-
1
-
-
0000936975
-
On three-dimensional systems close to a system with a nonrough homoclinic curve, I, II
-
N. K. Gavrilov and L. P. Shil'nikov, "On three-dimensional systems close to a system with a nonrough homoclinic curve, I, II," Mat. Sb., 88, No. 4, 475-492 (1972); 90, No. 1, 139-157 (1973).
-
(1972)
Mat. Sb.
, vol.88
, Issue.4
, pp. 475-492
-
-
Gavrilov, N.K.1
Shil'nikov, L.P.2
-
2
-
-
0000936968
-
-
N. K. Gavrilov and L. P. Shil'nikov, "On three-dimensional systems close to a system with a nonrough homoclinic curve, I, II," Mat. Sb., 88, No. 4, 475-492 (1972); 90, No. 1, 139-157 (1973).
-
(1973)
Mat. Sb.
, vol.90
, Issue.1
, pp. 139-157
-
-
-
3
-
-
0041801952
-
On stable periodic motions of systems close to systems with a nonrough homoclinic curve
-
S. V. Gonchenko, "On stable periodic motions of systems close to systems with a nonrough homoclinic curve," Mat. Zametki, 33, No. 5, 745-755 (1983).
-
(1983)
Mat. Zametki
, vol.33
, Issue.5
, pp. 745-755
-
-
Gonchenko, S.V.1
-
5
-
-
17644417180
-
Dynamics and moduli of Ω-conjugacy of 4D-diffeomorphisms with a structurally unstable homoclinic orbit to a saddle-focus fixed point
-
S. V. Gonchenko, "Dynamics and moduli of Ω-conjugacy of 4D-diffeomorphisms with a structurally unstable homoclinic orbit to a saddle-focus fixed point," Amer. Trans. Math., 200, No. 2, 107-134 (2000).
-
(2000)
Amer. Trans. Math.
, vol.200
, Issue.2
, pp. 107-134
-
-
Gonchenko, S.V.1
-
6
-
-
17644424032
-
Homoclinic tangencies, Ω-moduli, and bifurcations
-
S. V. Gonchenko, "Homoclinic tangencies, Ω-moduli, and bifurcations," Tr. Mat. Inst. Steklova, 236 (2002).
-
(2002)
Tr. Mat. Inst. Steklova
, vol.236
-
-
Gonchenko, S.V.1
-
8
-
-
17644389275
-
On Hopf bifurcations of closed invariant curves in the case of two-dimensional diffeomorphisms with a homoclinic tangency
-
(in press).
-
S. V. Gonchenko and V. S. Gonchenko, "On Hopf bifurcations of closed invariant curves in the case of two-dimensional diffeomorphisms with a homoclinic tangency," Tr. Mat. Inst. Steklova (in press).
-
Tr. Mat. Inst. Steklova
-
-
Gonchenko, S.V.1
Gonchenko, V.S.2
-
9
-
-
0011541555
-
Ω-Conjugacy invariants of diffeomorphisms with a nonrough homoclinic trajectory
-
S. V. Gonchenko and L. P. Shil'nikov, "Ω-Conjugacy invariants of diffeomorphisms with a nonrough homoclinic trajectory," Ukr. Mat. Zh., 42, No. 2, 153-159 (1990).
-
(1990)
Ukr. Mat. Zh.
, vol.42
, Issue.2
, pp. 153-159
-
-
Gonchenko, S.V.1
Shil'nikov, L.P.2
-
10
-
-
0001096995
-
On moduli of systems with a nonrough Poincaré homoclinic curve
-
S. V. Gonchenko and L. P. Shil'nikov, "On moduli of systems with a nonrough Poincaré homoclinic curve," Izv. Ross. Akad. Nauk, Ser. Mat., 56, No. 6, 1165-1196 (1992).
-
(1992)
Izv. Ross. Akad. Nauk, Ser. Mat.
