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Leonid Shilnikov, Леонид Шильников
Leonid Shilnikov, Леонид Шильников
Institute for Applied Mathematics & Cybernetics, Nizhny Novgorod, Russia
Verified email at gsu.edu - Homepage
Title
Cited by
Cited by
Year
Bifurcation theory
VI Arnold, VS Afrajmovich, YS Ilyashenko, LP Shil’nikov
Dynamical Systems V 5, 1-205, 1994
1723*1994
Methods of qualitative theory in nonlinear dynamics
LP Shil'nikov
World Scientific, 2001
12202001
A case of the existence of a denumerable set of periodic motions
LP Shilnikov
Doklady Akademii Nauk 160 (3), 558-561, 1965
912*1965
Dynamical systems III, encyclopaedia of mathematical sciences, vol. 3
VI Arnold, VV Kozlov, AI Neishtadt
Springer, Berlin, 1988
7691988
A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type
LP Shilnikov
Matematicheskii Sbornik 123 (1), 92-103, 1970
5661970
The origin and structure of the Lorenz attractor
VS Afraımovic, VV Bykov, LP Silnikov
Dokl. Akad. Nauk SSSR 234 (2), 336-339, 1977
524*1977
On a Poincaré-Birkhoff problem
LP Šil'nikov
Sbornik: Mathematics 3 (3), 353-371, 1967
411*1967
Dynamical systems V: bifurcation theory and catastrophe theory
VI Arnold, VS Afrajmovich, YS Il'yashenko, LP Shil'nikov
Springer Science & Business Media, 2013
3842013
Three-dimensional dynamical systems similar to a system with nonstructurally stable homocinic curve. I
INK Gavrilov, LP Shil'nikov
Mat. Sb 88, 475-492, 0
339*
On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. I
NK Gavrilov, LP Šil'nikov
Sbornik: Mathematics 17 (4), 467-485, 1972
3371972
Методы качественной теории в нелинейной динамике. Часть 1.
ЛП Шильников, АЛ Шильников, ДВ Тураев, Л Чуа
Москва-Ижевск: Институт компьютерных исследований, 2004
320*2004
Chua's circuit: Rigorous results and future problems
LP Shil'nikov
International Journal of Bifurcation and Chaos in Applied Sciences and …, 1994
2601994
Invariant 2D-tori, their breaking-down, and chaos
VS Afraimovich, LP Shil'nikov
Methods of Qualitative Theory of Differential Equations, 3-25, 1983
241*1983
Nonlinear Dynamics and Turbulence
VS Afraimovich, LP Shilnikov
Pitman, Boston, 1983
233*1983
An example of a wild strange attractor
DV Turaev, LP Shil'nikov
Sbornik: Mathematics 189, 291, 1998
224*1998
A case of the existence of a denumerable set of periodic motions
LP Silnikov
Sov. Math. Dokl 6 (163-166), 94, 1965
2241965
On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. II
NK Gavrilov, LP Šil'nikov
Mathematics of the USSR-Sbornik 19 (1), 139, 1973
2181973
Поведение динамических систем вблизи границ области устойчивости
НН Баутин, ЛП Шильников
ИЗБРАННЫЕ НАУЧНЫЕ ТРУДЫ, 77, 1984
2171984
On attractive non-robust limiting sets of type of Lorenz attractor
VS Afraimovich, VV Bykov, LP Shilnikov
Mosc. Math. Soc 44, 150-212, 1983
193*1983
On bifurcations of the Lorenz attractor in the Shimizu-Morioka model
AL Shil'nikov
Physica D: Nonlinear Phenomena 62 (1-4), 338-346, 1993
1921993
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Articles 1–20