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 2020-11-01 to 2024-11-01.)

Article	Citations
Soliton Solutions of High-order Nonlinear Schrödinger Equations with Different Laws of Nonlinearities	67
Highly Dispersive Optical Solitons of an Equation with Arbitrary Refractive Index	56
Quantifying the Transition from Spiral Waves to Spiral Wave Chimeras in a Lattice of Self-sustained Oscillators	11
Dynamics of the Tippe Top on a Vibrating Base	11
The Tippedisk: a Tippetop Without Rotational Symmetry	11
Stability and Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base	10
Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems	10
Embedded Solitons of the Generalized Nonlinear Schrödinger Equation with High Dispersion	9
From Poincaré Maps to Lagrangian Descriptors: The Case of the Valley Ridge Inflection Point Potential	8
Billiard Ordered Games and Books	7
Dynamics of a Circular Cylinder and Two Point Vortices in a Perfect Fluid	7
On the Integrability of Circulatory Systems	7
Conservation Laws for Solitons in Magneto-optic Waveguides with Anti-cubic and Generalized Anti-cubic Nonlinearities	7
Existence of a Smooth Hamiltonian Circle Action near Parabolic Orbits and Cuspidal Tori	6
Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid	6
Parametric Stability of a Charged Pendulum with an Oscillating Suspension Point	6
Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface	6
Classical and Quantum Dynamical Manifestations of Index-$$2$$ Saddles: Concerted Versus Sequential Reaction Mechanisms	5
Lax Pairs and Rational Solutions of Similarity Reductions for Kupershmidt and Sawada – Kotera Hierarchies	5
A Top on a Vibrating Base: New Integrable Problem of Nonholonomic Mechanics	5
Second-order Saddle Dynamics in Isomerization Reaction	5
Dynamics of a Spherical Robot with Variable Moments of Inertia and a Displaced Center of Mass	5
Integrals of Circulatory Systems Which are Quadratic in Momenta	5
The Motion of an Unbalanced Circular Disk in the Field of a Point Source	5
Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex	4

On Topological Classification of Gradient-like Flows on an $$n$$-sphere in the Sense of Topological Conjugacy	4
Ring Configurations of Point Vortices in Polar Atmospheres	4
The Spherical Kapitza – Whitney Pendulum	4
Confinement Strategies in a Simple SIR Model	4
Isochronicity in 1 DOF	4
The Time Evolution of the Trajectories After the Selectivity in a Symmetric Potential Energy Surface with a Post-transition-state Bifurcation	4
V. I. Arnold’s “Global” KAM Theorem and Geometric Measure Estimates	4
Nondegenerate Hamiltonian Hopf Bifurcations in $$\omega:3:6$$ Resonance $$(\omega=1$$ or $$2)$$	4
Spherical and Planar Ball Bearings — Nonholonomic Systems with Invariant Measures	3
A Particular Integrable Case in the Nonautonomous Problem of a Chaplygin Sphere Rolling on a Vibrating Plane	3
Uncertainty Quantification of Stochastic Epidemic SIR Models Using B-spline Polynomial Chaos	3
On Singularly Perturbed Linear Cocycles over Irrational Rotations	3
Destruction of Cluster Structures in an Ensemble of Chaotic Maps with Noise-modulated Nonlocal Coupling	3
Spatiotemporal Pattern Formation in a Ring of Chua’s Oscillators	3
Three-dimensional Quasi-geostrophic Staggered Vortex Arrays	3
Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint	3
Darboux Inversions of the Kepler Problem	2
Dynamics of Two Vortex Rings in a Bose – Einstein Condensate	2
On the Topological Structure of Manifolds Supporting Axiom A Systems	2
The Role of Tidal Forces in the Long-term Evolution of the Galilean System	2
Integrals of Motion in Time-periodic Hamiltonian Systems: The Case of the Mathieu Equation	2
From $$2N$$ to Infinitely Many Escape Orbits	2
Roller Racer with Varying Gyrostatic Momentum: Acceleration Criterion and Strange Attractors	2
Something Old, Something New: Three Point Vortices on the Plane	2
Geodesics in Jet Space	2
Spectral Radius Formula for a Parametric Family of Functional Operators	2
On Some Invariants of Birkhoff Billiards Under Conjugacy	2
Numerical Study of Discrete Lorenz-Like Attractors	2
Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves	2
Construction of the Morse – Bott Energy Function for Regular Topological Flows	2
Classification of Perturbations of Diophantine $$\mathbb{Z}^{m}$$ Actions on Tori of Arbitrary Dimension	2
Evolution of the Singularities of the Schwarz Function Corresponding to the Motion of a Vortex Patch in the Two-dimensional Euler Equations	2
Three-Body Relative Equilibria on $$\mathbb{S}^{2}$$	2
Persistence of Multiscale Degenerate Invariant Tori for Reversible Systems with Multiscale Degenerate Equilibrium Points	2
Chaos and Hyperchaos in Two Coupled Identical Hindmarsh – Rose Systems	2
Spherical and Planar Ball Bearings — a Study of Integrable Cases	2
On Some Aspects of the Dynamics of a Ball in a Rotating Surface of Revolution and of the Kasamawashi Art	2
On the Metric Stability and the Nekhoroshev Estimate of the Velocity of Arnold Diffusion in a Special Case of the Three-body Problem	2
Investigating the Stability and Accuracy of a Classical Mapping Variable Hamiltonian for Nonadiabatic Quantum Dynamics	2