Geodesic

Sommaire du Fascicule no. 1

Bernoulli shifts in predator--prey mappings
p. 3-14
Nonautonomous vector fields on $S^3$: Simple dynamics and wild embedding of separatrices
p. 15-32
Quasidifferential operator and quantum argument shift method
p. 33-39
Local bifurcations and a~global attractor for two versions of the~weakly dissipative Ginzburg--Landau equation
p. 40-61
Existence and stability of a~stationary solution of the~system of diffusion equations in a~medium with discontinuous characteristics under various quasimonotonicity conditions
p. 62-82
Existence and stability of a~stable stationary solution with a~boundary layer for a~system of reaction--diffusion equations with Neumann boundary conditions
p. 83-94
On noncompact bifurcation in one generalized model of vortex dynamics
p. 95-108
Stability and equivalence of admissible pairs of arbitrary dimension for a~compactification of the~moduli space of stable vector bundles
p. 109-128
Hamiltonian dynamics of a~spaceship in Alcubierre and G\"{o}del metrics: Recursion operators and underlying master symmetries
p. 129-148
On Killing tensors in three-dimensional Euclidean space
p. 149-164

Sommaire du Fascicule no. 2

Comparison between the~QP formalism and the~ Painlev\'{e} property in integrable dynamical systems
p. 167-178
Boundary control of fronts in a~Burgers-type equation with modular adhesion and periodic amplification
p. 179-189
Real Hamiltonian forms of affine Toda field theories: Spectral aspects
p. 190-212
Periodic two-cluster synchronization modes in fully coupled
p. 213-233
Dynamics of solutions of logistic equation with delay and diffusion in a~planar domain
p. 234-256
Toy model of a~Boltzmann-type equation for the~ contact
p. 257-262
Set-theoretical solutions of the~ Zamolodchikov tetrahedron equation on associative rings and Liouville integrability
p. 263-272
Local dynamics of equation with periodically distributed delay
p. 273-286
On partially hyperbolic symplectic automorphisms of a~6-torus
p. 287-302
Similarity reductions of peakon equations: the~$b$-family
p. 303-324

Sommaire du Fascicule no. 3

On the~blowup of solutions of the~Cauchy problem for nonlinear equations of ferroelectricity theory
p. 327-339
Solutions of the~analogues of time-dependent Schr\"odinger equations corresponding to a~pair of $H^{3+2}$ Hamiltonian systems
p. 340-353
Exotic localized waves in the~shifted nonlocal multicomponent nonlinear Schr\"{o}dinger equation
p. 354-373
Darboux transformation for the~defocusing modified complex short-pulse equation and its multi-dark-soliton solutions
p. 374-385
Riemann--Hilbert approach and $N$-soliton solutions of the~two-component Kundu--Eckhaus equation
p. 386-402
Superpositions of coherent states determined by Gauss sums
p. 403-413
Andreev states in a~quasi-one-dimensional superconductor on the~surface of a~topological insulator
p. 414-428
Nonprobability Gibbs measures for the~HC model with a~countable set of spin values for a~``wand''-type graph on a~Cayley tree
p. 429-447
Periodic Gibbs measures for the~three-state SOS model on a~Cayley tree with a~translation-invariant external field
p. 448-456
Entanglement entropy of a~near-extremal black hole
p. 457-477
Cosmological constant, scalar field, and the~coincidence
p. 478-488
Erratum to: J. W. Wawrzycki ``Bogoliubov's causal perturbative QED and white noise. Interacting fields''
p. 489-491