Geodesic

Sommaire du Fascicule no. 1

On the Stability of the Orbit and the Invariant Set of Thomson’s Vortex Polygon in a Two-Fluid Plasma
p. 3-11
Some Lattice Models with Hyperbolic Chaotic Attractors
p. 13-21
Dynamics of a System of Two Simple Self-Excited Oscillators with Delayed Step-by-Step Feedback
p. 23-43
Estimation of Instabilities under the Joint Action of Laser Radiation and a Magnetic Field on a Plasma
p. 45-50
Mechanical Systems with Hyperbolic Chaotic Attractors Based on Froude Pendulums
p. 51-58
On the Dynamics of a Rigid Body in the Hess Case at High-Frequency Vibrations of a Suspension Point
p. 59-84
MEMS Sensor of Force
p. 85-92
Application of Genetic Engineering Techniques in the Development of Complex Electromechanical Structures for Marine Robotics
p. 93-103
An Approach to Moving over Obstacles for a Wheeled Jumping Robot
p. 105-114
On Global Trajectory Tracking Control for an Omnidirectional Mobile Robot with a Displaced Center of Mass
p. 115-131
The Extended Rigid Body and the Pendulum Revisited
p. 133-159
Verifying the Performance Characteristics of the (micro) Robotic Devices
p. 161-172
Asymptotic Behavior of Solutions of a System of KdV Type Associated with the Schrödinger Operator with an Energy-Dependent Potential
p. 173-179
Intrinsic Shape Property of Global Attractors in Metrizable Spaces
p. 181-194
Asymptotics of Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space
p. 195-208

Sommaire du Fascicule no. 2

New Families of Integrable Two-Dimensional Systems with Quartic Second Integrals
p. 211-242
Features of the Synchronization of Spiral Wave Structures in Interacting Lattices of Nonlocally Coupled Maps
p. 243-257
Inertial Characteristics of Higher Orders and Dynamics in a Proximity of a Small Celestial Body
p. 259-273
Modeling of Nonlinear Waves in Two Coaxial Physically Nonlinear Shells with a Viscous Incompressible Fluid Between Them, Taking into Account the Inertia of its Motion
p. 275-290
Research on the Dynamics of an Omnidirectional Platform Taking into Account Real Design of Mecanum Wheels (as Exemplified by KUKA youBot)
p. 291-307
Mathematical Study of the Small Oscillations of a Pendulum Completely Filled with a Viscoelastic Fluid
p. 309-324
Development of a Mathematical Model and the Numerical Solution Method in a Combined Impact Scheme for MIF Target
p. 325-341
Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces
p. 343-353
Optimal Bang-Bang Trajectories in Sub-Finsler Problems on the Engel Group
p. 355-367
On Quasi-Periodic Parametric Perturbations of Hamiltonian Systems
p. 369-378
Estimation of the Accuracy of the Averaging Method for Systems with Multifrequency Perturbations
p. 379-394

Sommaire du Fascicule no. 3

Inverse Spectral Problems for Second-Order
p. 397-419
Control of an Inverted Wheeled Pendulum
p. 421-436
Analysis of Special Cases
p. 437-451
Dynamics of the Chaplygin Ball with Variable Parameters
p. 453-462
Comparison Between the Exact Solutions
p. 463-477
Modeling of Dynamic Systems with Interval
p. 479-490
Complex Envelope Variable Approximation
p. 491-515
Estimates of Solutions During Motion
p. 517-525
In memory of Professor Leonid I. Manevitch
p. 527-528

Sommaire du Fascicule no. 4

Another Special Case of Vibrations of a Rolling Tire
p. 531-542
Phase Transition to Quadrupolar Vortices in a Spherical Model of the Energy-Enstrophy Theory — Exact Solution
p. 543-555
Hamiltonian Thermodynamics
p. 557-580
On a Method of Introducing Local Coordinates in the Problem of the Orbital Stability of Planar Periodic Motions of a Rigid Body
p. 581-594
The Topological Classification of Diffeomorphisms of the Two-Dimensional Torus with an Orientable Attractor
p. 595-606
On Nonlinear Oscillations and Stability of Coupled Pendulums in the Case of a Multiple Resonance
p. 607-623
A Note on Tonelli Lagrangian Systems on $\mathbb{T}^2$ with Positive Topological Entropy on a High Energy Level
p. 625-635
Lax Pairs and First Integrals for Autonomous and Non-Autonomous Differential Equations Belonging to the Painlevé – Gambier List
p. 637-650
Cherry Maps with Different Critical Exponents: Bifurcation of Geometry
p. 651-672
In memory of Professor Vadim S. Anishchenko
p. 673-674