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 2021-02-01 to 2025-02-01.)

Article	Citations
Universal Transient Dynamics in Oscillatory Network Models of Epileptic Seizures	9
Asymptotics of Self-Oscillations in Chains of Systems of Nonlinear Equations	8
Antisymmetric Diffeomorphisms and Bifurcations of a Double Conservative Hénon Map	7
Conservation Laws for Solitons in Magneto-optic Waveguides with Anti-cubic and Generalized Anti-cubic Nonlinearities	7
On the Isolation/Nonisolation of a Cosymmetric Equilibrium and Bifurcations in its Neighborhood	7
Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint	7
Stability of the Relative Equilibria in the Two-body Problem on the Sphere	6
Helical Contour Dynamics	6
The Centroid-Deformation Decomposition for Buoyant Vortex Patch Motion	6
Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex	5
Formal Stability, Stability for Most Initial Conditions and Diffusion in Analytic Systems of Differential Equations	5
Polynomial Entropy and Polynomial Torsion for Fibered Systems	5
The Time Evolution of the Trajectories After the Selectivity in a Symmetric Potential Energy Surface with a Post-transition-state Bifurcation	5
Classification of Axiom A Diffeomorphisms with Orientable Codimension One Expanding Attractors and Contracting Repellers	5
Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base Using Feedback	5
Dynamics of a Circular Cylinder and Two Point Vortices in a Perfect Fluid	4
From Poincaré Maps to Lagrangian Descriptors: The Case of the Valley Ridge Inflection Point Potential	4
Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface	4
Interaction of an Upwelling Front with External Vortices: Impact on Cross-shore Particle Exchange	4
Nonintegrability of the Reduced Planar Three-body Problem with Generalized Force	4
From $$2N$$ to Infinitely Many Escape Orbits	4
Genericity of Homeomorphisms with Full Mean Hausdorff Dimension	3
Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid	3
Dynamics of Slow-Fast Hamiltonian Systems: The Saddle-Focus Case	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	3
On the Stability of Discrete $$N+1$$ Vortices in a Two-Layer Rotating Fluid: The Cases $$N=4,5,6$$	3
Celebrating the 200th Anniversary of the Birth of Hermann Ludwig Ferdinand von Helmholtz (31.08.1821–08.09.1894)	2
Nonlinear Dynamics of a Roller Bicycle	2
Numerical Study of Discrete Lorenz-Like Attractors	2
Quasi-Periodicity at Transition from Spiking to Bursting in the Pernarowski Model of Pancreatic Beta Cells	2
Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves	2
The Spherical Kapitza – Whitney Pendulum	2
Spherical and Planar Ball Bearings — a Study of Integrable Cases	2
Unifying the Hyperbolic and Spherical $$2$$-Body Problem with Biquaternions	2
On $$SL(2,\mathbb{R})$$-Cocycles over Irrational Rotations with Secondary Collisions	2
Higher Symmetries of Lattices in 3D	2
Lax Pairs and Rational Solutions of Similarity Reductions for Kupershmidt and Sawada – Kotera Hierarchies	2
Twin Heteroclinic Connections of Reversible Systems	2
Extremal Black Holes as Relativistic Systems with Kepler Dynamics	2
Attractive Invariant Circles à la Chenciner	2
Dynamics of an Elliptic Foil with an Attached Vortex in an Ideal Fluid: The Integrable Case	2
Non-Quasi-Periodic Normal Form Theory	2
Biasymptotically Quasi-Periodic Solutions for Time-Dependent Hamiltonians	2
Rotations and Integrability	2
On the Regularity of Invariant Foliations	2
Isolated Diophantine Numbers	2
3D Orbital Architecture of Exoplanetary Systems: KAM-Stability Analysis	2
Expansiveness and Hyperbolicity in Convex Billiards	2
Complex Arnol’d – Liouville Maps	2