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Gonchenko, Sergei Vladimirovich
Statistics Math-Net.Ru
Total publications: 57
Scientific articles: 45
Presentations: 2

Number of views:
This page:2840
Abstract pages:18384
Full texts:5503
References:1624
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person8462
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/224712

Publications in Math-Net.Ru Citations
2025
1. S. V. Gonchenko, K. E. Morozov, “What is Quasi-Conservative Dynamics? On the Anniversary of A. D. Morozov”, Rus. J. Nonlin. Dyn., 21:1 (2025),  5–13  mathnet
2. Sergey V. Gonchenko, Lev M. Lerman, Andrey L. Shilnikov, Dmitry V. Turaev, “Scientific Heritage of L.P. Shilnikov. Part II. Homoclinic Chaos”, Regul. Chaotic Dyn., 30:2 (2025),  155–173  mathnet
3. Sergey V. Gonchenko, Ol'ga V. Gordeeva, “On the Structure of Orbits from a Neighborhood of a Transversal Homoclinic Orbit to a Nonhyperbolic Fixed Point”, Regul. Chaotic Dyn., 30:1 (2025),  9–25  mathnet
4. Sergey Gonchenko, Mikhail Malkin, Dmitry Turaev, “In Honor of the 90th Anniversary of Leonid Pavlovich Shilnikov (1934–2011)”, Regul. Chaotic Dyn., 30:1 (2025),  1–8  mathnet
2024
5. S. V. Gonchenko, O. V. Gordeeva, “On Two-Dimensional Diffeomorphisms with Homoclinic Orbits to Nonhyperbolic Fixed Points”, Rus. J. Nonlin. Dyn., 20:1 (2024),  151–165  mathnet
2022
6. Sergey V. Gonchenko, Klim A. Safonov, Nikita G. Zelentsov, “Antisymmetric Diffeomorphisms and Bifurcations of a Double Conservative Hénon Map”, Regul. Chaotic Dyn., 27:6 (2022),  647–667  mathnet  mathscinet 1
2021
7. S. V. Gonchenko, M. H. Kaynov, A. O. Kazakov, D. V. Turaev, “On methods for verification of the pseudohyperbolicity of strange attractors”, Izvestiya VUZ. Applied Nonlinear Dynamics, 29:1 (2021),  160–185  mathnet 7
2020
8. S. V. Gonchenko, M. S. Gonchenko, I. O. Sinitsky, “On mixed dynamics of two-dimensional reversible diffeomorphisms with symmetric non-transversal heteroclinic cycles”, Izv. RAN. Ser. Mat., 84:1 (2020),  27–59  mathnet  mathscinet  zmath  elib; Izv. Math., 84:1 (2020), 23–51  isi  scopus 6
9. S. V. Gonchenko, A. S. Gonchenko, A. O. Kazakov, “Three Types of Attractors and Mixed Dynamics of Nonholonomic Models of Rigid Body Motion”, Trudy Mat. Inst. Steklova, 308 (2020),  135–151  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 308 (2020), 125–140  isi  scopus 14
2019
10. S. V. Gonchenko, A. S. Gonchenko, A. O. Kazakov, A. D. Kozlov, Yu. V. Bakhanova, “Mathematical theory of dynamical chaos and its applications: Review. Part 2. Spiral chaos of three-dimensional flows”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:5 (2019),  7–52  mathnet  elib 8
2017
11. A. S. Gonchenko, S. V. Gonchenko, A. O. Kazakov, A. D. Kozlov, “Mathematical theory of dynamical chaos and its applications: Review. Part 1. Pseudohyperbolic attractors”, Izvestiya VUZ. Applied Nonlinear Dynamics, 25:2 (2017),  4–36  mathnet 2
12. S. V. Gonchenko, D. V. Turaev, “On three types of dynamics and the notion of attractor”, Trudy Mat. Inst. Steklova, 297 (2017),  133–157  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 297 (2017), 116–137  isi  scopus 51
2014
13. 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  mathscinet  zmath  isi 2
14. Sergey V. Gonchenko, Ivan I. Ovsyannikov, Joan C. Tatjer, “Birth of Discrete Lorenz Attractors at the Bifurcations of 3D Maps with Homoclinic Tangencies to Saddle Points”, Regul. Chaotic Dyn., 19:4 (2014),  495–505  mathnet  mathscinet  zmath  isi 12
