-
1
-
-
0000063614
-
On a Poincare-Birkhoff problem
-
L.P. Shilnikov On a Poincare-Birkhoff problem Math. USSR Sb. 3 1967 353 371
-
(1967)
Math. USSR Sb.
, vol.3
, pp. 353-371
-
-
Shilnikov, L.P.1
-
3
-
-
43949172086
-
On models with non-rough Poincare homoclinic curves
-
S.V. Gonchenko, L.P. Shilnikov, and D.V. Turaev On models with non-rough Poincare homoclinic curves Physica D 62 1993 1 14
-
(1993)
Physica D
, vol.62
, pp. 1-14
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
Turaev, D.V.3
-
4
-
-
0005283382
-
Dynamical phenomena in systems with structurally unstable Poincare homoclinic orbits
-
S.V. Gonchenko, L.P. Shilnikov, and D.V. Turaev Dynamical phenomena in systems with structurally unstable Poincare homoclinic orbits Chaos 6 1996 15 31
-
(1996)
Chaos
, vol.6
, pp. 15-31
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
Turaev, D.V.3
-
5
-
-
0042871500
-
Homoclinic tangencies of an arbitrary order in Newhouse domains
-
S.V. Gonchenko, D.V. Turaev, and L.P. Shilnikov Homoclinic tangencies of an arbitrary order in Newhouse domains J. Math. Sci. 105 2001 1738 1778
-
(2001)
J. Math. Sci.
, vol.105
, pp. 1738-1778
-
-
Gonchenko, S.V.1
Turaev, D.V.2
Shilnikov, L.P.3
-
6
-
-
33947622603
-
Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps
-
S. Gonchenko, L. Shilnikov, and D. Turaev Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps Nonlinearity 20 2007 241 275
-
(2007)
Nonlinearity
, vol.20
, pp. 241-275
-
-
Gonchenko, S.1
Shilnikov, L.2
Turaev, D.3
-
7
-
-
32044475236
-
Diffeomorphisms with infinitely many sinks
-
S.E. Newhouse Diffeomorphisms with infinitely many sinks Topology 13 1974 9 18
-
(1974)
Topology
, vol.13
, pp. 9-18
-
-
Newhouse, S.E.1
-
8
-
-
0002768228
-
Strange attractors and quasiattractors
-
G.I. Barenblatt, G. Iooss, D.D. Joseph, Pitman Boston
-
V.S. Afraimovich, and L.P. Shilnikov Strange attractors and quasiattractors G.I. Barenblatt, G. Iooss, D.D. Joseph, Nonlinear Dynamics and Turbulence 1983 Pitman Boston 1 51
-
(1983)
Nonlinear Dynamics and Turbulence
, pp. 1-51
-
-
Afraimovich, V.S.1
Shilnikov, L.P.2
-
9
-
-
0011271968
-
Dynamical phenomena in multi-dimensional systems with a non-rough Poincare homoclinic curve
-
S.V. Gonchenko, D.V. Turaev, and L.P. Shilnikov Dynamical phenomena in multi-dimensional systems with a non-rough Poincare homoclinic curve Russ. Acad. Sci. Dokl. Math. 47 1993 410 415
-
(1993)
Russ. Acad. Sci. Dokl. Math.
, vol.47
, pp. 410-415
-
-
Gonchenko, S.V.1
Turaev, D.V.2
Shilnikov, L.P.3
-
10
-
-
43049144272
-
On dynamical properties of multidimensional diffeomorphisms from Newhouse regions. i
-
S.V. Gonchenko, L.P. Shilnikov, and D.V. Turaev On dynamical properties of multidimensional diffeomorphisms from Newhouse regions. I Nonlinearity 21 2008 923 972
-
(2008)
Nonlinearity
, vol.21
, pp. 923-972
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
Turaev, D.V.3
-
11
-
-
79955577320
-
On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve, Part i
-
Part II., Math. USSR Sbornik 19 1973 139 156
-
N.K. Gavrilov, and L.P. Shilnikov On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve, Part I Math. USSR Sbornik 17 1972 467 485 Part II., Math. USSR Sbornik 19 1973 139 156
-
(1972)
Math. USSR Sbornik
, vol.17
, pp. 467-485
-
-
Gavrilov, N.K.1
Shilnikov, L.P.2
-
12
-
-
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. Inst. Hautes Etudes Sci. 50 1979 101 151
-
(1979)
Publ. Math. Inst. Hautes Etudes Sci.
, vol.50
, pp. 101-151
-
-
Newhouse, S.E.1
-
13
-
-
0011277539
-
On the existence of Newhouse domains in a neighborhood of systems with a structurally unstable Poincare homoclinic curve (the higher-dimensional case)
-
S.V. Gonchenko, D.V. Turaev, and L.P. Shilnikov On the existence of Newhouse domains in a neighborhood of systems with a structurally unstable Poincare homoclinic curve (the higher-dimensional case) Russ. Acad. Sci. Dokl. Math. 47 1993 268 273
-
(1993)
Russ. Acad. Sci. Dokl. Math.
