-
1
-
-
79955577320
-
On Three-Dimensional Dynamical Systems Close to Systems with a Structurally Unstable Homoclinic Curve, Part I
-
Part II, Mat. Sb., 1973, vol. 19, pp. 139-156 (in Russian)
-
Gavrilov, N.K. and Shilnikov, L.P., On Three-Dimensional Dynamical Systems Close to Systems with a Structurally Unstable Homoclinic Curve, Part I, Mat. Sb., 1972, vol. 17, pp. 467-485; Part II, Mat. Sb., 1973, vol. 19, pp. 139-156 (in Russian).
-
(1972)
Mat. Sb.
, vol.17
, pp. 467-485
-
-
Gavrilov, N.K.1
Shilnikov, L.P.2
-
2
-
-
32044475236
-
Diffeomorphisms with Infinitely Many Sinks
-
Newhouse, S.E., Diffeomorphisms with Infinitely Many Sinks, Topology, 1974, vol. 13, pp. 9-18.
-
(1974)
Topology
, vol.13
, pp. 9-18
-
-
Newhouse, S.E.1
-
3
-
-
0041801952
-
On Stable Periodic Motions in Systems Close to a System with a Nontransversal Homoclinic Curve
-
[Math. Notes, 1983, vol. 33, pp. 384-389]
-
Gonchenko, S. V., On Stable Periodic Motions in Systems Close to a System with a Nontransversal Homoclinic Curve, Mat. Zametki, 1983, vol. 33, pp. 745-756 [Math. Notes, 1983, vol. 33, pp. 384-389].
-
(1983)
Mat. Zametki
, vol.33
, pp. 745-756
-
-
Gonchenko, S.V.1
-
4
-
-
0011271968
-
Dynamical Phenomena in Multi-Dimensional Systems with a Non-Rough Poincaré Homoclinic Curve
-
Gonchenko, S. V., Turaev, D. V., and Shilnikov, L.P., Dynamical Phenomena in Multi-Dimensional Systems with a Non-Rough Poincaré Homoclinic Curve, Russ. Acad. Sci. Dokl. Math., 1993, vol. 47, pp. 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
-
5
-
-
0039023464
-
High Dimension Diffeomorphisms Displaying Infinitely Many Sinks
-
Palis, J. and Viana, M., High Dimension Diffeomorphisms Displaying Infinitely Many Sinks, Ann. Math., 1994, vol. 140, pp. 91-136.
-
(1994)
Ann. Math.
, vol.140
, pp. 91-136
-
-
Palis, J.1
Viana, M.2
-
6
-
-
43049144272
-
On Dynamical Properties of Multidimensional Diffeomorphisms from Newhouse Regions, I
-
Gonchenko, S.V., Shilnikov, L.P., and Turaev, D.V., On Dynamical Properties of Multidimensional Diffeomorphisms from Newhouse Regions, I, Nonlinearity, 2008, vol. 21, pp. 923-972.
-
(2008)
Nonlinearity
, vol.21
, pp. 923-972
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
Turaev, D.V.3
-
7
-
-
33644914312
-
On Bifurcations of the Birth of Closed Invariant Curves in the Case of Two-Dimensional Diffeomorphisms with Homoclinic Tangencies
-
Gonchenko, S.V. and Gonchenko, V. S., On Bifurcations of the Birth of Closed Invariant Curves in the Case of Two-Dimensional Diffeomorphisms with Homoclinic Tangencies, Proc. Steklov Inst. Math., 2004, vol. 244, pp. 80-105.
-
(2004)
Proc. Steklov Inst. Math.
, vol.244
, pp. 80-105
-
-
Gonchenko, S.V.1
Gonchenko, V.S.2
-
8
-
-
37349105501
-
Bifurcations of Three-Dimensional Diffeomorphisms with Non-Simple Quadratic Homoclinic Tangencies and Generalized Hénon Maps
-
Gonchenko, S. V., Gonchenko, V. S., and Tatjer, J. C., Bifurcations of Three-Dimensional Diffeomorphisms with Non-Simple Quadratic Homoclinic Tangencies and Generalized Hénon Maps, Regul. Chaotic Dyn., 2007, vol. 12, no. 3, pp. 233-266.
