Andrei Valerevich Dukov

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All published works

Action	Title	Year	Authors
+	Saddle connections	2024	Andrei Valerevich Dukov
+	Кратности предельных циклов, рождающихся при разрушении гиперболических полициклов	2023	Andrei Valerevich Dukov
+ PDF Chat	Multiplicities of limit cycles appearing after perturbations of hyperbolic polycycles	2023	Andrei Valerevich Dukov
+	Numeric invariants in semilocal bifurcations	2020	Andrei Valerevich Dukov Yu. Ilyashenko
+	Bifurcations of the ‘heart’ polycycle in generic 2-parameter families	2018	Andrei Valerevich Dukov

Common Coauthors

Coauthor	Papers Together
Yu. Ilyashenko	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Generic one-parameter families of vector fields on two-dimensional manifolds	1974	Jorge Sotomayor	3
+ PDF Chat	Global bifurcations in the two-sphere: a new perspective	2018	Yu. Ilyashenko Yury Kudryashov Ilya Schurov	3
+	The Existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles	2003	V. A. Kaloshin	3
+ PDF Chat	Cyclicity of elementary polycycles with fixed number of singular points in generic $k$-parameter families	2011	P. I. Kaleda I. V. Shchurov	3
+	Elementary graphics of cyclicity 1 and 2	1994	Freddy Dumortier Robert Roussarie Christiane Rousseau	2
+	Commutative Algebra	1995	David Eisenbud	2
+	Families of vector fields with finite modulus of stability	1981	Iaci Malta Jacob Palis	1
+	Bifurcations of the polycycle "tears of the heart": multiple numerical invariants	2018	Nataliya Goncharuk Yury Kudryashov	1
+	Bifurcations of the ‘heart’ polycycle in generic 2-parameter families	2018	Andrei Valerevich Dukov	1
+	Dynamical Systems V	1994	Vladimir I. Arnold	1
+	Numeric invariants in semilocal bifurcations	2020	Andrei Valerevich Dukov Yu. Ilyashenko	1
+	Generation of limit cycles from a separatrix forming a loop and from the separatrix of an equilibrium state of saddle-node type	1963	A. A. and Leontovič Andronov	1
+	Concerning the Hilbert sixteenth problem	1995	Yu. Ilyashenko S. Yakovenko	1
+	Large bifurcation supports	2018	Nataliya Goncharuk Yu. Ilyashenko	1
+	Bifurcation of limit cycles near polycycles with n vertices	2004	Maoan Han Yuhai Wu Ping Bi	1
+	Finitely-smooth normal forms of local families of diffeomorphisms and vector fields	1991	Yu. Ilyashenko Sergeî Yakovenko	1
+ PDF Chat	Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan. Algorithme de finitude	1991	Abderaouf Mourtada	1
+	Global Bifurcations in Generic One-Parameter Families with a Separatrix Loop on S2	2018	Yu. Ilyashenko Nikita Solodovnikov	1
+	Generation of limit cycles from separatrix polygons in the phase plane	1980	J. W. Reyn	1