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[1] S. V. Gonchenko, L. P. Shilnikov, “On two-dimensional analytic area-preserving diffeomorphisms with infinitely many stable elliptic periodic points”, Regular and Chaotic Dynamics, 2:3–4 (1997), 106–123 | MR | Zbl
[2] S. V. Gonchenko, L. P. Shilnikov, “On two-dimensional area-preserving diffeomorphisms with infinitely many elliptic islands”, J. Stat. Phys., 101:1–2 (2000), 321–356 | DOI | MR | Zbl
[3] S. V. Gonchenko, L. P. Shilnikov, “Invariants of $\Omega$-conjugacy of diffeomorphisms with a structurally unstable homoclinic trajectory”, Ukrainian Math. J., 42:2 (1990), 134–140 | DOI | MR | Zbl
[4] S. V. Gonchenko, L. P. Shilnikov, “On moduli of systems with a structurally unstable homoclinic Poincare curve”, Izv. RAN, 41 (1992), 417–445 | DOI | MR | Zbl
[5] S. V. Gonchenko, L. P. Shilnikov, “On dynamical systems with structurally unstable homoclinic curves”, Soviet Math. Dokl., 33:1 (1986), 234–238 | MR | Zbl
[6] S. V. Gonchenko, L. P. Shilnikov, “Arithmetic properties of topological invariants of systems with a structurally unstable homoclinic trajectory”, Ukr. Math. J., 39:1 (1987), 21–28 | DOI | MR | Zbl
[7] S. V. Gonchenko, L. P. Shilnikov, “On two-dimensional area-preserving mappings with homoclinic tangencies”, Dokl. Mathem., 63:3 (2001), 395–399 | MR | Zbl
[8] L. P. Shilnikov, “On a Poincaré-Birkhoff problem”, Math. Sb. USSR, 3:3 (1967), 353–371 | DOI
[9] J. Moser, “The analytic invariants of an area-preserving mapping near a hyperbolic fixed point”, Comm. of Pure and Appl. Math., 9 (1956), 673–692 | DOI | MR | Zbl
[10] N. K. Gavrilov, L. P. Shilnikov, “On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve, I”, Math. Sb. USSR, 17 (1972), 467–485 ; “II”, 19 (1973), 139–156 | DOI | DOI
[11] L. P. Shilnikov, A. L. Shilnikov, D. V. Turaev, L. O. Chua, Methods of Qualitative Theory in Nonlinear Dynamics, Part I, World Scientific, 1998 | MR | Zbl
[12] S. V. Gonchenko, L. P. Shilnikov, “On geometrical properties of two-dimensional diffeomorphisms with homoclinic tangencies”, Int. J. of Bifurcation and Chaos, 5:3 (1995), 819–829 | DOI | MR | Zbl
[13] V. S. Afraimovich, L. P. Shilnikov, “Strange attractors and quasiattractors”, Nonlinear Dynamics and Turbulence, eds. G. I. Barenblatt, G. Iooss, D. D. Joseph, Pitmen, Boston, 1983, 1–34 | MR
[14] V. S. Biragov, “Bifurcations in a two-parameter family of conservative mappings that are close to the Henon map”, Selecta Math. Sov., 9 (1990), 273–282 | MR | Zbl