Regular & Chaotic Dynamics

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
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
Dynamics of a Circular Cylinder and Two Point Vortices in a Perfect Fluid	7
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
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
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
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
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
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
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
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
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
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
On $$SL(2,\mathbb{R})$$-Cocycles over Irrational Rotations with Secondary Collisions	1
Tangential Trapezoid Central Configurations	1
Rheonomic Systems with Nonlinear Nonholonomic Constraints: The Voronec Equations	1
Polynomial Entropy and Polynomial Torsion for Fibered Systems	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
Smale Regular and Chaotic A-Homeomorphisms and A-Diffeomorphisms	1
A Study of Energy Band Rearrangement in Isolated Molecules by Means of the Dirac Oscillator Approximation	1
Darboux Inversions of the Kepler Problem	1
Compactness and Index of Ordinary Central Configurations for the Curved $$N$$-Body Problem	1
On the Topological Structure of Manifolds Supporting Axiom A Systems	1
Möbius Fluid Dynamics on the Unitary Groups	1
Billiards Within Ellipsoids in the $$4$$-Dimensional Pseudo-Euclidean Spaces	1
Expansiveness and Hyperbolicity in Convex Billiards	1

Nonequilibrium Statistical Mechanics of Weakly Ergodic Systems	1
Spherical and Planar Ball Bearings — a Study of Integrable Cases	1
Rolling Systems and Their Billiard Limits	1
On the Linear Stability of a Vortex Pair Equilibrium on a Riemann Surface of Genus Zero	1
Two-body Problem on a Sphere in the Presence of a Uniform Magnetic Field	1
Roller Racer with Varying Gyrostatic Momentum: Acceleration Criterion and Strange Attractors	1
The Interaction of Two Unsteady Point Vortex Sources in a Deformation Field in 2D Incompressible Flows	1
Nonequilibrium Molecular Dynamics, Fractal Phase-Space Distributions, the Cantor Set, and Puzzles Involving Information Dimensions for Two Compressible Baker Maps	1
Circular Vortex Arrays in Generalised Euler’s and Quasi-geostrophic Dynamics	1
Dynamics of Two Vortex Rings in a Bose – Einstein Condensate	1
Numerical Study of Discrete Lorenz-Like Attractors	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
Celebrating the 200th Anniversary of the Birth of Hermann Ludwig Ferdinand von Helmholtz (31.08.1821–08.09.1894)	1
On Some Aspects of the Dynamics of a Ball in a Rotating Surface of Revolution and of the Kasamawashi Art	1
Escape Times Across the Golden Cantorus of the Standard Map	1
Integrable Systems Associated to the Filtrations of Lie Algebras	1
Evolution of the Singularities of the Schwarz Function Corresponding to the Motion of a Vortex Patch in the Two-dimensional Euler Equations	1
Compactification of the Energy Surfaces for $$n$$ Bodies	1
Strongly Reversible Flows on Connected Manifolds	1
A Restricted Four-body Problem for the Figure-eight Choreography	1
The Harmonic Lagrange Top and the Confluent Heun Equation	1
Geodesics in Jet Space	1
IN HONOR OF SERGEY GONCHENKO AND VLADIMIR BELYKH	0
V-Shaped Action Functional with Delay	0
To Alain Chenciner On his 80th Birthday	0
Attractive Invariant Circles à la Chenciner	0
On Partially Hyperbolic Diffeomorphisms and Regular Denjoy Type Homeomorphisms	0