, vol.47
, pp. 268-273
-
-
Gonchenko, S.V.1
Turaev, D.V.2
Shilnikov, L.P.3
-
14
-
-
0039023464
-
High dimension diffeomorphisms displaying infinitely many sinks
-
J. Palis, and M. Viana High dimension diffeomorphisms displaying infinitely many sinks Ann. of Math. 140 1994 91 136
-
(1994)
Ann. of Math.
, vol.140
, pp. 91-136
-
-
Palis, J.1
Viana, M.2
-
15
-
-
17644427641
-
On dynamic properties of diffeomorphisms with homoclinic tangency
-
DOI 10.1007/s10958-005-0008-3
-
S.V. Gonchenko, L.P. Shilnikov, and D.V. Turaev On dynamical properties of diffeomorphisms with homoclinic tangencies J. Math. Sci. 126 2005 1317 1343 (Pubitemid 40571765)
-
(2005)
Journal of Mathematical Sciences
, vol.126
, Issue.4
, pp. 1317-1343
-
-
Gonchenko, S.V.1
Turaev, D.V.2
Shil'nikov, L.P.3
-
16
-
-
43049127340
-
On the existence of an infinite set of stable and unstable invariant tori for systems from Newhouse regions with heteroclinic cycles
-
S.V. Gonchenko, O.V. Sten'kin, and L.P. Shilnikov On the existence of an infinite set of stable and unstable invariant tori for systems from Newhouse regions with heteroclinic cycles Russ. J. Nonlinear Dynam. 2 2006 3 25
-
(2006)
Russ. J. Nonlinear Dynam.
, vol.2
, pp. 3-25
-
-
Gonchenko, S.V.1
Sten'Kin, O.V.2
Shilnikov, L.P.3
-
18
-
-
84860712407
-
On bifurcations of three-dimensional diffeomorphisms with a structurally-unstable heteroclinic cycle that contains saddle-foci
-
I.I. Ovsyannikov, and S.V. Gonchenko On bifurcations of three-dimensional diffeomorphisms with a structurally-unstable heteroclinic cycle that contains saddle-foci Russ. J. Nonlinear Dynam. 6 2010 1 17
-
(2010)
Russ. J. Nonlinear Dynam.
, vol.6
, pp. 1-17
-
-
Ovsyannikov, I.I.1
Gonchenko, S.V.2
-
19
-
-
43049144272
-
On dynamical properties of multidimensional diffeomorphisms from Newhouse regions. II
-
submitted for publication
-
S.V. Gonchenko, L.P. Shilnikov, D.V. Turaev, On dynamical properties of multidimensional diffeomorphisms from Newhouse regions. II, Nonlinearity (submitted for publication).
-
Nonlinearity
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
Turaev, D.V.3
-
21
-
-
84860764585
-
Richness of chaos in the absolute Newhouse domain
-
Hindustan Book Agency
-
D. Turaev Richness of chaos in the absolute Newhouse domain Proc. ICM 2010 vol. 3 2010 Hindustan Book Agency 1804 1815
-
(2010)
Proc. ICM 2010
, vol.3
, pp. 1804-1815
-
-
Turaev, D.1
-
22
-
-
0000462372
-
How often do simple dynamical processes have infinitely many coexisting sinks?
-
L. Tedeschini-Lalli, and J.A. Yorke How often do simple dynamical processes have infinitely many coexisting sinks? Commun. Math. Phys. 106 1986 635 657
-
(1986)
Commun. Math. Phys.
