Regular & Chaotic Dynamics

Article	Citations
Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex	10
Chain-Recurrent $$C^{0}$$- $$\Omega$$-Blowup in $$C^{1}$$-Smooth Simplest Skew Products on Multidimensional Cells	9
Local and Nonlocal Cycles in a System with Delayed Feedback Having Compact Support	8
Attractive Invariant Circles à la Chenciner	7
Complex Arnol’d – Liouville Maps	7
Synchronization and Bistability of Two Uniaxial Spin-Transfer Oscillators with Field Coupling	7
On the Integrability of Circulatory Systems	7
Verification of Chaos in a Human Cardiovascular System Model	6
Synchronization by an External Periodic Force in Ensembles of Globally Coupled Phase Oscillators	6
Aubry Set on Infinite Cyclic Coverings	6
Continuations and Bifurcations of Relative Equilibria for the Positively Curved Three-Body Problem	5
Spiral-Like Extremals near a Singular Surface in a Rocket Control Problem	5
Closed Servoconstraints in Periodic Motion Planning for Underactuated Mechanical Systems	5
On Bifurcations of Symmetric Elliptic Orbits	5
A Particular Integrable Case in the Nonautonomous Problem of a Chaplygin Sphere Rolling on a Vibrating Plane	5
Maximal Tori in Infinite-Dimensional Hamiltonian Systems: a Renormalisation Group Approach	5
Circular Fleitas Scheme for Gradient-Like Flows on the Surface	5
Dynamics of Two Vortex Rings in a Bose – Einstein Condensate	5
Emergence of Strange Attractors from Singularities	5
Tides and Dumbbell Dynamics	5
Spatiotemporal Pattern Formation in a Ring of Chua’s Oscillators	5
Invariant Measures as Obstructions to Attractors in Dynamical Systems and Their Role in Nonholonomic Mechanics	4
Rolling of a Homogeneous Ball on a Moving Cylinder	4
Something Old, Something New: Three Point Vortices on the Plane	4
On a Quadratic Poisson Algebra and Integrable Lotka – Volterra Systems with Solutions in Terms of Lambert’s $$W$$ Function	4

On the Structure of Orbits from a Neighborhood of a Transversal Homoclinic Orbit to a Nonhyperbolic Fixed Point	4
Billiard Ordered Games and Books	4
Foreword	4
Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid	3
V-Shaped Action Functional with Delay	3
On Isolated Periodic Points of Diffeomorphisms with Expanding Attractors of Codimension 1	3
Polynomial Entropy and Polynomial Torsion for Fibered Systems	3
Reduction of Divisors and the Clebsch System	3
Asymptotics of Self-Oscillations in Chains of Systems of Nonlinear Equations	3
Roller Racer with Varying Gyrostatic Momentum: Acceleration Criterion and Strange Attractors	3
Scenarios for the Creation of Hyperchaotic Attractors with Three Positive Lyapunov Exponents	3
More on Superintegrable Models on Spaces of Constant Curvature	3
On the Linear Stability of a Vortex Pair Equilibrium on a Riemann Surface of Genus Zero	2
Erratum to: On Some Invariants of Birkhoff Billiards Under Conjugacy	2
Formal Stability, Stability for Most Initial Conditions and Diffusion in Analytic Systems of Differential Equations	2
Darboux Inversions of the Kepler Problem	2
Non-Integrable Sub-Riemannian Geodesic Flow on $$J^{2}(\mathbb{R}^{2},\mathbb{R})$$	2
Nineteen Fifty-Four: Kolmogorov’s New “Metrical Approach” to Hamiltonian Dynamics	2
Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface	2
On the Lambert Problem with Drag	2
Expansiveness and Hyperbolicity in Convex Billiards	2
On Elliptic Lower-Dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems with Small Parameters	2
Scientific Heritage of L. P. Shilnikov. Part II. Homoclinic Chaos	2