15. Sergey V. Gonchenko, Îlga V. Gordeeva, Valery I. Lukyanov, Ivan I. Ovsyannikov, “On Bifurcations of Multidimensional Diffeomorphisms Having a Homoclinic Tangency to a Saddle-node”, Regul. Chaotic Dyn., 19:4 (2014),  461–473  mathnet  mathscinet  zmath  isi 3
16. Valentin S. Afraimovich, Sergey V. Gonchenko, Lev M. Lerman, Andrey L. Shilnikov, Dmitry V. Turaev, “Scientific Heritage of L.P. Shilnikov”, Regul. Chaotic Dyn., 19:4 (2014),  435–460  mathnet  mathscinet  zmath  isi 40
2013
17. Alexander S. Gonchenko, Sergey V. Gonchenko, “On existence of Lorenz-like attractors in a nonholonomic model of Celtic stones”, Nelin. Dinam., 9:1 (2013),  77–89  mathnet 3
18. Alexander S. Gonchenko, Sergey V. Gonchenko, Alexey O. Kazakov, “Richness of Chaotic Dynamics in Nonholonomic Models of a Celtic Stone”, Regul. Chaotic Dyn., 18:5 (2013),  521–538  mathnet  mathscinet  zmath  isi 86
19. S. V. Gonchenko, E. V. Zhuzhoma, N. V. Isaenkova, “The destruction of the Smale-Williams solenoids”, Zhurnal SVMO, 15:1 (2013),  65–70  mathnet
2012
20. Alexander S. Gonchenko, Sergey V. Gonchenko, Alexey O. Kazakov, “On some new aspects of Celtic stone chaotic dynamics”, Nelin. Dinam., 8:3 (2012),  507–518  mathnet 9
21. A. S. Gonchenko, S. V. Gonchenko, L. P. Shilnikov, “Towards scenarios of chaos appearance in three-dimensional maps”, Nelin. Dinam., 8:1 (2012),  3–28  mathnet 44
2011
22. S. V. Gonchenko, O. V. Sten'kin, “Homoclinic $\Omega$-explosion: hyperbolicity intervals and their boundaries”, Nelin. Dinam., 7:1 (2011),  3–24  mathnet  elib 3
2010
23. S. V. Gonchenko, A. S. Gonchenko, M. I. Malkin, “On classification of classical and half-orientable horseshoes in terms of boundary points”, Nelin. Dinam., 6:3 (2010),  549–566  mathnet  elib 2
24. S. V. Gonchenko, I. I. Ovsyannikov, “On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci”, Nelin. Dinam., 6:1 (2010),  61–77  mathnet  elib 5
2007
25. S. V. Gonchenko, A. S. Gonchenko, “Towards a classification of linear and nonlinear smale horseshoes”, Nelin. Dinam., 3:4 (2007),  423–443  mathnet 3
26. S. V. Gonchenko, V. S. Gonchenko, J. C. Tatjer, “Bifurcations of Three-Dimensional Diffeomorphisms with Non-Simple Quadratic Homoclinic Tangencies and Generalized Hénon Maps”, Regul. Chaotic Dyn., 12:3 (2007),  233–266  mathnet  mathscinet  zmath 28
2006
27. S. V. Gonchenko, O. V. Sten'kin, L. P. Shilnikov, “On the existence of infinitely many stable and unstable invariant tori for systems from Newhouse regions with heteroclinic tangencies”, Nelin. Dinam., 2:1 (2006),  3–25  mathnet 13
28. S. V. Gonchenko, K. R. Schneider, D. V. Turaev, “Quasiperiodic regimes in multisection semiconductor lasers”, Regul. Chaotic Dyn., 11:2 (2006),  213–224  mathnet  mathscinet  zmath
29. S. V. Gonchenko, J. D. Meiss, I. I. Ovsyannikov, “Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation”, Regul. Chaotic Dyn., 11:2 (2006),  191–212  mathnet  mathscinet  zmath 55
2004
30. S. V. Gonchenko, D. V. Turaev, L. P. Shilnikov, “Existence of Infinitely Many Elliptic Periodic Orbits in Four-Dimensional Symplectic Maps with a Homoclinic Tangency”, Trudy Mat. Inst. Steklova, 244 (2004),  115–142  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 244 (2004), 106–131 8
31. S. V. Gonchenko, V. S. Gonchenko, “On Bifurcations of Birth of Closed Invariant Curves in the Case of Two-Dimensional Diffeomorphisms with Homoclinic Tangencies”, Trudy Mat. Inst. Steklova, 244 (2004),  87–114  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 244 (2004), 80–105 23
2003
