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\(C^{1}\)-Smooth \(\Omega\)-Stable Skew Products and Completely Geometrically Integrable Self-Maps of 3D-Tori, I: \(\Omega\)-Stability Lyudmila S. Efremova OriginalPaper 06 May 2024 Pages: 491 - 514
Genericity of Homeomorphisms with Full Mean Hausdorff Dimension Jeovanny Muentes Acevedo OriginalPaper 18 April 2024 Pages: 474 - 490
Numerical Evidence of Hyperbolic Dynamics and Coding of Solutions for Duffing-Type Equations with Periodic Coefficients Mikhail E. LebedevGeorgy L. Alfimov OriginalPaper 18 April 2024 Pages: 451 - 473
Integrable Mechanical Billiards in Higher-Dimensional Space Forms Airi TakeuchiLei Zhao OriginalPaper 18 April 2024 Pages: 405 - 434
Biasymptotically Quasi-Periodic Solutions for Time-Dependent Hamiltonians Donato Scarcella OriginalPaper 18 April 2024
Extremal Black Holes as Relativistic Systems with Kepler Dynamics Dijs de NeelingDiederik RoestHolger Waalkens OriginalPaper 08 April 2024 Pages: 344 - 368
On Eisenhart’s Type Theorem for Sub-Riemannian Metrics on Step \(2\) Distributions with \(\mathrm{ad}\)-Surjective Tanaka Symbols Zaifeng LinIgor Zelenko OriginalPaper 08 April 2024 Pages: 304 - 343
On the Interplay Between Vortices and Harmonic Flows: Hodge Decomposition of Euler’s Equations in 2d Clodoaldo Grotta-RagazzoBjörn GustafssonJair Koiller OriginalPaper 08 April 2024 Pages: 241 - 303
Asymptotics of Self-Oscillations in Chains of Systems of Nonlinear Equations Sergey A. Kashchenko OriginalPaper 11 March 2024 Pages: 218 - 240
Chaos in Coupled Heteroclinic Cycles Between Weak Chimeras Artyom E. EmelinEvgeny A. GrinesTatiana A. Levanova OriginalPaper 11 March 2024 Pages: 205 - 217
Universal Transient Dynamics in Oscillatory Network Models of Epileptic Seizures Anton A. KapustnikovMarina V. SysoevaIlya V. Sysoev OriginalPaper 11 March 2024 Pages: 190 - 204
Sensitivity and Chaoticity of Some Classes of Semigroup Actions Nina I. Zhukova OriginalPaper 11 March 2024 Pages: 174 - 189
On Homeomorphisms of Three-Dimensional Manifolds with Pseudo-Anosov Attractors and Repellers Vyacheslav Z. GrinesOlga V. PochinkaEkaterina E. Chilina OriginalPaper 11 March 2024 Pages: 156 - 173
Classification of Axiom A Diffeomorphisms with Orientable Codimension One Expanding Attractors and Contracting Repellers Vyacheslav Z. GrinesVladislav S. MedvedevEvgeny V. Zhuzhoma OriginalPaper 11 March 2024 Pages: 143 - 155
Dynamics of a Pendulum in a Rarefied Flow Alexey DavydovAlexander Plakhov OriginalPaper 11 March 2024 Pages: 134 - 142
Quasi-Periodicity at Transition from Spiking to Bursting in the Pernarowski Model of Pancreatic Beta Cells Haniyeh FallahAndrey L. Shilnikov OriginalPaper 11 March 2024 Pages: 100 - 119
Numerical Study of Discrete Lorenz-Like Attractors Alexey KazakovAinoa MurilloKirill Zaichikov OriginalPaper 11 March 2024 Pages: 78 - 99
Quasi-Periodic Parametric Perturbations of Two-Dimensional Hamiltonian Systems with Nonmonotonic Rotation Kirill E. MorozovAlbert D. Morozov OriginalPaper 11 March 2024 Pages: 65 - 77
Twin Heteroclinic Connections of Reversible Systems Nikolay E. KulaginLev M. LermanKonstantin N. Trifonov OriginalPaper 11 March 2024 Pages: 40 - 64