-
(2007)
Regul. Chaotic Dyn.
, vol.12
, Issue.3
, pp. 233-266
-
-
Gonchenko, S.V.1
Gonchenko, V.S.2
Tatjer, J.C.3
-
9
-
-
0005283382
-
Dynamical Phenomena in Systems with Structurally Unstable Poincaré Homoclinic Orbits
-
Gonchenko, S. V., Sten'kin O.V., and Shilnikov, L.P., Dynamical Phenomena in Systems with Structurally Unstable Poincaré Homoclinic Orbits, Chaos, 2006, vol. 6, pp. 15-31.
-
(2006)
Chaos
, vol.6
, pp. 15-31
-
-
Gonchenko, S.V.1
Sten'kin, O.V.2
Shilnikov, L.P.3
-
10
-
-
0242344635
-
Abundance of Strange Attractors
-
Mora, L. and Viana, M., Abundance of Strange Attractors, Acta Math., 1993, vol. 171, no. 1, pp. 1-71.
-
(1993)
Acta Math.
, vol.171
, Issue.1
, pp. 1-71
-
-
Mora, L.1
Viana, M.2
-
11
-
-
0002768228
-
Strange Attractors and Quasiattractors
-
in G.I. Barenblatt, G. Iooss, D.D. Joseph (Eds.), Boston: Pitmen
-
Aframovich, V. S. and Shilnikov, L.P., Strange Attractors and Quasiattractors, in Nonlinear Dynamics and Turbulence, G.I. Barenblatt, G. Iooss, D.D. Joseph (Eds.), Boston: Pitmen, 1983.
-
(1983)
Nonlinear Dynamics and Turbulence
-
-
Aframovich, V.S.1
Shilnikov, L.P.2
-
12
-
-
51649168546
-
Structural Stability of Lorenz Attractors
-
Guckenheimer, J. and Williams, R. F., Structural Stability of Lorenz Attractors, Inst. Hautes Études Sci. Publ. Math., 1979, no. 50, pp. 59-72.
-
(1979)
Inst. Hautes Études Sci. Publ. Math.
, Issue.50
, pp. 59-72
-
-
Guckenheimer, J.1
Williams, R.F.2
-
13
-
-
0000119416
-
On Attracting Structurally Unstable Limit Sets of Lorenz Attractor Type
-
Afraimovich, V. S., Bykov, V.V., and Shilnikov, L.P., On Attracting Structurally Unstable Limit Sets of Lorenz Attractor Type, Trans. Moscow Math. Soc., 1982, vol. 44, pp. 153-216.
-
(1982)
Trans. Moscow Math. Soc.
, vol.44
, pp. 153-216
-
-
Afraimovich, V.S.1
Bykov, V.V.2
Shilnikov, L.P.3
-
14
-
-
0009568318
-
The Origin and Structure of the Lorenz Attractor
-
Afraimovich, V. S., Bykov, V.V., and Shilnikov, L.P., The Origin and Structure of the Lorenz Attractor, Dokl. Phys., 1977, vol. 22, pp. 253-255.
-
(1977)
Dokl. Phys.
, vol.22
, pp. 253-255
-
-
Afraimovich V.S. Bykov, V.V.1
Shilnikov, L.P.2
-
15
-
-
0032220873
-
An Example of a Wild Strange Attractor
-
Turaev, D.V. and Shilnikov, L.P., An Example of a Wild Strange Attractor, Mat. Sb., 1998, vol. 189, pp. 291-314.
-
(1998)
Mat. Sb.
, vol.189
, pp. 291-314
-
-
Turaev, D.V.1
Shilnikov, L.P.2
-
16
-
-
41549128876
-
Pseudo-Hyperbolicity and the Problem on Periodic Perturbations of Lorenz-like Attractors
-
Turaev, D.V. and Shilnikov, L.P., Pseudo-Hyperbolicity and the Problem on Periodic Perturbations of Lorenz-like Attractors, Russian Dokl. Math., 2008, vol. 77, no. 1, pp. 17-21.
-
(2008)
Russian Dokl. Math.