, vol.56
, Issue.6
, pp. 1165-1196
-
-
Gonchenko, S.V.1
Shil'nikov, L.P.2
-
11
-
-
0011667119
-
On dynamic systems with nonrough homoclinic curves
-
S. V. Gonchenko and L. P. Shil'nikov, "On dynamic systems with nonrough homoclinic curves," Dokl. Akad. Nauk SSSR, 286, No. 5, 1049-105 (1986).
-
(1986)
Dokl. Akad. Nauk SSSR
, vol.286
, Issue.5
, pp. 1049-1105
-
-
Gonchenko, S.V.1
Shil'nikov, L.P.2
-
12
-
-
0002223695
-
On arithmetical properties of topological invariants of systems with a nonrough homoclinic trajectory
-
S. V. Gonchenko and L. P. Shil'nikov, "On arithmetical properties of topological invariants of systems with a nonrough homoclinic trajectory," Ukr. Mat. Zh., 39, No. 1, 21-28 (1987).
-
(1987)
Ukr. Mat. Zh.
, vol.39
, Issue.1
, pp. 21-28
-
-
Gonchenko, S.V.1
Shil'nikov, L.P.2
-
13
-
-
3142659184
-
On Newhouse domains with infinitely many stable and unstable invariant tori
-
Institute of Applied Physics, RAS, Nizhny Novgorod
-
S. V. Gonchenko, L. P. Shil'nikov, and O. V. Sten'kin, "On Newhouse domains with infinitely many stable and unstable invariant tori," Proc. Int. Conf. Dedicated to the 100th Birthday of A. A. Andronov, Vol. 1, Mathematical Problems of Nonlinear Dynamics, Institute of Applied Physics, RAS, Nizhny Novgorod (2002), pp. 80-102.
-
(2002)
Proc. Int. Conf. Dedicated to the 100th Birthday of A. A. Andronov, Vol. 1, Mathematical Problems of Nonlinear Dynamics
, vol.1
, pp. 80-102
-
-
Gonchenko, S.V.1
Shil'Nikov, L.P.2
Sten'Kin, O.V.3
-
14
-
-
43949172086
-
On models with nonrough Poincaré homoclinic curves
-
S. V. Gonchenko, L. P. Shil'nikov, and D. V. Turaev, "On models with nonrough Poincaré homoclinic curves," Physica D, 62, Nos. 1-4,1-14
-
Physica D
, vol.62
, Issue.1-4
, pp. 1-14
-
-
Gonchenko, S.V.1
Shil'nikov, L.P.2
Turaev, D.V.3
-
15
-
-
0005283382
-
Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits
-
S. V. Gonchenko, L. P. Shil'nikov, and D. V. Turaev, "Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits," Interdiscip. J. Chaos, 6, No. 1, 15-31 (1996).
-
(1996)
Interdiscip. J. Chaos
, vol.6
, Issue.1
, pp. 15-31
-
-
Gonchenko, S.V.1
Shil'nikov, L.P.2
Turaev, D.V.3
-
16
-
-
0001684820
-
On models with nonrough Poincaré homoclinic curves
-
S. V. Gonchenko, D. V. Turaev, and L. P. Shil'nikov, "On models with nonrough Poincaré homoclinic curves," Dokl. Akad. Nauk SSSR, 320, No. 2, 269-272 (1991).
-
(1991)
Dokl. Akad. Nauk SSSR
, vol.320
, Issue.2
, pp. 269-272
-
-
Gonchenko, S.V.1
Turaev, D.V.2
Shil'nikov, L.P.3
-
17
-
-
0010196406
-
On the existence of Newhouse domains near systems with a nonrough homoclinic curve (higher-dimensional case)
-
S. V. Gonchenko, D. V. Turaev, and L. P. Shil'nikov, "On the existence of Newhouse domains near systems with a nonrough homoclinic curve (higher-dimensional case)," Dokl. Ross. Akad. Nauk, 329, No. 4, 404-407 (1993).