On Bifurcations of Symmetric Elliptic Orbits Marina S. Gonchenko OriginalPaper 11 March 2024 Pages: 25 - 39
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Chaos and Hyperchaos in Two Coupled Identical Hindmarsh – Rose Systems Nataliya V. StankevichAndrey A. BobrovskiiNatalya A. Shchegoleva OriginalPaper 19 December 2023 Pages: 120 - 133
Slow-Fast Systems with an Equilibrium Near the Folded Slow Manifold Natalia G. GelfreikhAlexey V. Ivanov OriginalPaper 19 December 2023 Pages: 376 - 403
Hyperbolic Attractors Which are Anosov Tori Marina K. BarinovaVyacheslav Z. GrinesEvgeny V. Zhuzhoma OriginalPaper 19 December 2023 Pages: 369 - 375
Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base Using Feedback Alexander A. KilinTatiana B. IvanovaElena N. Pivovarova OriginalPaper Open access 07 December 2023 Pages: 888 - 905
On the Method of Introduction of Local Variables in a Neighborhood of Periodic Solution of a Hamiltonian System with Two Degrees of Freedom Boris S. Bardin OriginalPaper 07 December 2023 Pages: 878 - 887
Circular Fleitas Scheme for Gradient-Like Flows on the Surface Vladislav D. GalkinElena V. NozdrinovaOlga V. Pochinka OriginalPaper 07 December 2023 Pages: 865 - 877
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Non-Integrable Sub-Riemannian Geodesic Flow on \(J^{2}(\mathbb{R}^{2},\mathbb{R})\) Alejandro Bravo-Doddoli OriginalPaper 07 December 2023 Pages: 835 - 840
Unifying the Hyperbolic and Spherical \(2\)-Body Problem with Biquaternions Philip Arathoon OriginalPaper 07 December 2023 Pages: 822 - 834
Side-Comparison for Transition Maps in Multi-Layer Canard Problems Peter De MaesschalckFreddy DumortierRobert Roussarie OriginalPaper 20 October 2023 Pages: 763 - 780
The Siegel – Bruno Linearization Theorem Patrick Bernard OriginalPaper 20 October 2023 Pages: 756 - 762
Linear Stability of an Elliptic Relative Equilibrium in the Spatial \(n\)-Body Problem via Index Theory Xijun HuYuwei OuXiuting Tang OriginalPaper 20 October 2023 Pages: 731 - 755
A Simple Proof of Gevrey Estimates for Expansions of Quasi-Periodic Orbits: Dissipative Models and Lower-Dimensional Tori Adrián P. BustamanteRafael de la Llave OriginalPaper 20 October 2023 Pages: 707 - 730
Three-Body Relative Equilibria on \(\mathbb{S}^{2}\) Toshiaki FujiwaraErnesto Pérez-Chavela OriginalPaper 20 October 2023 Pages: 690 - 706
On Families of Bowen – Series-Like Maps for Surface Groups Lluís AlsedàDavid JuherFrancesc Mañosas OriginalPaper 20 October 2023 Pages: 659 - 667
Compactification of the Energy Surfaces for \(n\) Bodies Andreas KnaufRichard Montgomery OriginalPaper 20 October 2023 Pages: 628 - 658
Polynomial Entropy and Polynomial Torsion for Fibered Systems Flavien Grycan-GérardJean-Pierre Marco OriginalPaper Open access 20 October 2023 Pages: 613 - 627
On Phase at a Resonance in Slow-Fast Hamiltonian Systems Yuyang GaoAnatoly NeishtadtAlexey Okunev OriginalPaper 20 October 2023 Pages: 585 - 612
A Remark on the Onset of Resonance Overlap Jacques FejozMarcel Guardia OriginalPaper 20 October 2023 Pages: 578 - 584
Distance Estimates for Action-Minimizing Solutions of the \(N\)-Body Problem Kuo-Chang ChenBo-Yu Pan OriginalPaper 20 October 2023 Pages: 561 - 577
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