Aubry Set on Infinite Cyclic Coverings	0
Reduction of Divisors and the Clebsch System	0
On Homeomorphisms of Three-Dimensional Manifolds with Pseudo-Anosov Attractors and Repellers	0
Non-Quasi-Periodic Normal Form Theory	0
Chaos in Coupled Heteroclinic Cycles Between Weak Chimeras	0
In Memory of Professor Alexey V. Borisov 27.03.1965–24.01.2021	0
Recruitment Effects on the Evolution of Epidemics in a Simple SIR Model	0
Classification of Axiom A Diffeomorphisms with Orientable Codimension One Expanding Attractors and Contracting Repellers	0
Autotransforms for Some Differential Equations and Their Physical Applications	0
On the Uniqueness of Convex Central Configurations in the Planar $$4$$-Body Problem	0
Loops of Infinite Order and Toric Foliations	0
Helical Contour Dynamics	0
On Families of Bowen – Series-Like Maps for Surface Groups	0
A Simple Proof of Gevrey Estimates for Expansions of Quasi-Periodic Orbits: Dissipative Models and Lower-Dimensional Tori	0
Erratum to: On Some Invariants of Birkhoff Billiards Under Conjugacy	0
Stability of the Relative Equilibria in the Two-body Problem on the Sphere	0
Distance Estimates for Action-Minimizing Solutions of the $$N$$-Body Problem	0
Biasymptotically Quasi-Periodic Solutions for Time-Dependent Hamiltonians	0
Two Nonholonomic Chaotic Systems. Part II. On the Rolling of a Nonholonomic Bundle of Two Bodies	0
The Eighth International Conference GEOMETRY, DYNAMICS, INTEGRABLE SYSTEMS — GDIS 2022 Dedicated to the Memory of Alexey V. Borisov June 5–11, 2022, Zlatibor, Serbia	0
Synchronization and Bistability of Two Uniaxial Spin-Transfer Oscillators with Field Coupling	0
The Dynamical Core of a Homoclinic Orbit	0
Slow-Fast Systems with an Equilibrium Near the Folded Slow Manifold	0
Sections of Hamiltonian Systems	0
On the Birth of Discrete Lorenz Attractors Under Bifurcations of 3D Maps with Nontransversal Heteroclinic Cycles	0
On the Interplay Between Vortices and Harmonic Flows: Hodge Decomposition of Euler’s Equations in 2d	0
On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem	0
Quasi-Periodicity at Transition from Spiking to Bursting in the Pernarowski Model of Pancreatic Beta Cells	0
The Siegel – Bruno Linearization Theorem	0
Hyperbolic Attractors Which are Anosov Tori	0
Chaos and Hyperchaos in Two Coupled Identical Hindmarsh – Rose Systems	0
Quasiperiodic Version of Gordon’s Theorem	0
Three-Body Relative Equilibria on $$\mathbb{S}^{2}$$	0
Analyzing the Motion of a Washer on a Rod	0
Stability Analysis of Resonant Rotation of a Gyrostat in an Elliptic Orbit Under Third-and Fourth-Order Resonances	0
Brake Orbits Fill the N-Body Hill Region	0
Non-Integrable Sub-Riemannian Geodesic Flow on $$J^{2}(\mathbb{R}^{2},\mathbb{R})$$	0
More on Superintegrable Models on Spaces of Constant Curvature	0
Using Couplings to Suppress Chaos and Produce a Population Stabilisation Strategy	0
Genericity of Homeomorphisms with Full Mean Hausdorff Dimension	0
Numerical Evidence of Hyperbolic Dynamics and Coding of Solutions for Duffing-Type Equations with Periodic Coefficients	0
Integrable Mechanical Billiards in Higher-Dimensional Space Forms	0
Shape-invariant Neighborhoods of Nonsaddle Sets	0
Nonintegrability of the Reduced Planar Three-body Problem with Generalized Force	0
Sensitivity and Chaoticity of Some Classes of Semigroup Actions	0
Side-Comparison for Transition Maps in Multi-Layer Canard Problems	0
Components of Stable Isotopy Connectedness of Morse – Smale Diffeomorphisms	0
The Centroid-Deformation Decomposition for Buoyant Vortex Patch Motion	0
On the Lambert Problem with Drag	0
Circular Fleitas Scheme for Gradient-Like Flows on the Surface	0
