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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2003, Volume 300, Pages 155–166 (Mi znsl997)

On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points
S. V. Gonchenko, L. P. Shilnikov

This publication is cited in the following articles:
  1. Sishu Shankar Muni, Robert I. McLachlan, David J. W. Simpson, “Unfolding globally resonant homoclinic tangencies”, DCDS, 42:8 (2022), 4013  crossref
  2. Sishu Shankar Muni, Robert I. McLachlan, David J. W. Simpson, “Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions”, DCDS, 41:8 (2021), 3629  crossref
  3. David J. W. Simpson, “Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps”, Int. J. Bifurcation Chaos, 30:03 (2020), 2030006  crossref
  4. David J. W. Simpson, Christopher P. Tuffley, “Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps”, Int. J. Bifurcation Chaos, 27:02 (2017), 1730010  crossref
  5. Berger P., De Simoi J., “on the Hausdorff Dimension of Newhouse Phenomena”, Ann. Henri Poincare, 17:1 (2016), 227–249  crossref  mathscinet  zmath  isi  elib  scopus
  6. Pablo G. Barrientos, Santiago Ibáñez, J. Ángel Rodríguez, “Robust cycles unfolding from conservative bifocal homoclinic orbits”, Dynamical Systems, 31:4 (2016), 546  crossref
  7. Kryzhevich S., “Dynamics Near Nonhyperbolic Fixed Points Or Nontransverse Homoclinic Points”, Math. Comput. Simul., 95:SI (2014), 163–179  crossref  mathscinet  isi  elib  scopus
  8. Amadeu Delshams, Marina Gonchenko, Sergey V. Gonchenko, “On Bifurcations of Area-preserving and Nonorientable Maps with Quadratic Homoclinic Tangencies”, Regul. Chaotic Dyn., 19:6 (2014), 702–717  mathnet  crossref  mathscinet  zmath
  9. Falcolini C., Tedeschini-Lalli L., “Henon Map: Simple Sinks Gaining Coexistence as B -> 1”, Int. J. Bifurcation Chaos, 23:9 (2013), 1330030  crossref  mathscinet  zmath  isi  elib  scopus
  10. Narcís Miguel, Carles Simó, Arturo Vieiro, “From the Hénon Conservative Map to the Chirikov Standard Map for Large Parameter Values”, Regul. Chaotic Dyn., 18:5 (2013), 469–489  mathnet  crossref  mathscinet  zmath
  11. Gorodetski A., “On Stochastic Sea of the Standard Map”, Comm Math Phys, 309:1 (2012), 155–192  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  12. Proc. Steklov Inst. Math., 267 (2009), 76–90  mathnet  crossref  mathscinet  zmath  isi  elib
  13. Gonchenko M.S., Gonchenko S.V., “On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies”, Regular & Chaotic Dynamics, 14:1 (2009), 116–136  crossref  mathscinet  zmath  adsnasa  isi  scopus


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