Geodesic

Representation theory, dynamical systems. Part VIII

Preface
p. 9-10
Vladimir Fedorovich Lazutkin
p. 11-12
List of publications by V.\, F.~Lazutkin
p. 13-22
Remembering V.\,F.~Lazutkin
p. 23-24
Splitting of separatrices for the Chirikov standard map
p. 25-55
Billiards and nonholonomic distributions
p. 56-64
Generalized coherent states: a~novel approach
p. 65-71
A~stable foliation to infinity in the phase space of the H\'enon map
p. 72-79
Space stereoscopic observatory project
p. 80-86
Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems
p. 87-121
Creating transverse homoclinic connections in planar billiards
p. 122-134
Twistless tori near low order resonances
p. 135-144
Recent results on the Fermi--Pasta--Ulam problem
p. 145-154
On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points
p. 155-166
On bifurcations of three-dimensional diffeomorphisms with a~homoclinic tangency to a~``neutral'' saddle fixed point
p. 167-172
Resonant phenomena in slowly irregular rectangular waveguides
p. 173-179
Special function related to the scattering of the whispering gallery mode at the point of local straightening
p. 180-186
On Hamiltonian systems with homoclinic orbit to a~saddle-center
p. 187-193
Weak convergence of measures in conservative systems
p. 194-205
Two-dimensional chaos: the baker map under control
p. 206-214
Embedded spectrum on a~metric graph (an observation)
p. 215-220
Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics
p. 221-227
Cartesian approach for nonholonomic systems
p. 228-237
Inverse cascade solutions of the Euler equations
p. 238-244
Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems
p. 245-249
Small islands of stability in the phase space of the Carleson map
p. 250-258
The Andronov--Hopf bifurcation with~$2:1$ resonance
p. 259-265
Hyperbolic structure for the quadratic map
p. 266-272
On exponentially small effects in dynamical systems with a~small parameter
p. 273-278
List of participants of the Workshop on Differential Equations dedicated to the memory of Vladimir Lazutkin, Saint-Petersburg, August 18--20, 2002
p. 279-282
List of reports presented at the Workshop on Differential Equations dedicated to the memory of Vladimir Lazutkin the texts of which are not included in this volume
p. 283-284