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 2020-05-01 to 2024-05-01.)

Article	Citations
Soliton Solutions of High-order Nonlinear Schrödinger Equations with Different Laws of Nonlinearities	64
Highly Dispersive Optical Solitons of an Equation with Arbitrary Refractive Index	49
A New $$(3+1)$$-dimensional Hirota Bilinear Equation: Its Bäcklund Transformation and Rational-type Solutions	34
Optical Dromions and Domain Walls with the Kundu – Mukherjee – Naskar Equation by the Laplace – Adomian Decomposition Scheme	13
Chaos in Bohmian Quantum Mechanics: A Short Review	11
Dynamics of the Tippe Top on a Vibrating Base	11
Quantifying the Transition from Spiral Waves to Spiral Wave Chimeras in a Lattice of Self-sustained Oscillators	10
The Tippedisk: a Tippetop Without Rotational Symmetry	9
Stability and Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base	9
Embedded Solitons of the Generalized Nonlinear Schrödinger Equation with High Dispersion	8
Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems	8
Dynamics of a Circular Cylinder and Two Point Vortices in a Perfect Fluid	7
From Poincaré Maps to Lagrangian Descriptors: The Case of the Valley Ridge Inflection Point Potential	7
Kovalevskaya Exponents, Weak Painlevé Property and Integrability for Quasi-homogeneous Differential Systems	7
Existence of a Smooth Hamiltonian Circle Action near Parabolic Orbits and Cuspidal Tori	6
Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface	6
On the Integrability of Circulatory Systems	6
Parametric Stability of a Charged Pendulum with an Oscillating Suspension Point	6
Conservation Laws for Solitons in Magneto-optic Waveguides with Anti-cubic and Generalized Anti-cubic Nonlinearities	6
Classical and Quantum Dynamical Manifestations of Index-$$2$$ Saddles: Concerted Versus Sequential Reaction Mechanisms	5
The Method of Averaging for the Kapitza – Whitney Pendulum	5
The Motion of an Unbalanced Circular Disk in the Field of a Point Source	5
Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid	5
Second-order Saddle Dynamics in Isomerization Reaction	5
Integrals of Circulatory Systems Which are Quadratic in Momenta	4

Experimental Results Versus Computer Simulations of Noisy Poincaré Maps in an Intermittency Scenario	4
The Spherical Kapitza – Whitney Pendulum	4
The Role of Depth and Flatness of a Potential Energy Surface in Chemical Reaction Dynamics	4
A Top on a Vibrating Base: New Integrable Problem of Nonholonomic Mechanics	4
Ring Configurations of Point Vortices in Polar Atmospheres	4
Nondegenerate Hamiltonian Hopf Bifurcations in $$\omega:3:6$$ Resonance $$(\omega=1$$ or $$2)$$	4
Dynamics of a Spherical Robot with Variable Moments of Inertia and a Displaced Center of Mass	4
Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex	4
Billiard Ordered Games and Books	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
Destruction of Cluster Structures in an Ensemble of Chaotic Maps with Noise-modulated Nonlocal Coupling	3
Two Nonholonomic Chaotic Systems. Part I. On the Suslov Problem	3
V. I. Arnold’s “Global” KAM Theorem and Geometric Measure Estimates	3
Three-dimensional Quasi-geostrophic Staggered Vortex Arrays	3
On Topological Classification of Gradient-like Flows on an $$n$$-sphere in the Sense of Topological Conjugacy	3
Parametric Stability of a Pendulum with Variable Length in an Elliptic Orbit	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
Confinement Strategies in a Simple SIR Model	3
Uncertainty Quantification of Stochastic Epidemic SIR Models Using B-spline Polynomial Chaos	3
On Singularly Perturbed Linear Cocycles over Irrational Rotations	3
Classification of Perturbations of Diophantine $$\mathbb{Z}^{m}$$ Actions on Tori of Arbitrary Dimension	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
From $$2N$$ to Infinitely Many Escape Orbits	2
Construction of the Morse – Bott Energy Function for Regular Topological Flows	2
Investigating the Stability and Accuracy of a Classical Mapping Variable Hamiltonian for Nonadiabatic Quantum Dynamics	2
Spectral Radius Formula for a Parametric Family of Functional Operators	2
Integrals of Motion in Time-periodic Hamiltonian Systems: The Case of the Mathieu Equation	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
Spatiotemporal Pattern Formation in a Ring of Chua’s Oscillators	2
On Some Invariants of Birkhoff Billiards Under Conjugacy	2
Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint	2