, vol.77
, Issue.1
, pp. 17-21
-
-
Turaev, D.V.1
Shilnikov, L.P.2
-
17
-
-
32044445484
-
Three-Dimensional Hénon-like Maps and Wild Lorenz-like Attractors
-
Gonchenko, S. V., Ovsyannikov, I. I., Simó, C., and Turaev, D., Three-Dimensional Hénon-like Maps and Wild Lorenz-like Attractors, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 2005, vol. 15, pp. 3493-3508.
-
(2005)
Internat. J. Bifur. Chaos Appl. Sci. Engrg.
, vol.15
, pp. 3493-3508
-
-
Gonchenko, S.V.1
Ovsyannikov, I.I.2
Simó, C.3
Turaev, D.4
-
18
-
-
0011317754
-
On Models with a Structurally Unstable Homoclinic Poincaré Curve
-
Gonchenko, S. V., Shilnikov, L.P., and Turaev, D. V., On Models with a Structurally Unstable Homoclinic Poincaré Curve, Soviet Math. Dokl., 1992, vol. 44, pp. 422-426.
-
(1992)
Soviet Math. Dokl.
, vol.44
, pp. 422-426
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
Turaev, D.V.3
-
19
-
-
0042871500
-
Homoclinic Tangencies of Any Order in Newhouse Regions
-
Gonchenko, S.V., Shilnikov, L.P., and Turaev, D.V., Homoclinic Tangencies of Any Order in Newhouse Regions, J. Math. Sci., 2001, vol. 105, pp. 1738-1778.
-
(2001)
J. Math. Sci.
, vol.105
, pp. 1738-1778
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
Turaev, D.V.3
-
20
-
-
33947622603
-
Homoclinic Tangencies of Arbitrarily High Orders in Conservative and Dissipative Two-Dimensional Maps
-
Gonchenko, S., Shilnikov, L., and Turaev, D., Homoclinic Tangencies of Arbitrarily High Orders in Conservative and Dissipative Two-Dimensional Maps, Nonlinearity, 2007, vol. 20, pp. 241-275.
-
(2007)
Nonlinearity
, vol.20
, pp. 241-275
-
-
Gonchenko, S.1
Shilnikov, L.2
Turaev, D.3
-
21
-
-
51249181043
-
The Abundance of Wild Hyperbolic Sets and Non-Smooth Stable Sets for Diffeomorphisms
-
Newhouse, S.E., The Abundance of Wild Hyperbolic Sets and Non-Smooth Stable Sets for Diffeomorphisms, Publ. Math. Inst. Hautes Études Sci., 1979, vol. 50, pp. 101-151.
-
(1979)
Publ. Math. Inst. Hautes Études Sci.
, vol.50
, pp. 101-151
-
-
Newhouse, S.E.1
-
22
-
-
21344497876
-
Normal Forms and Lorenz Attractors
-
Shilnikov, A. L., Shilnikov, L.P., and Turaev, D.V., Normal Forms and Lorenz Attractors, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 1993, vol. 3, pp. 1123-1139.
-
(1993)
Internat. J. Bifur. Chaos Appl. Sci. Engrg.
, vol.3
, pp. 1123-1139
-
-
Shilnikov, A.L.1
Shilnikov, L.P.2
Turaev, D.V.3
-
23
-
-
33745583790
-
Chaotic Dynamics of Three-Dimensional Hénon Maps that Originate from a Homoclinic Bifurcation
-
Gonchenko, S. V., Meiss, J. D., and Ovsyannikov, I. I., Chaotic Dynamics of Three-Dimensional Hénon Maps that Originate from a Homoclinic Bifurcation, Regul. Chaotic Dyn., 2006, vol. 11, pp. 191-212.
-
(2006)
Regul. Chaotic Dyn.
, vol.11
, pp. 191-212
-
-
Gonchenko, S.V.1
Meiss, J.D.2
Ovsyannikov, I.I.3
-
24
-
-
0002591468
-
A Two-Dimensional Mapping with a Strange Attractor
-
Hénon, M., A Two-Dimensional Mapping with a Strange Attractor, Comm. Math. Phys., 1976, vol. 50, pp. 69-77.
-
(1976)
Comm. Math. Phys.