-
(1993)
Dokl. Ross. Akad. Nauk
, vol.329
, Issue.4
, pp. 404-407
-
-
Gonchenko, S.V.1
Turaev, D.V.2
Shil'nikov, L.P.3
-
18
-
-
0010143093
-
Dynamical phenomena in higher-dimensional systems with a nonrough Poincaré homoclinic curve
-
S. V. Gonchenko, D. V. Turaev, and L. P. Shil'nikov, "Dynamical phenomena in higher-dimensional systems with a nonrough Poincaré homoclinic curve," Dokl. Ross. Akad. Nauk, 330, No. 2, 144-147 (1993).
-
(1993)
Dokl. Ross. Akad. Nauk
, vol.330
, Issue.2
, pp. 144-147
-
-
Gonchenko, S.V.1
Turaev, D.V.2
Shil'nikov, L.P.3
-
19
-
-
0002058632
-
On the Newhouse domains of two-dimensional diffeomorphisms close to a diffeomorphism with a nonrough heteroclinic contour
-
S. V. Gonchenko, D. V. Turaev, and L. P. Shil'nikov, "On the Newhouse domains of two-dimensional diffeomorphisms close to a diffeomorphism with a nonrough heteroclinic contour," Tr. Mat. Inst. Steklova, 216, 7-118 (1997).
-
(1997)
Tr. Mat. Inst. Steklova
, vol.216
, pp. 7-118
-
-
Gonchenko, S.V.1
Turaev, D.V.2
Shil'nikov, L.P.3
-
20
-
-
17644377650
-
Homoclinic tangencies of arbitrary order in the Newhouse domains
-
All-Russian Institute for Scientific and Technical Information, Ross. Akad. Nauk, Moscow
-
S. V. Gonchenko, D. V. Turaev, and L. P. Shil'nikov, "Homoclinic tangencies of arbitrary order in the Newhouse domains," in: Progress in Science and Technology, Series on Contemporary Mathematics and Its Applications, Thematical Surveys, Dynamical Systems-6 [in Russian], Vol. 67, All-Russian Institute for Scientific and Technical Information, Ross. Akad. Nauk, Moscow (1999), pp. 67-129.
-
(1999)
Progress in Science and Technology, Series on Contemporary Mathematics and Its Applications, Thematical Surveys, Dynamical Systems-6 [in Russian]
, vol.67
, pp. 67-129
-
-
Gonchenko, S.V.1
Turaev, D.V.2
Shil'Nikov, L.P.3
-
21
-
-
32044475236
-
Diffeomorphisms with infinitely many sinks
-
S. Newhouse, "Diffeomorphisms with infinitely many sinks," Topology, 13, 9-18 (1974).
-
(1974)
Topology
, vol.13
, pp. 9-18
-
-
Newhouse, S.1
-
22
-
-
51249181043
-
The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
-
S. E. Newhouse, "The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms," Publ. Math. IHES, 50, 101-151 (1979).
-
(1979)
Publ. Math. IHES
, vol.50
, pp. 101-151
-
-
Newhouse, S.E.1
-
23
-
-
0000109928
-
Systems with a homoclinic curve of a higher-dimensional saddle-focus and the spiral chaos
-
I. M. Ovsyannikov and L. P. Shil'nikov, "Systems with a homoclinic curve of a higher-dimensional saddle-focus and the spiral chaos," Mat. Sb., 182, 1043-1073 (1991).
-
(1991)
Mat. Sb.
, vol.182
, pp. 1043-1073
-
-
Ovsyannikov, I.M.1
Shil'nikov, L.P.2
-
24
-
-
0039023464
-
High dimension diffeomorphisms displaying infinitely many sinks
-
J. Palis and M. Viana, "High dimension diffeomorphisms displaying infinitely many sinks," Ann. Math., 140, 91-136 (1994).
-
(1994)
Ann. Math.