Scalar Polynomial Vector Fields in Real and Complex Time	2
A Top on a Vibrating Base: New Integrable Problem of Nonholonomic Mechanics	2
A Remark on the Onset of Resonance Overlap	2
Morse – Smale Inequalities and Chafee – Infante Attractors	2
On the Topological Structure of Manifolds Supporting Axiom A Systems	2
Analyzing the Motion of a Washer on a Rod	2
Remarks on Rigidity Properties of Conics	2
Numerical Evidence of Hyperbolic Dynamics and Coding of Solutions for Duffing-Type Equations with Periodic Coefficients	2
Ring Configurations of Point Vortices in Polar Atmospheres	2
Helical Contour Dynamics	2
Quasi-Periodic Parametric Perturbations of Two-Dimensional Hamiltonian Systems with Nonmonotonic Rotation	1
Resonances in the Stability Problem of a Point Vortex Quadrupole on a Plane	1
Geodesics in Jet Space	1
On the Regularity of Invariant Foliations	1
On the Birth of Discrete Lorenz Attractors Under Bifurcations of 3D Maps with Nontransversal Heteroclinic Cycles	1
Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid	1
Solvable Algebras and Integrable Systems	1
On 1:3 Resonance Under Reversible Perturbations of Conservative Cubic Hénon Maps	1
On Eisenhart’s Type Theorem for Sub-Riemannian Metrics on Step $$2$$ Distributions with $$\mathrm{ad}$$-Surjective Tanaka Symbols	1
On Morse – Smale 3-Diffeomorphisms with a Given Tuple of Sink Points Periods	1
Spherical and Planar Ball Bearings — Nonholonomic Systems with Invariant Measures	1
On Partially Hyperbolic Diffeomorphisms and Regular Denjoy Type Homeomorphisms	1
Persistence of Multiscale Degenerate Invariant Tori for Reversible Systems with Multiscale Degenerate Equilibrium Points	1
Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves	1
Celebrating the 200th Anniversary of the Birth of Hermann Ludwig Ferdinand von Helmholtz (31.08.1821–08.09.1894)	1
Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base Using Feedback	1
Dynamics of a Circular Cylinder and Two Point Vortices in a Perfect Fluid	1

Geodesics with Unbounded Speed on Fluctuating Surfaces	1
From $$2N$$ to Infinitely Many Escape Orbits	1
Compactification of the Energy Surfaces for $$n$$ Bodies	1
Side-Comparison for Transition Maps in Multi-Layer Canard Problems	1
Integrable Systems Associated to the Filtrations of Lie Algebras	1
Routes to Chaos in a Three-Dimensional Cancer Model	1
Biasymptotically Quasi-Periodic Solutions for Time-Dependent Hamiltonians	1
Isolated Diophantine Numbers	1
Topological Classification of Polar Flows on Four-Dimensional Manifolds	1
IN HONOR OF SERGEY GONCHENKO AND VLADIMIR BELYKH	1
Isochronicity in 1 DOF	1
Antisymmetric Diffeomorphisms and Bifurcations of a Double Conservative Hénon Map	1
Degenerate Resonances and Synchronization in Nearly Hamiltonian Systems Under Quasi-periodic Perturbations	1
On a Method for Verifying Hyperbolicity	0
The Time Evolution of the Trajectories After the Selectivity in a Symmetric Potential Energy Surface with a Post-transition-state Bifurcation	0
Rotations and Integrability	0
On the Stability of Discrete $$N+1$$ Vortices in a Two-Layer Rotating Fluid: The Cases $$N=4,5,6$$	0
ALEXEY BORISOV MEMORIAL VOLUME	0
The Harmonic Lagrange Top and the Confluent Heun Equation	0
Unifying the Hyperbolic and Spherical $$2$$-Body Problem with Biquaternions	0
Parametrised KAM Theory, an Overview	0
Synchronization and Chaos in Adaptive Kuramoto Networks with Higher-Order Interactions: A Review	0
