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 2020-03-01 to 2024-03-01.)

Article	Citations
Soliton Solutions of High-order Nonlinear Schrödinger Equations with Different Laws of Nonlinearities	61
Highly Dispersive Optical Solitons of an Equation with Arbitrary Refractive Index	48
A New $$(3+1)$$-dimensional Hirota Bilinear Equation: Its Bäcklund Transformation and Rational-type Solutions	34
Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers	24
Optical Dromions and Domain Walls with the Kundu – Mukherjee – Naskar Equation by the Laplace – Adomian Decomposition Scheme	11
Chaos in Bohmian Quantum Mechanics: A Short Review	11
Dynamics of the Tippe Top on a Vibrating Base	11
The Tippedisk: a Tippetop Without Rotational Symmetry	9
Dynamics of Rubber Chaplygin Sphere under Periodic Control	9
Quantifying the Transition from Spiral Waves to Spiral Wave Chimeras in a Lattice of Self-sustained Oscillators	9
Stability and Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base	8
Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems	8
Kovalevskaya Exponents, Weak Painlevé Property and Integrability for Quasi-homogeneous Differential Systems	7
Embedded Solitons of the Generalized Nonlinear Schrödinger Equation with High Dispersion	6
Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface	6
Existence of a Smooth Hamiltonian Circle Action near Parabolic Orbits and Cuspidal Tori	6
From Poincaré Maps to Lagrangian Descriptors: The Case of the Valley Ridge Inflection Point Potential	6
On the Integrability of Circulatory Systems	5
The Motion of an Unbalanced Circular Disk in the Field of a Point Source	5
The Method of Averaging for the Kapitza – Whitney Pendulum	5
Parametric Stability of a Charged Pendulum with an Oscillating Suspension Point	5
Second-order Saddle Dynamics in Isomerization Reaction	5
Classical and Quantum Dynamical Manifestations of Index-$$2$$ Saddles: Concerted Versus Sequential Reaction Mechanisms	5
Ring Configurations of Point Vortices in Polar Atmospheres	4
Experimental Results Versus Computer Simulations of Noisy Poincaré Maps in an Intermittency Scenario	4