, vol.106
, pp. 635-657
-
-
Tedeschini-Lalli, L.1
Yorke, J.A.2
-
23
-
-
84860756384
-
On the genericity of the Newhouse phenomenon, talk at Equadiff 2003
-
D. Turaev, On the genericity of the Newhouse phenomenon, talk at Equadiff 2003, Hasselt.
-
Hasselt
-
-
Turaev, D.1
-
24
-
-
33750625209
-
How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency
-
DOI 10.1016/j.aim.2006.03.012, PII S0001870806000995
-
A. Gorodetski, and V. Kaloshin How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency Adv. Math. 208 2007 710 797 (Pubitemid 44688708)
-
(2007)
Advances in Mathematics
, vol.208
, Issue.2
, pp. 710-797
-
-
Gorodetski, A.1
Kaloshin, V.2
-
25
-
-
34250148938
-
On stable periodic motions in systems close to a system with a nontransversal homoclinic curve
-
S.V. Gonchenko On stable periodic motions in systems close to a system with a nontransversal homoclinic curve Russ. Math. Notes 33 1983 384 389
-
(1983)
Russ. Math. Notes
, vol.33
, pp. 384-389
-
-
Gonchenko, S.V.1
-
26
-
-
0030136340
-
On dimension of nonlocal bifurcational problems
-
D.V. Turaev On dimension of nonlocal bifurcational problems Bifurcation and Chaos 6 1996 919 948
-
(1996)
Bifurcation and Chaos
, vol.6
, pp. 919-948
-
-
Turaev, D.V.1
-
27
-
-
51649164983
-
Bifurcations and stability of families of diffeomorphisms
-
S.E. Newhouse, J. Palis, and F. Takens Bifurcations and stability of families of diffeomorphisms Publ. Math. IHES 57 1983 5 72
-
(1983)
Publ. Math. IHES
, vol.57
, pp. 5-72
-
-
Newhouse, S.E.1
Palis, J.2
Takens, F.3
-
28
-
-
0035628941
-
Three-dimensional dissipative diffeomorphisms with homoclinic tangencies
-
J.C. Tatjer Three-dimensional dissipative diffeomorphisms with homoclinic tangencies Ergodic Theory Dynam. Systems 21 2001 249 302
-
(2001)
Ergodic Theory Dynam. Systems
, vol.21
, pp. 249-302
-
-
Tatjer, J.C.1
-
29
-
-
37349105501
-
Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps
-
S.V. Gonchenko, V.S. Gonchenko, and J.C. Tatjer Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps Regul. Chaotic Dyn. 12 2007 233 266
-
(2007)
Regul. Chaotic Dyn.
, vol.12
, pp. 233-266
-
-
Gonchenko, S.V.1
Gonchenko, V.S.2
Tatjer, J.C.3
-
30
-
-
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. Math. Soc. Transl. 200 2000 107 134
-
(2000)
Amer. Math. Soc. Transl.
, vol.200
, pp. 107-134
-
-
Gonchenko, S.V.1
-
32
-
-
33750534853
-
An example of a resonant homoclinic loop of infinite cyclicity
-
D. Turaev An example of a resonant homoclinic loop of infinite cyclicity Moscow Math. J. 5 2005 219 229
-
(2005)
Moscow Math. J.
, vol.5
, pp. 219-229
-
-
Turaev, D.1
-
34
-
-
84970084626
-
On moduli of systems with a nontransversal Poincare homoclinic orbit
-
S.V. Gonchenko, and L.P. Shilnikov On moduli of systems with a nontransversal Poincare homoclinic orbit Russ. Acad. Sci. Izv. Math. 41 1993 417 445
-
(1993)
Russ. Acad. Sci. Izv. Math.
, vol.41
, pp. 417-445
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
-
35
-
-
21544445402
-
On bifurcations of two-dimensional diffeomorphisms with a homoclinic tangency of manifolds of a neutral saddle
-
V.S. Gonchenko On bifurcations of two-dimensional diffeomorphisms with a homoclinic tangency of manifolds of a neutral saddle Proc. Math. Steklov Inst. 236 2002 86 93
-
(2002)
Proc. Math. Steklov Inst.
, vol.236
, pp. 86-93
-
-
Gonchenko, V.S.1
-
36
-
-
33644896659
-
On bifurcations of three-dimensional diffeomorphisms with a homoclinic tangency to a "neutral" saddle fixed point
-
V.S. Gonchenko, and I.I. Ovsyannikov On bifurcations of three-dimensional diffeomorphisms with a homoclinic tangency to a "neutral" saddle fixed point Notes of S. Petersburg Math. Inst. 300 2003 167 172
-
(2003)
Notes of S. Petersburg Math. Inst.
, vol.300
, pp. 167-172
-
-
Gonchenko, V.S.1
Ovsyannikov, I.I.2
-
37
-
-
33644914312
-
On bifurcations of the birth of closed invariant curves in the case of two-dimensional diffeomorphisms with homoclinic tangencies
-
S.V. Gonchenko, and V.S. Gonchenko On bifurcations of the birth of closed invariant curves in the case of two-dimensional diffeomorphisms with homoclinic tangencies Proc. Math. Steklov Inst. 244 2004 80 105
-
(2004)
Proc. Math. Steklov Inst.
, vol.244
, pp. 80-105
-
-
Gonchenko, S.V.1
Gonchenko, V.S.2
-
38
-
-
84860748729
-
On bifurcations of a homoclinic loop of a saddle-focus with the index 12
-
V.S. Gonchenko, and L.P. Shilnikov On bifurcations of a homoclinic loop of a saddle-focus with the index 12 Russ. Math. Dokl. 417 2007
-
(2007)
Russ. Math. Dokl.
, vol.417
-
-
Gonchenko, V.S.1
Shilnikov, L.P.2
|