Numerical Study of Discrete Lorenz-Like Attractors	0
Stability Analysis of Resonant Rotation of a Gyrostat in an Elliptic Orbit Under Third-and Fourth-Order Resonances	0
On the Interplay Between Vortices and Harmonic Flows: Hodge Decomposition of Euler’s Equations in 2d	0
The Motion of an Unbalanced Circular Disk in the Field of a Point Source	0
A Geometric Model for Pseudohyperbolic Shilnikov Attractors	0
In Honor of the 90th Anniversary of Leonid Pavlovich Shilnikov (1934–2011)	0
Classification of Perturbations of Diophantine $$\mathbb{Z}^{m}$$ Actions on Tori of Arbitrary Dimension	0
Twist Maps of the Annulus: An Abstract Point of View	0
Spherical and Planar Ball Bearings — a Study of Integrable Cases	0
Dynamical Properties of Continuous Semigroup Actions and Their Products	0
Singular Points in Generic Two-Parameter Families of Vector Fields on a 2-Manifold	0
On Families of Bowen – Series-Like Maps for Surface Groups	0
Classification of Axiom A Diffeomorphisms with Orientable Codimension One Expanding Attractors and Contracting Repellers	0
Brake Orbits Fill the N-Body Hill Region	0
Parametric Resonance of a Charged Pendulum with a Suspension Point Oscillating Between Two Vertical Charged Lines	0
Using Couplings to Suppress Chaos and Produce a Population Stabilisation Strategy	0
On Homeomorphisms of Three-Dimensional Manifolds with Pseudo-Anosov Attractors and Repellers	0
On the Uniqueness of Convex Central Configurations in the Planar $$4$$-Body Problem	0
A Note on the Weighted Yamabe Flow	0
Integral Formulas for the Painlevé-2 Transcendent	0
Numerical and Theoretical Studies on the Rational Standard Map at Moderate-to-Large Values of the Amplitude Parameter	0
Strongly Reversible Flows on Connected Manifolds	0
Persistence of Multiscale Degenerate Invariant Tori in Reversible Systems with Degenerate Frequency Mapping	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
Circular Vortex Arrays in Generalised Euler’s and Quasi-geostrophic Dynamics	0
Mechanism of Selectivity in the Coupled FitzHugh – Nagumo Neurons	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
Dynamics of Slow-Fast Hamiltonian Systems: The Saddle–Focus Case	0
Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint	0
Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions	0
On the Topology of the Atmosphere Advected by a Periodic Array of Axisymmetric Thin-cored Vortex Rings	0
Chaos in Coupled Heteroclinic Cycles Between Weak Chimeras	0
Quasi-Periodicity at Transition from Spiking to Bursting in the Pernarowski Model of Pancreatic Beta Cells	0
On the Existence of Expanding Attractors with Different Dimensions	0
Integrable Mechanical Billiards in Higher-Dimensional Space Forms	0
Hyperbolic Attractors Which are Anosov Tori	0
Linear Stability of an Elliptic Relative Equilibrium in the Spatial $$n$$-Body Problem via Index Theory	0
On Phase at a Resonance in Slow-Fast Hamiltonian Systems	0
Embedded Solitons of the Generalized Nonlinear Schrödinger Equation with High Dispersion	0
Three-Body Relative Equilibria on $$\mathbb{S}^{2}$$	0
Quasiperiodic Version of Gordon’s Theorem	0
Escape Times Across the Golden Cantorus of the Standard Map	0
Three-dimensional Quasi-geostrophic Staggered Vortex Arrays	0
On $$SL(2,\mathbb{R})$$-Cocycles over Irrational Rotations with Secondary Collisions	0
Genericity of Homeomorphisms with Full Mean Hausdorff Dimension	0
Normalization Flow	0
Sensitivity and Chaoticity of Some Classes of Semigroup Actions	0