Persistence of Multiscale Degenerate Invariant Tori for Reversible Systems with Multiscale Degenerate Equilibrium Points	0
On the Isolation/Nonisolation of a Cosymmetric Equilibrium and Bifurcations in its Neighborhood	0

Emergence of Strange Attractors from Singularities	0
Extremal Black Holes as Relativistic Systems with Kepler Dynamics	0
Asymptotics of Self-Oscillations in Chains of Systems of Nonlinear Equations	0
Morse – Smale Inequalities and Chafee – Infante Attractors	0
On the Convex Central Configurations of the Symmetric (ℓ + 2)-body Problem	0
Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions	0
Dynamics of a Pendulum in a Rarefied Flow	0
Resonances in the Stability Problem of a Point Vortex Quadrupole on a Plane	0
On the Topology of the Atmosphere Advected by a Periodic Array of Axisymmetric Thin-cored Vortex Rings	0
Total Collision with Slow Convergence to a Degenerate Central Configuration	0
Tides and Dumbbell Dynamics	0
On the Regularity of Invariant Foliations	0
Linear Stability of an Elliptic Relative Equilibrium in the Spatial $$n$$-Body Problem via Index Theory	0
On Bifurcations of Symmetric Elliptic Orbits	0
Complex Arnol’d – Liouville Maps	0
Degenerate Resonances and Synchronization in Nearly Hamiltonian Systems Under Quasi-periodic Perturbations	0
Twist Maps of the Annulus: An Abstract Point of View	0
Unifying the Hyperbolic and Spherical $$2$$-Body Problem with Biquaternions	0
Normal Forms for Hamiltonian Systems in Some Nilpotent Cases	0
Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid	0
Quasi-Periodic Parametric Perturbations of Two-Dimensional Hamiltonian Systems with Nonmonotonic Rotation	0
Exact Solutions to the Beltrami Equation with a Non-constant $$\alpha({\bf x})$$	0
Foreword	0
Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base Using Feedback	0
Generic Properties of Mañé’s Set of Exact Magnetic Lagrangians	0
Parametric Resonance of a Charged Pendulum with a Suspension Point Oscillating Between Two Vertical Charged Lines	0
The Influence of a Parameter that Controls the Asymmetry of a Potential Energy Surface with an Entrance Channel and Two Potential Wells	0
Formal Stability, Stability for Most Initial Conditions and Diffusion in Analytic Systems of Differential Equations	0
On the Method of Introduction of Local Variables in a Neighborhood of Periodic Solution of a Hamiltonian System with Two Degrees of Freedom	0
Normalization Flow	0
Remarks on Rigidity Properties of Conics	0
Interaction of an Upwelling Front with External Vortices: Impact on Cross-shore Particle Exchange	0
A Remark on the Onset of Resonance Overlap	0
A Note on the Weighted Yamabe Flow	0
Antisymmetric Diffeomorphisms and Bifurcations of a Double Conservative Hénon Map	0
Numerical and Theoretical Studies on the Rational Standard Map at Moderate-to-Large Values of the Amplitude Parameter	0
Stability of a One-degree-of-freedom Canonical System in the Case of Zero Quadratic and Cubic Part of a Hamiltonian	0
Universal Transient Dynamics in Oscillatory Network Models of Epileptic Seizures	0
On the Stability of Exact Subharmonic Solutions of the Duffing Equation	0
Bernoulli Property for Some Hyperbolic Billiards	0
ALEXEY BORISOV MEMORIAL VOLUME	0
On Eisenhart’s Type Theorem for Sub-Riemannian Metrics on Step $$2$$ Distributions with $$\mathrm{ad}$$-Surjective Tanaka Symbols	0
On Ergodicity for Multidimensional Harmonic Oscillator Systems with Nosé – Hoover-type Thermostat	0
Twin Heteroclinic Connections of Reversible Systems	0
On Phase at a Resonance in Slow-Fast Hamiltonian Systems	0
On 1:3 Resonance Under Reversible Perturbations of Conservative Cubic Hénon Maps	0