Map	7
Stability of the Relative Equilibria in the Two-body Problem on the Sphere	7
Helical Contour Dynamics	6
The Centroid-Deformation Decomposition for Buoyant Vortex Patch Motion	6
The Time Evolution of the Trajectories After the Selectivity in a Symmetric Potential Energy Surface with a Post-transition-state Bifurcation	6
Interaction of an Upwelling Front with External Vortices: Impact on Cross-shore Particle Exchange	5
Polynomial Entropy and Polynomial Torsion for Fibered Systems	5
Formal Stability, Stability for Most Initial Conditions and Diffusion in Analytic Systems of Differential Equations	5
Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base Using Feedback	5
Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex	4
Dynamical Properties of Continuous Semigroup Actions and Their Products	4
Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface	4
Nonintegrability of the Reduced Planar Three-body Problem with Generalized Force	4
Dynamics of Slow-Fast Hamiltonian Systems: The Saddle–Focus Case	4
Classification of Axiom A Diffeomorphisms with Orientable Codimension One Expanding Attractors and Contracting Repellers	4
Dynamics of a Circular Cylinder and Two Point Vortices in a Perfect Fluid	4
Chain-Recurrent $$C^{0}$$- $$\Omega$$-Blowup in $$C^{1}$$-Smooth Simplest Skew Products on Multidimensional Cells	4
On the Stability of Discrete $$N+1$$ Vortices in a Two-Layer Rotating Fluid: The Cases $$N=4,5,6$$	3
From $$2N$$ to Infinitely Many Escape Orbits	3
Local and Nonlocal Cycles in a System with Delayed Feedback Having Compact Support	3
Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid	3
Genericity of Homeomorphisms with Full Mean Hausdorff Dimension	3

On Some Aspects of the Dynamics of a Ball in a Rotating Surface of Revolution and of the Kasamawashi Art	3
Mechanism of Selectivity in the Coupled FitzHugh – Nagumo Neurons	2
Rotations and Integrability	2
On $$SL(2,\mathbb{R})$$-Cocycles over Irrational Rotations with Secondary Collisions	2
Complex Arnol’d – Liouville Maps	2
Celebrating the 200th Anniversary of the Birth of Hermann Ludwig Ferdinand von Helmholtz (31.08.1821–08.09.1894)	2
ALEXEY BORISOV MEMORIAL VOLUME	2
Unifying the Hyperbolic and Spherical $$2$$-Body Problem with Biquaternions	2
On the Topology of the Atmosphere Advected by a Periodic Array of Axisymmetric Thin-cored Vortex Rings	2
Nonlinear Dynamics of a Roller Bicycle	2
Conservation Laws for Solitons in Magneto-optic Waveguides with Anti-cubic and Generalized Anti-cubic Nonlinearities	2
Dynamics of an Elliptic Foil with an Attached Vortex in an Ideal Fluid: The Integrable Case	2
Universal Transient Dynamics in Oscillatory Network Models of Epileptic Seizures	2
Synchronization and Bistability of Two Uniaxial Spin-Transfer Oscillators with Field Coupling	2
On the Birth of Discrete Lorenz Attractors Under Bifurcations of 3D Maps with Nontransversal Heteroclinic Cycles	2
Non-Quasi-Periodic Normal Form Theory	2
Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves	2
Higher Symmetries of Lattices in 3D	2
Extremal Black Holes as Relativistic Systems with Kepler Dynamics	2
On the Integrability of Circulatory Systems	2
IN HONOR OF SERGEY GONCHENKO AND VLADIMIR BELYKH	2
Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions	2
The Dynamical Core of a Homoclinic Orbit	2
Chaos and Hyperchaos in Two Coupled Identical Hindmarsh – Rose Systems	2
Parametrised KAM Theory, an Overview	1
Numerical Study of Discrete Lorenz-Like Attractors	1
3D Orbital Architecture of Exoplanetary Systems: KAM-Stability Analysis	1
Attractive Invariant Circles à la Chenciner	1
On the Regularity of Invariant Foliations	1
The Spherical Kapitza – Whitney Pendulum	1
On the Existence of Expanding Attractors with Different Dimensions	1
A Note on the Weighted Yamabe Flow	1
Erratum to: On Some Invariants of Birkhoff Billiards Under Conjugacy	1
Components of Stable Isotopy Connectedness of Morse – Smale Diffeomorphisms	1
The Influence of a Parameter that Controls the Asymmetry of a Potential Energy Surface with an Entrance Channel and Two Potential Wells	1
The Role of Tidal Forces in the Long-term Evolution of the Galilean System	1
Analyzing the Motion of a Washer on a Rod	1
Spherical and Planar Ball Bearings — a Study of Integrable Cases	1
Lax Pairs and Rational Solutions of Similarity Reductions for Kupershmidt and Sawada – Kotera Hierarchies	1
KAM for Vortex Patches	1
Lagrangian Manifolds in the Theory of Wave Beams and Solutions of the Helmholtz Equation	1
Using Couplings to Suppress Chaos and Produce a Population Stabilisation Strategy	1
Affine Generalizations of the Nonholonomic Problem of a Convex Body Rolling without Slipping on the Plane	1
Biasymptotically Quasi-Periodic Solutions for Time-Dependent Hamiltonians	1
Isolated Diophantine Numbers	1
Destruction of Cluster Structures in an Ensemble of Chaotic Maps with Noise-modulated Nonlocal Coupling	1
Quasi-Periodicity at Transition from Spiking to Bursting in the Pernarowski Model of Pancreatic Beta Cells	1
Twin Heteroclinic Connections of Reversible Systems	1
Expansiveness and Hyperbolicity in Convex Billiards	1
Remarks on Rigidity Properties of Conics	1

Recruitment Effects on the Evolution of Epidemics in a Simple SIR Model	1
On Some Invariants of Birkhoff Billiards Under Conjugacy	1
Loops of Infinite Order and Toric Foliations	1