, vol.50
, pp. 69-77
-
-
Hénon, M.1
-
25
-
-
0040417832
-
Bifurcation and Chaos in the Marioka-Shimizu System
-
in Gorky (in Russian) [Selecta Math. Soviet., 1991, vol. 10, pp. 105-117]
-
Shilnikov, A. L., Bifurcation and Chaos in the Marioka-Shimizu System, in Methods of Qualitative Theory of Differential Equations, Gorky, 1986, pp. 180-193 (in Russian) [Selecta Math. Soviet., 1991, vol. 10, pp. 105-117].
-
(1986)
Methods of Qualitative Theory of Differential Equations
, pp. 180-193
-
-
Shilnikov, A.L.1
-
26
-
-
0000764166
-
On Bifurcations of the Lorenz Attractor in the Shimuizu-Morioka Model
-
Shilnikov, A. L., On Bifurcations of the Lorenz Attractor in the Shimuizu-Morioka Model, Physica D, 1993, vol. 62, pp. 338-346.
-
(1993)
Physica D
, vol.62
, pp. 338-346
-
-
Shilnikov, A.L.1
-
27
-
-
60349086322
-
On the Lorenz Attractor in the Shimuizu-Morioka Model
-
submitted to
-
Tigan, G. and Turaev, D., On the Lorenz Attractor in the Shimuizu-Morioka Model, submitted to Nonlinearity.
-
Nonlinearity
-
-
Tigan, G.1
Turaev, D.2
-
28
-
-
17644427641
-
On Dynamical Properties of Diffeomorphisms with Homoclinic Tangencies
-
Gonchenko, S.V., Shilnikov, L.P., and Turaev, D.V., On Dynamical Properties of Diffeomorphisms with Homoclinic Tangencies, J. Math. Sci., 2005, vol. 126, pp. 1317-1343.
-
(2005)
J. Math. Sci.
, vol.126
, pp. 1317-1343
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
Turaev, D.V.3
-
29
-
-
0003546876
-
-
Singapore: World Sci
-
Shilnikov, L.P., Shilnikov, A. L., Turaev, D.V., and Chua, L.O., Methods of Qualitative Theory in Nonlinear Dynamics, Part I, Singapore: World Sci., 1998.
-
(1998)
Methods of Qualitative Theory in Nonlinear Dynamics, Part I
-
-
Shilnikov, L.P.1
Shilnikov, A.L.2
Turaev, D.V.3
Chua, L.O.4
-
30
-
-
17644417180
-
Dynamics and Moduli of Ω-Conjugacy of 4D-Diffeomorphisms with a Structurally Unstable Homoclinic Orbit to a Saddle-Focus Fixed Point
-
Gonchenko, S. V., 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. Ser. 2, 2000, vol. 200, pp. 107-134.
-
(2000)
Amer. Math. Soc. Transl. Ser. 2
, vol.200
, pp. 107-134
-
-
Gonchenko, S.V.1
-
31
-
-
0011277539
-
On the Existence of Newhouse Regions Near Systems with Non-Rough Poincaré Homoclinic Curve (Multidimensional Case)
-
Gonchenko, S. V., Shilnikov, L.P., and Turaev, D. V., On the Existence of Newhouse Regions Near Systems with Non-Rough Poincaré Homoclinic Curve (Multidimensional Case), Russian Acad. Sci. Dokl. Math., 1993, vol. 47, no. 2, pp. 268-283.
-
(1993)
Russian Acad. Sci. Dokl. Math.
, vol.47
, Issue.2
, pp. 268-283
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
Turaev, D.V.3
-
32
-
-
0002058632
-
On Newhouse Regions of Two-Dimensional Diffeomorphisms Close to a Diffeomorphism with a Nontransversal Heteroclinic Cycle
-
Gonchenko, S. V., Shilnikov, L.P., and Turaev, D. V., On Newhouse Regions of Two-Dimensional Diffeomorphisms Close to a Diffeomorphism with a Nontransversal Heteroclinic Cycle, Proc. Steklov Inst. Math., 1997, vol. 216, pp. 70-118.
-
(1997)
Proc. Steklov Inst. Math.
, vol.216
, pp. 70-118
-
-
Gonchenko, S.V.1
Shilnikov, L.P.2
Turaev, D.V.3
|