Geodesic

Sommaire du Fascicule no. 1

Analytical Properties and Solutions of the FitzHugh – Rinzel Model
p. 3-12
On Integrability of the FitzHugh – Rinzel Model
p. 13-19
Excitation of Large-Amplitude Localized Nonlinear Waves by the Interaction of Kinks of the Sine-Gordon Equation with Attracting Impurity
p. 21-34
On the Nonlinear Dynamics of Turbulent Thermals in the Shear Flow
p. 35-39
The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque
p. 41-57
Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate
p. 59-66
A Special Case of Rolling Tire Vibrations
p. 67-78
Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation
p. 79-85
On Poisson’s Theorem of Building First Integrals for Ordinary Differential Systems
p. 87-96
On the Smith Reduction Theorem for Almost Periodic ODEs Satisfying the Squeezing Property
p. 97-108

Sommaire du Fascicule no. 2

Generation of Robust Hyperbolic Chaos in CNN
p. 109-124
A Spherical Particle Settling Towards a Corrugated Wall
p. 125-134
Saturation-Free Numerical Scheme for Computing the Flow Past a Lattice of Airfoils with a Sharp Edge
p. 135-143
Nonlinear Regenerative Dynamics Analysis of the Multicutter Turning Process
p. 145-158
On the Motion of the Chaplygin Sleigh on a Horizontal Plane with Dry Friction at Three Points of Contact
p. 159-169
The Rolling of a Homogeneous Ball with Slipping on a Horizontal Rotating Plane
p. 171-178
On the Structure of Zonal Spherical Functions on Symmetric Spaces of Negative Curvature of Type AII
p. 179-186
Global Dynamics of Systems Close to Hamiltonian Ones Under Nonconservative Quasi-periodic Perturbation
p. 187-198
On a Class of Isotopic Connectivity of Gradient-like Maps of the 2-sphere with Saddles of Negative Orientation Type
p. 199-211

Sommaire du Fascicule no. 3

Similarity and Analogousness in Dynamical Systems and Their Characteristic Features
p. 213-220
Capillary Hydraulic Jump in a Viscous Jet
p. 221-231
The Study of Wave Propagation in a Shell with Soft Nonlinearity and with a Viscous Liquid Inside
p. 233-250
Dynamical Model for the Anomalous Transport of a Passive Scalar in a Reverse Barotropic Jet Flow
p. 251-260
Advective Flow of a Rotating Fluid Layer in a Vibrational Field
p. 261-270
Nonlinear Gradient Flow of a Vertical Vortex Fluid in a Thin Layer
p. 271-283
Precessional Motion of a Rigid Body Acted upon by Three Irreducible Fields
p. 285-292
A Study of Nonholonomic Deformations of Nonlocal Integrable Systems Belonging to the Nonlinear Schrödinger Family
p. 293-307
Asymptotic Stabilizability of Underactuated Hamiltonian Systems With Two Degrees of Freedom
p. 309-326
Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations
p. 327-342
A Particle on a Moving Plane with Coulomb Friction
p. 343-349
Vibrational Stability of Periodic Solutions of the Liouville Equations
p. 351-363
Modeling the Learning of a Spiking Neural Network with Synaptic Delays
p. 365-380
Conditions for Phase Locking and Dephasing of Autoresonant Pumping
p. 381-394

Sommaire du Fascicule no. 4

The International Conference “Scientific Heritage of Sergey A. Chaplygin: nonholonomic mechanics, vortex structures and hydrodynamics” Cheboksary, June 2–6, 2019
p. 395-396
Elliptical Billiards in the Minkowski Plane and Extremal Polynomials
p. 397-407
Hidden Maxwell Stratum in Euler's Elastic Problem
p. 409-414
On Orbital Stability of Pendulum-like Satellite Rotations at the Boundaries of Stability Regions
p. 415-428
Complex Dynamics Induced by Asymmetry in Coupled Laser Systems
p. 429-455
Two Integrable Cases of a Ball Rolling over a Sphere in $\mathbb{R}^n$
p. 457-475
Compliant Control for Walking Robots with the Use of a Virtual Spring-Damper System
p. 477-485
Experimental Investigations of the Control Algorithm of a Mobile Manipulation Robot
p. 487-495
The Dynamics of a Spherical Robot of Combined Type by Periodic Control Actions
p. 497-504
Nonlinear Stability Analysis of Relative Equilibria of a Solid Carrying a Movable Point Mass in the Central Gravitational Field
p. 505-512
Isoperimetric Inequalities for Moments of Inertia and Stability of Stationary Motions of a Flexible Thread
p. 513-523
Semi-Invariant Form of Equilibrium Stability Criteria for Systems with One Cosymmetry
p. 525-531
On the Stability of Thomson's Vortex $N$-gon and a Vortex Tripole/Quadrupole in Geostrophic Models of Bessel Vortices and in a Two-Layer Rotating Fluid: a Review
p. 533-542
Mathematical Modeling of Plasma Dynamics for Processes in Capillary Discharges
p. 543-550
Complex Dynamics in Generalizations of the Chaplygin Sleigh
p. 551-559
Sub-Riemannian Geometry in Image Processing and Modeling of the Human Visual System
p. 561-568
Symmetric Extremal Trajectories in Left-Invariant Optimal Control Problems
p. 569-575
Symmetries and Parameterization of Abnormal Extremals in the Sub-Riemannian Problem with the Growth Vector (2, 3, 5, 8)
p. 577-585
Some Trajectories of a Point in the Potential of a Fixed Ring and Center
p. 587-592
Bifurcation Analysis of Periodic Motions Originating from Regular Precessions of a Dynamically Symmetric Satellite
p. 593-609
Inverse Dynamics-Based Motion Control of a Fluid-Actuated Rolling Robot
p. 611-622
An Investigation of Motion of a Crawling Robot with Supports with Controllable Friction
p. 623-632