Dynamics of a Spherical Robot with Variable Moments of Inertia and a Displaced Center of Mass	4
Dynamics of a Circular Cylinder and Two Point Vortices in a Perfect Fluid	4
Conservation Laws for Solitons in Magneto-optic Waveguides with Anti-cubic and Generalized Anti-cubic Nonlinearities	4
Revisiting the Human and Nature Dynamics Model	4
Nondegenerate Hamiltonian Hopf Bifurcations in $$\omega:3:6$$ Resonance $$(\omega=1$$ or $$2)$$	4
The Role of Depth and Flatness of a Potential Energy Surface in Chemical Reaction Dynamics	4
Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex	4
Isochronicity in 1 DOF	4
Rational Solutions of Equations Associated with the Second Painlevé Equation	4
On the Stability of Potential Systems under the Action of Non-conservative Positional Forces	4
The Time Evolution of the Trajectories After the Selectivity in a Symmetric Potential Energy Surface with a Post-transition-state Bifurcation	4
Confinement Strategies in a Simple SIR Model	3
Uncertainty Quantification of Stochastic Epidemic SIR Models Using B-spline Polynomial Chaos	3
Billiard Ordered Games and Books	3
Three-dimensional Quasi-geostrophic Staggered Vortex Arrays	3
The Spherical Kapitza – Whitney Pendulum	3
Two Nonholonomic Chaotic Systems. Part I. On the Suslov Problem	3
On Topological Classification of Gradient-like Flows on an $$n$$-sphere in the Sense of Topological Conjugacy	3
V. I. Arnold’s “Global” KAM Theorem and Geometric Measure Estimates	3
Dynamics and Bifurcations on the Normally Hyperbolic Invariant Manifold of a Periodically Driven System with Rank-1 Saddle	3
A Particular Integrable Case in the Nonautonomous Problem of a Chaplygin Sphere Rolling on a Vibrating Plane	3
Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid	3
A Top on a Vibrating Base: New Integrable Problem of Nonholonomic Mechanics	3
Parametric Stability of a Pendulum with Variable Length in an Elliptic Orbit	3
Integrals of Circulatory Systems Which are Quadratic in Momenta	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
On the Nonlinear Stability of the Triangular Points in the Circular Spatial Restricted Three-body Problem	3
Classification of Perturbations of Diophantine $$\mathbb{Z}^{m}$$ Actions on Tori of Arbitrary Dimension	2
On Some Invariants of Birkhoff Billiards Under Conjugacy	2
Investigating the Stability and Accuracy of a Classical Mapping Variable Hamiltonian for Nonadiabatic Quantum Dynamics	2
Integrals of Motion in Time-periodic Hamiltonian Systems: The Case of the Mathieu Equation	2
Construction of the Morse – Bott Energy Function for Regular Topological Flows	2
Spherical and Planar Ball Bearings — Nonholonomic Systems with Invariant Measures	2
Lax Pairs and Rational Solutions of Similarity Reductions for Kupershmidt and Sawada – Kotera Hierarchies	2
Evolution of the Singularities of the Schwarz Function Corresponding to the Motion of a Vortex Patch in the Two-dimensional Euler Equations	1
Nonequilibrium Molecular Dynamics, Fractal Phase-Space Distributions, the Cantor Set, and Puzzles Involving Information Dimensions for Two Compressible Baker Maps	1
A Restricted Four-body Problem for the Figure-eight Choreography	1
Rheonomic Systems with Nonlinear Nonholonomic Constraints: The Voronec Equations	1
Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves	1
The Role of Tidal Forces in the Long-term Evolution of the Galilean System	1
Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint	1
On the Metric Stability and the Nekhoroshev Estimate of the Velocity of Arnold Diffusion in a Special Case of the Three-body Problem	1
Rolling Systems and Their Billiard Limits	1
A Study of Energy Band Rearrangement in Isolated Molecules by Means of the Dirac Oscillator Approximation	1
Circular Vortex Arrays in Generalised Euler’s and Quasi-geostrophic Dynamics	1
Escape Times Across the Golden Cantorus of the Standard Map	1
Two-body Problem on a Sphere in the Presence of a Uniform Magnetic Field	1
Darboux Inversions of the Kepler Problem	1
Spectral Radius Formula for a Parametric Family of Functional Operators	1

Geodesics in Jet Space	1
On $$SL(2,\mathbb{R})$$-Cocycles over Irrational Rotations with Secondary Collisions	1
Tangential Trapezoid Central Configurations	1
Expansiveness and Hyperbolicity in Convex Billiards	1
Polynomial Entropy and Polynomial Torsion for Fibered Systems	1
The Interaction of Two Unsteady Point Vortex Sources in a Deformation Field in 2D Incompressible Flows	1
On Some Aspects of the Dynamics of a Ball in a Rotating Surface of Revolution and of the Kasamawashi Art	1
Compactification of the Energy Surfaces for $$n$$ Bodies	1
The Harmonic Lagrange Top and the Confluent Heun Equation	1
Something Old, Something New: Three Point Vortices on the Plane	1
Spiral-Like Extremals near a Singular Surface in a Rocket Control Problem	1
Spatiotemporal Pattern Formation in a Ring of Chua’s Oscillators	1
Dynamics of Two Vortex Rings in a Bose – Einstein Condensate	1
Billiards Within Ellipsoids in the $$4$$-Dimensional Pseudo-Euclidean Spaces	1
Celebrating the 200th Anniversary of the Birth of Hermann Ludwig Ferdinand von Helmholtz (31.08.1821–08.09.1894)	1
Nonequilibrium Statistical Mechanics of Weakly Ergodic Systems	1
Spherical and Planar Ball Bearings — a Study of Integrable Cases	1
From $$2N$$ to Infinitely Many Escape Orbits	1
Strongly Reversible Flows on Connected Manifolds	1
Compactness and Index of Ordinary Central Configurations for the Curved $$N$$-Body Problem	1
Möbius Fluid Dynamics on the Unitary Groups	1
Integrable Systems Associated to the Filtrations of Lie Algebras	1