Geodesic

Sommaire du Fascicule no. 1

Towards scenarios of chaos appearance in three-dimensional maps
p. 3-28
Poincar\'e recurrences in a system with non-strange chaotic attractor
p. 29-41
On the bi-Hamiltonian structure of the Chaplygin and Borisov--Mamaev--Fedorov systems at a zero constant of areas.~II
p. 43-55
On invariant manifolds of nonholonomic systems
p. 57-69
On a periodic motion of a rigid body carrying a material point in the presence of impacts with a horizontal plane
p. 71-81
On the motion of free disc on the rough horisontal plane
p. 83-101
The dynamics of the Chaplygin ball with a fluid-filled cavity
p. 103-111
The dynamics of vortex rings: Leapfrogging, choreographies and the stability problem
p. 113-147
Gyrostatics and wave motion (Chapter XVIII of ``The Life of William Thomson, Baron Kelvin of Largs: Vol.~II'')
p. 149-153
On the precessional motion of a liquid
p. 155-159
Letter to William Thomson, 6~October 1868
p. 161-165
A reply to ``Comments'' by A.\,V.~Tsiganov (ND, 2011, no.~3, p.~715)
p. 167-172
Alexander Yurievich Loskutov (5.5.1959--5.11.2011)
p. 175-177
Viatcheslav Vladimirovich Meleshko (07.10.1951--14.11.2011)
p. 179-182
Leonid Pavlovich Shilnikov (17.12.1934--26.12.2011)
p. 183-186
In memory of Leonid Pavlovich Shilnikov
p. 187-190
New books of Research center `` Regular and chaotic dynamics'' and the Institute of Computer Science
p. 191-193

Sommaire du Fascicule no. 2

Anatoly Pavlovich Markeev. On his 70th birthday
p. 201-218
On the dynamics of a rigid body carrying a material point
p. 219-229
Analysis of discontinuous bifurcations in nonsmooth dynamical systems
p. 231-247
On orbital stability pendulum-like oscillations and rotation of symmetric rigid body with a fixed point
p. 249-266
Motions of a two-degree-of-freedom Hamiltonian system in the presence of multiple third-order resonances
p. 267-288
How to control the Chaplygin sphere using rotors
p. 289-307
On coplanar equilibria of a space station on the cable fixed in an asteroid
p. 309-322
On symmetry breaking bifurcations in reversible systems
p. 323-343
On the Poisson structures for the Chaplygin ball and its generalizations
p. 345-353
The stability criterion of a regular vortex pentagon outside a circle
p. 355-368
About motion of symmetric gyrostat with a variable gyrostatic moment in two tasks of dynamics
p. 369-376
Some periodic orbits of general three body problem with vanishing angular momentum
p. 377-389
Towards a Prototype of a Spherical Tippe Top
p. 391-425
Comments on Ciocci~M.\,C. et~al. ``Towards a Prototype of a Spherical Tippe''
p. 427-430
\"Uber die Bewegungsgleichungen eines starren K\"orpers
p. 431-441
Book review: Leine,~R.\,I. and van de Wouw,~N. ``Stability and Convergence of Mechanical Systems with Unilateral Constraints''
p. 443-444
New books of Research center `` Regular and chaotic dynamics'' and the Institute of Computer Science
p. 445-446

Sommaire du Fascicule no. 3

Poincar\'e recurrences time and local dimension of chaotic attractors
p. 449-460
Universal two-dimensional map and its radiophysical realization
p. 461-471
Coupled universal maps demonstrating Neimark--Saker bifurcation
p. 473-482
Reduplication of chaotic attractors and construction of compound multiattractors
p. 483-496
Two kinds of auto-oscillations in active medium with periodical border conditions
p. 497-505
On some new aspects of Celtic stone chaotic dynamics
p. 507-518
A Poisson's bracket of a point motion on a surface
p. 519-522
On quadratic integral Poincare--Zhukovsky's equations
p. 523-540
On the nonholonomic Veselova and Chaplygin systems
p. 541-547
An extended Hamilton--Jacobi method
p. 549-568
On the Routh sphere
p. 569-583
On the final motion of cylindrical solids on a rough plane
p. 585-603
Rolling without spinning of a ball on a plane: absence of an invariant measure in a system with a complete set of first integrals
p. 605-616
Falling motion of a circular cylinder interacting dynamically with a point vortex
p. 617-628
Flicker noise in free fall cylinders in air
p. 629-639
On the 100th anniversary of the death of Henri Poincar{\'e}
p. 641-643
Eloge de Poincar{\'е}
p. 645-651
Henri Poincar\'e
p. 653-672
New books of Research center `` Regular and chaotic dynamics'' and the Institute of Computer Science
p. 673-675

Sommaire du Fascicule no. 4

Dynamics, simulation and control of a wheeled robotic glider
p. 679-687
Reinforcement learning for manipulator control
p. 689-704
The friction model in the case of a planar elliptic contact of a body with the supporting surface
p. 705-712
Computer model of the spur involute gear mesh dynamics in gearboxes
p. 713-734
Phenomena of nonlinear dynamics of dissipative systems in nonholonomic mechanics of the rattleback
p. 735-762
Dynamics of rigid body, carrying moving masses and rotor, on a rough plane
p. 763-772
On a mechanical lens
p. 773-781
Rolling of a rigid body without slipping and spinning: kinematics and dynamics
p. 783-797
Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid
p. 799-813
The motion of a body with variable mass geometry in a viscous fluid
p. 815-836
The problem of optimal control of a Chaplygin ball by internal rotors
p. 837-852
Notion of constraint in analytical mechanics
p. 853-860

Sommaire du Fascicule no. 5

Landau--Hopf scenario in the ensemble of interacting oscillators
p. 863-873
Dynamics of coupled nephrons and broadband synchronization
p. 875-896
Coherence resonance and synchronization of stochastic self-sustained oscillations in hard excitation oscillator
p. 897-911
On the theory of forced synchronization of self-modulated oscillations
p. 913-929
Libration Points of the Generalized Restricted Circular Problem of Three Bodies in the case of imaginary distance between attracting centers
p. 931-940
A spatial problem of a towed atmospheric probe
p. 941-955
Topological analysis of one integrable system related to the rolling of a ball over a sphere
p. 957-975
Sur les lois du frottement de glissement
p. 977-979
Comments on the P.~Painlev\'e paper ``Sur les lois du frottement de~glissement''
p. 981-984
New books of Research center `` Regular and chaotic dynamics'' and the Institute of Computer Science
p. 985-988