32. S. V. Gonchenko, L. P. Shilnikov, “On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points”, Zap. Nauchn. Sem. POMI, 300 (2003),  155–166  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 128:2 (2005), 2767–2773 13
2001
33. S. V. Gonchenko, A. S. Markichev, A. E. Shatalin, “Stable Periodic Trajectories of Two-Dimensional Diffeomorphisms Close to a Diffeomorphism with a Structurally Unstable Heteroclinic Contour”, Differ. Uravn., 37:2 (2001),  191–201  mathnet  mathscinet; Differ. Equ., 37:2 (2001), 205–215 3
2000
34. S. V. Gonchenko, L. P. Shilnikov, “Hyperbolic properties of four-dimensional symplectic mappings with a structurally unstable trajectory homoclinic to a fixed point of the saddle-focus type”, Differ. Uravn., 36:11 (2000),  1464–1474  mathnet  mathscinet; Differ. Equ., 36:11 (2000), 1610–1620 1
1999
35. S. V. Gonchenko, D. V. Turaev, L. P. Shilnikov, “Homoclinic tangencies of arbitrary order in Newhouse domains”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 67 (1999),  69–128  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 105:1 (2001), 1738–1778 28
1998
36. S. V. Gonchenko, L. P. Shilnikov, D. V. Turaev, “Elliptic Periodic Orbits Near a Homoclinic Tangency in Four-Dimensional Symplectic Maps and Hamiltonian Systems With Three Degrees of Freedom”, Regul. Chaotic Dyn., 3:4 (1998),  3–26  mathnet  mathscinet  zmath 10
1997
37. S. V. Gonchenko, L. P. Shilnikov, “On two-dimensional analitical area-preserving diffeomorphisms with a countable set of elliptic periodic points of stable type”, Regul. Chaotic Dyn., 2:3-4 (1997),  106–123  mathnet  mathscinet  zmath 3
38. S. V. Gonchenko, D. V. Turaev, L. P. Shilnikov, “On Newhouse domains of two-dimensional diffeomorphisms that are close to a diffeomorphism with a structurally unstable heteroclinic contour”, Trudy Mat. Inst. Steklova, 216 (1997),  76–125  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 216 (1997), 70–118 48
1996
39. S. V. Gonchenko, “Moduli of $\Omega$-conjugacy of two-dimensional diffeomorphisms with a structurally unstable heteroclinic contour”, Mat. Sb., 187:9 (1996),  3–24  mathnet  mathscinet  zmath; Sb. Math., 187:9 (1996), 1261–1281  isi  scopus 7
1993
40. S. V. Gonchenko, D. V. Turaev, L. P. Shilnikov, “Dynamical phenomena in multidimensional systems with a structurally unstable homoclinic Poincaré curve”, Dokl. Akad. Nauk, 330:2 (1993),  144–147  mathnet  mathscinet  zmath; Dokl. Math., 47:3 (1993), 410–415 12
41. S. V. Gonchenko, D. V. Turaev, L. P. Shilnikov, “On the existence of Newhouse regions in a neighborhood of systems with a structurally unstable homoclinic Poincaré curve (the multidimensional case)”, Dokl. Akad. Nauk, 329:4 (1993),  404–407  mathnet  mathscinet  zmath; Dokl. Math., 47:2 (1993), 268–273 13
1992
42. S. V. Gonchenko, L. P. Shilnikov, “On moduli of systems with a structurally unstable homoclinic Poincare curve”, Izv. RAN. Ser. Mat., 56:6 (1992),  1165–1197  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 41:3 (1993), 417–445  isi 29
1991
43. S. V. Gonchenko, D. V. Turaev, L. P. Shilnikov, “Models with a structurally unstable homoclinic Poincaré curve”, Dokl. Akad. Nauk SSSR, 320:2 (1991),  269–272  mathnet  mathscinet  zmath; Dokl. Math., 44:2 (1992), 422–426 8
1986
44. S. V. Gonchenko, L. P. Shilnikov, “Dynamical systems with structurally unstable homoclinic curves”, Dokl. Akad. Nauk SSSR, 286:5 (1986),  1049–1053  mathnet  mathscinet  zmath 6
1983