, vol.140
, pp. 91-136
-
-
Palis, J.1
Viana, M.2
-
25
-
-
84974408747
-
Persistence of homoclinic tangencies in higher dimensions
-
N. Romero, "Persistence of homoclinic tangencies in higher dimensions," Ergod. Theory Dyn. Syst., 15, 735-757 (1995).
-
(1995)
Ergod. Theory Dyn. Syst.
, vol.15
, pp. 735-757
-
-
Romero, N.1
-
26
-
-
21344497876
-
Normal forms and Lorenz attractors
-
A. L. Shil'nikov, L. P. Shil'nikov, and D. V. Turaev, "Normal forms and Lorenz attractors," Int. J. Bifurcations Chaos, 1, No. 4, 1123-1139 (1993).
-
(1993)
Int. J. Bifurcations Chaos
, vol.1
, Issue.4
, pp. 1123-1139
-
-
Shil'nikov, A.L.1
Shil'nikov, L.P.2
Turaev, D.V.3
-
27
-
-
0000063614
-
On a Poincaré-Birkhoff problem
-
L. P. Shil'nikov, "On a Poincaré-Birkhoff problem," Mat. Sb., 74, No. 4, 378-397 (1967).
-
(1967)
Mat. Sb.
, vol.74
, Issue.4
, pp. 378-397
-
-
Shil'nikov, L.P.1
-
28
-
-
17644372794
-
-
World Scientific
-
L. P. Shilnikov, A. L. Shilnikov, D. V. Turaev, and L. O. Chua, Methods of Qualitative Theory in Nonlinear Dynamics, Part I, World Scientific (1998).
-
(1998)
Methods of Qualitative Theory in Nonlinear Dynamics
, Issue.1 PART
-
-
Shilnikov, L.P.1
Shilnikov, A.L.2
Turaev, D.V.3
Chua, L.O.4
-
29
-
-
0002737270
-
Diffeomorphisms with many periodic points
-
Princeton Univ. Press
-
S. Smale, "Diffeomorphisms with many periodic points," in: Differential and Combinatorial Topology, Princeton Univ. Press (1965), pp. 63-80.
-
(1965)
Differential and Combinatorial Topology
, pp. 63-80
-
-
Smale, S.1
-
30
-
-
0042302939
-
On bifurcations of periodic trajectories in a neighborhood of a nonrough homoclinic curve
-
O. V. Sten'kin and L. P. Shil'nikov, "On bifurcations of periodic trajectories in a neighborhood of a nonrough homoclinic curve," Differents. Uravn., 33, No. 3, 377-384 (1997).
-
(1997)
Differents. Uravn.
, vol.33
, Issue.3
, pp. 377-384
-
-
Sten'kin, O.V.1
Shil'nikov, L.P.2
-
31
-
-
0035628941
-
Three-dimensional dissipative diffeomorphisms with homoclinic tangencies
-
J. C. Tatjer, "Three-dimensional dissipative diffeomorphisms with homoclinic tangencies," Ergod. Theory Dyn. Syst., 21, 249-302 (2001).
-
(2001)
Ergod. Theory Dyn. Syst.
, vol.21
, pp. 249-302
-
-
Tatjer, J.C.1
-
32
-
-
17644415794
-
Example of a wild strange attractor
-
D. V. Turaev and L. P. Shil'nikov, "Example of a wild strange attractor," Mat. Sb., 189, No. 2, 137-160 (1998).
-
(1998)
Mat. Sb.
, vol.189
, Issue.2
, pp. 137-160
-
-
Turaev, D.V.1
Shil'nikov, L.P.2
-
33
-
-
0030136340
-
On the dimension of nonlocal bifurcation problems
-
D. V. Turaev, "On the dimension of nonlocal bifurcation problems," Int. J. Bifurcation Chaos, 6, No. 5, 919-948 (1996).
-
(1996)
Int. J. Bifurcation Chaos
, vol.6
, Issue.5
, pp. 919-948
-
-
Turaev, D.V.1
|