Lagrangian Manifolds in the Theory of Wave Beams and Solutions of the Helmholtz Equation	0
Integrals of Circulatory Systems Which are Quadratic in Momenta	0
Loops of Infinite Order and Toric Foliations	0
Interaction of an Upwelling Front with External Vortices: Impact on Cross-shore Particle Exchange	0
Billiards Within Ellipsoids in the $$4$$-Dimensional Pseudo-Euclidean Spaces	0
Dynamics of a Pendulum in a Rarefied Flow	0
Components of Stable Isotopy Connectedness of Morse – Smale Diffeomorphisms	0
Non-Quasi-Periodic Normal Form Theory	0
On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem	0
The Siegel – Bruno Linearization Theorem	0
Normal Forms for Hamiltonian Systems in Some Nilpotent Cases	0

Evolution of the Singularities of the Schwarz Function Corresponding to the Motion of a Vortex Patch in the Two-dimensional Euler Equations	0
On Some Aspects of the Dynamics of a Ball in a Rotating Surface of Revolution and of the Kasamawashi Art	0
Higher Symmetries of Lattices in 3D	0
The Influence of a Parameter that Controls the Asymmetry of a Potential Energy Surface with an Entrance Channel and Two Potential Wells	0
Universal Transient Dynamics in Oscillatory Network Models of Epileptic Seizures	0
The Role of Tidal Forces in the Long-term Evolution of the Galilean System	0
The Dynamical Core of a Homoclinic Orbit	0
3D Orbital Architecture of Exoplanetary Systems: KAM-Stability Analysis	0
Non-Resonant Conditions for the Klein – Gordon Equation on the Circle	0
Total Collision with Slow Convergence to a Degenerate Central Configuration	0
The Interaction of Two Unsteady Point Vortex Sources in a Deformation Field in 2D Incompressible Flows	0
Exact Solutions to the Beltrami Equation with a Non-constant $$\alpha({\bf x})$$	0
Switching Activity in an Ensemble of Excitable Neurons	0
Phase Portraits of the Equation $$\ddot{x}+ax\dot{x}+bx^{3}=0$$	0
On Smoothness of Invariant Foliations Near a Homoclinic Bifurcation Creating Lorenz-Like Attractors	0
Möbius Fluid Dynamics on the Unitary Groups	0
Existence of a Smooth Hamiltonian Circle Action near Parabolic Orbits and Cuspidal Tori	0
The Spherical Kapitza – Whitney Pendulum	0
The Centroid-Deformation Decomposition for Buoyant Vortex Patch Motion	0
A Simple Proof of Gevrey Estimates for Expansions of Quasi-Periodic Orbits: Dissipative Models and Lower-Dimensional Tori	0
Twin Heteroclinic Connections of Reversible Systems	0
To Alain Chenciner On his 80th Birthday	0
Nonlinear Dynamics of a Roller Bicycle	0
KAM for Vortex Patches	0
Erratum to: Isolated Diophantine Numbers	0
Distance Estimates for Action-Minimizing Solutions of the $$N$$-Body Problem	0
Destruction of Cluster Structures in an Ensemble of Chaotic Maps with Noise-modulated Nonlocal Coupling	0
On Some Invariants of Birkhoff Billiards Under Conjugacy	0
Dynamics of an Elliptic Foil with an Attached Vortex in an Ideal Fluid: The Integrable Case	0
Affine Generalizations of the Nonholonomic Problem of a Convex Body Rolling without Slipping on the Plane	0
$$C^{1}$$-Smooth $$\Omega$$-Stable Skew Products and Completely Geometrically Integrable Self-Maps of 3D-Tori, I: $$\Omega$$-Stability	0
Extremal Black Holes as Relativistic Systems with Kepler Dynamics	0
Chaos and Hyperchaos in Two Coupled Identical Hindmarsh – Rose Systems	0
On the Stability of Exact Subharmonic Solutions of the Duffing Equation	0
Smale Regular and Chaotic A-Homeomorphisms and A-Diffeomorphisms	0
Slow-Fast Systems with an Equilibrium Near the Folded Slow Manifold	0