45. S. V. Gonchenko, “Stable periodic motions in systems close to a structurally unstable homoclinic curve”, Mat. Zametki, 33:5 (1983),  745–756  mathnet  mathscinet  zmath; Math. Notes, 33:5 (1983), 384–389  isi 12
2024
46. S. V. Gonchenko, A. S. Gonchenko, A. O. Kazakov, E. A. Samylina, “Mixed dynamics: elements of theory and examples”, Izvestiya VUZ. Applied Nonlinear Dynamics, 32:6 (2024),  722–765  mathnet
47. S. V. Gonchenko, M. I. Malkin, “Scientific legacy of L. P. Shilnikov: to the 90th anniversary”, Izvestiya VUZ. Applied Nonlinear Dynamics, 32:6 (2024),  713–721  mathnet
2021
48. O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, A. N. Bezdenezhnyh, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, S. I. Maksimenko, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomirov, V. F. Tishkin, D. V. Treschev, D. V. Turaev, N. G. Chebochko, E. E. Chilina, P. A. Shamanaev, D. D. Shubin, E. I. Yakovlev, “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021),  472–476  mathnet
2016
49. S. V. Gonchenko, E. V. Zhuzhoma, E. Ya. Gurevich, L. M. Lerman, O. V. Pochinka, V. F. Tishkin, I. I. Chuchaev, L. A. Sukharev, P. A. Shamanaev, R. V. Zhalnin, T. Ph. Mamedova, “Âÿ÷åñëàâ Çèãìóíäîâè÷ Ãðèíåñ (ê ñåìèäåñÿòèëåòèþ ñî äíÿ ðîæäåíèÿ)”, Zhurnal SVMO, 18:4 (2016),  168–171  mathnet
2012
50. V. S. Afraimovich, L. A. Belyakov, V. V. Bykov, S. V. Gonchenko, L. M. Lerman, V. I. Lukyanov, M. I. Malkin, A. D. Morozov, D. V. Turaev, “Leonid Pavlovich Shilnikov (17.12.1934–26.12.2011)”, Nelin. Dinam., 8:1 (2012),  183–186  mathnet
51. D. V. Anosov, V. S. Afraimovich, L. A. Bunimovich, S. V. Gonchenko, V. Z. Grines, Yu. S. Ilyashenko, A. B. Katok, S. A. Kashchenko, V. V. Kozlov, L. M. Lerman, A. D. Morozov, A. I. Neishtadt, Ya. B. Pesin, A. M. Samoilenko, Ya. G. Sinai, D. V. Treschev, D. V. Turaev, A. N. Sharkovskii, A. L. Shil'nikov, “Leonid Pavlovich Shil'nikov (obituary)”, Uspekhi Mat. Nauk, 67:3(405) (2012),  175–178  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 67:3 (2012), 573–577  isi
2010
52. V. S. Afraimovich, L. M. Lerman, S. V. Gonchenko, “Leonid Pavlovich Shilnikov (to the 75th anniversary)”, Nelin. Dinam., 6:1 (2010),  5–22  mathnet
53. S. V. Gonchenko, V. S. Gonchenko, L. P. Shilnikov, “On a homoclinic origin of Hénon-like maps”, Regul. Chaotic Dyn., 15:4-5 (2010),  462–481  mathnet  mathscinet  zmath 17
54. S. Gonchenko, M.-Ch. Li, “Shilnikov’s cross-map method and hyperbolic dynamics of three-dimensional Hénon-like maps”, Regul. Chaotic Dyn., 15:2-3 (2010),  165–184  mathnet  mathscinet  zmath 7
2009
55. S. V. Gonchenko, L. P. Shilnikov, D. V. Turaev, “On Global Bifurcations in Three-Dimensional Diffeomorphisms Leading to Wild Lorenz-Like Attractors”, Regul. Chaotic Dyn., 14:1 (2009),  137–147  mathnet  mathscinet  zmath 32
56. M. S. Gonchenko, S. V. Gonchenko, “On Cascades of Elliptic Periodic Points in Two-Dimensional Symplectic Maps with Homoclinic Tangencies”, Regul. Chaotic Dyn., 14:1 (2009),  116–136  mathnet  mathscinet  zmath 19
2006
57. S. V. Gonchenko, L. M. Lerman, D. V. Turaev, “Leonid Pavlovich Shilnikov. On his 70th birthday”, Regul. Chaotic Dyn., 11:2 (2006),  139–140  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Anosov $\varepsilon$-orbits and mixed dynamics
Sergey Gonchenko
International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov
December 20, 2016 15:35   
2. Àòòðàêòîðû è ðåïåëëåðû â îêðåñòíîñòè ýëëèïòè÷åñêèõ òî÷åê îáðàòèìûõ ñèñòåì
S. V. Gonchenko
Hamiltonian systems and statistical mechanics
March 25, 2013

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