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1
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0002040493
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On two-dimensional analytic area-preserving diffeomorphisms with infinitely many stable elliptic periodic points
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S. V. Gonchenko and L. P. Shilnikov, "On two-dimensional analytic area-preserving diffeomorphisms with infinitely many stable elliptic periodic points," Regul. Chaotic Dyn., 2, Nos. 3/4, 106-123 (1997).
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(1997)
Regul. Chaotic Dyn.
, vol.2
, Issue.3-4
, pp. 106-123
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Gonchenko, S.V.1
Shilnikov, L.P.2
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2
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0034287926
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On two-dimensional area-preserving diffeomorphisms with infinitely many elliptic islands
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S. V. Gonchenko and L. P. Shilnikov, "On two-dimensional area-preserving diffeomorphisms with infinitely many elliptic islands," J. Statist. Phys., 101, Nos. 1/2, 321-356 (2000).
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(2000)
J. Statist. Phys.
, vol.101
, Issue.1-2
, pp. 321-356
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Gonchenko, S.V.1
Shilnikov, L.P.2
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3
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0039355855
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Invariants of Ω-conjugacy of diffeomorphisms with a structurally unstable homoclinic trajectory
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S. V. Gonchenko and L. P. Shilnikov, "Invariants of Ω-conjugacy of diffeomorphisms with a structurally unstable homoclinic trajectory," Ukrainian Math. J., 42, no. 2, 134-140 (1990).
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(1990)
Ukrainian Math. J.
, vol.42
, Issue.2
, pp. 134-140
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Gonchenko, S.V.1
Shilnikov, L.P.2
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4
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84970084626
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On moduli of systems with a structurally unstable homoclinic Poincaré curve
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S. V. Gonchenko and L. P. Shilnikov, "On moduli of systems with a structurally unstable homoclinic Poincaré curve," Izv. Russian Akad. Nauk, 41, 417-445 (1992).
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(1992)
Izv. Russian Akad. Nauk
, vol.41
, pp. 417-445
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Gonchenko, S.V.1
Shilnikov, L.P.2
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5
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0001448221
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On dynamical systems with structurally unstable homoclinic curves
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S. V. Gonchenko and L. P. Shilnikov, "On dynamical systems with structurally unstable homoclinic curves," Soviet Math. Dokl., 33, no. 1, 234-238 (1986).
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(1986)
Soviet Math. Dokl.
, vol.33
, Issue.1
, pp. 234-238
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Gonchenko, S.V.1
Shilnikov, L.P.2
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6
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33947614412
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Arithmetic properties of topological invariants of systems with a structurally unstable homoclinic trajectory
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S. V. Gonchenko and L. P. Shilnikov, "Arithmetic properties of topological invariants of systems with a structurally unstable homoclinic trajectory," Ukrainian Math. J., 39, no. 1, 21-28 (1987).
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(1987)
Ukrainian Math. J.
, vol.39
, Issue.1
, pp. 21-28
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Gonchenko, S.V.1
Shilnikov, L.P.2
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7
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0040431514
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On two-dimensional area-preserving mappings with homoclinic tangencies
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S. V. Gonchenko and L. P. Shilnikov, "On two-dimensional area-preserving mappings with homoclinic tangencies," Dokl. Akad. Nauk, 63, no. 3, 395-399 (2001).
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(2001)
Dokl. Akad. Nauk
, vol.63
, Issue.3
, pp. 395-399
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Gonchenko, S.V.1
Shilnikov, L.P.2
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8
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0000063614
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On a Poincaré-Birkhoff problem
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L. P. Shilnikov, "On a Poincaré-Birkhoff problem," Math. Sb. (N. S.), 3, 353-371 (1967).
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(1967)
Math. Sb. (N. S.)
, vol.3
, pp. 353-371
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Shilnikov, L.P.1
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9
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84980087693
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The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
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J. Moser, "The analytic invariants of an area-preserving mapping near a hyperbolic fixed point," Comm. Pure Appl. Math., 9, 673-692 (1956).
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(1956)
Comm. Pure Appl. Math.
, vol.9
, pp. 673-692
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Moser, J.1
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10
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79955577320
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On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. I
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N. K. Gavrilov and L. P. Shilnikov, "On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. I," Math. Sb. (N. S.), 17, 467-485 (1972);
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(1972)
Math. Sb. (N. S.)
, vol.17
, pp. 467-485
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Gavrilov, N.K.1
Shilnikov, L.P.2
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11
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84914761829
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On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. II
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N. K. Gavrilov and L. P. Shilnikov, "On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. II," Math. Sb. (N. S.), 19, 139-156 (1973).
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(1973)
Math. Sb. (N. S.)
, vol.19
, pp. 139-156
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Gavrilov, N.K.1
Shilnikov, L.P.2
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12
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0003546876
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World Sci. Publishing, River Edge
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L. P. Shilnikov, A. L. Shilnikov, D. V. Turaev, and L. O. Chua, Methods of Qualitative Theory in Nonlinear Dynamics, Part I, World Sci. Publishing, River Edge (1998).
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(1998)
Methods of Qualitative Theory in Nonlinear Dynamics, Part I
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Shilnikov, L.P.1
Shilnikov, A.L.2
Turaev, D.V.3
Chua, L.O.4
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13
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21844512730
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On geometrical properties of two-dimensional diffeomorphisms with homoclinic tangencies
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S. V. Gonchenko and L. P. Shilnikov, "On geometrical properties of two-dimensional diffeomorphisms with homoclinic tangencies," Internat. J. Bifur. Chaos, 5, no. 3, 819-829 (1995).
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(1995)
Internat. J. Bifur. Chaos
, vol.5
, Issue.3
, pp. 819-829
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Gonchenko, S.V.1
Shilnikov, L.P.2
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14
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0002768228
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Strange attractors and quasiattractors
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G. I. Barenblatt, G. Iooss, and D. D. Joseph (eds.), Pitman, Boston
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V. S. Afraimovich and L. P. Shilnikov, "Strange attractors and quasiattractors," in: Nonlinear Dynamics and Turbulence, G. I. Barenblatt, G. Iooss, and D. D. Joseph (eds.), Pitman, Boston (1983), pp. 1-34.
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(1983)
Nonlinear Dynamics and Turbulence
, pp. 1-34
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Afraimovich, V.S.1
Shilnikov, L.P.2
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15
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0002320384
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Bifurcations in a two-parameter family of conservative mappings that are close to the Hénon map
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V. S. Biragov, "Bifurcations in a two-parameter family of conservative mappings that are close to the Hénon map," Selecta Math. Soviet., 9, 273-282 (1990).
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(1990)
Selecta Math. Soviet.
, vol.9
, pp. 273-282
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Biragov, V.S.1
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