Impasse Singularities of Differential Systems of the Form A(x)x′=F(x)

Jorge Sotomayor, Michail Zhitomirskii

Type: Article

Publication Date: 2001-01-01

Citations: 48

DOI: https://doi.org/10.1006/jdeq.2000.3908

View Publication

Locations

Journal of Differential Equations - View

Similar Works

Action	Title	Year	Authors
+	Singularities of systems of arbitrary equations	2000	A. D. Bruno
+	Singularities of algebraic equations	2000	A. D. Bruno
+	Singularities of polynomial differential systems	2021	Joan C. Artés Jaume Llibre Dana Schlomiuk Nicolae Vulpe
+	Singularities and differential equations	1996	Stanisław Janeczko Wojciech M. Zajączkowski Bogdan Ziemian
+	Resolving the singularities of differential equations	1985	Samir A. Khabbaz
+	Epilogue: Singularities of Differential Equations	2018	José Manuel Aroca Heisuke Hironaka J. L. Vicente
+ PDF Chat	Removable singularities of solutions of systems of linear differential equations	1975	Takahiro Kawai
+	Local analysis of singularities of an invertible system of ordinary differential equations	1995	A. D. Bryuno A. Soleev
+	Reconstruction formula for differential systems with a singularity	2021	M. Yu. Ignatyev
+	Singularities of Linear System Functions	1962
+	Singularities of differential equations and integrability.	1994	Robert Conte
+	A SURVEY ON SINGULARITIES OF SOLUTIONS FOR FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS (Singularity theory and Differential equations)	1999	周一泉屋
+	A SURVEY ON SINGULARITIES OF SOLUTIONS FOR FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS (Singularity theory and Differential equations)	1999	Shyūichi Izumiya
+	Singularities of Ordinary Linear Differential Equations and Integrability	1999	Jean Reignier
+ PDF Chat	Isolated singularities of solutions of quasi-linear equations	1965	James Serrin
+	Differential systems with irregular singularities	1997	Venkatesha Mathodu Murthy
+	Review of 'Singularities of Linear System Functions'	1963	W. Sam Adams
+	SINGULARITIES IN ELLIPTIC EQUATIONS	1962	L. Fox
+	Singularities of differential equations and complete integrability	2001	Tat Leung Yee
+ PDF Chat	A canonical form of a system of microdifferential equations with non-involutory characteristics and branching of singularities	1982	Toshinori �aku

Works That Cite This (43)

Action	Title	Year	Authors
+	Legacy of Jorge Sotomayor	2024	Ronaldo Garcia Luis Fernando Mello
+	Invariant Algebraic Surfaces and Impasses	2021	Paulo Ricardo da Silva Otávio Henrique Perez
+ PDF Chat	Resolution of singularities of 2-dimensional real analytic constrained differential systems	2022	Otávio Henrique Perez Paulo Ricardo da Silva
+ PDF Chat	Global dynamics of stationary solutions of the extended Fisher–Kolmogorov equation	2011	Jaume Llibre Marcelo Messias Paulo Ricardo da Silva
+	Analytic Classification of Foliations Induced by Germs of Holomorphic Vector Fields in ( ℂ n , 0 ) $(\mathbb {C}^{n},0)$ with Non-isolated Singularities	2019	Laura Ortiz-Bobadilla E. Rosales‐González Сергей Воронин
+	On solutions of singular differential equations of the second order	2020	Alexey O. Remizov
+	A geometric singular perturbation theory approach to constrained differential equations	2018	Pedro Toniol Cardin Marco Antônio Teixeira
+	The number of polynomial solutions of polynomial Riccati equations	2016	Armengol Gasull Joan Torregrosa Xiang Zhang
+	On the local classification of smooth maps induced by Newton's method	2005	Ricardo Riaza
+	The complex viewpoint for transverse impasse points of quasi-linear differential equations	2015	Gabriel Thomas

Works Cited by This (13)

Action	Title	Year	Authors
+	On Impasse Points of Quasilinear Differential-Algebraic Equations	1994	Patrick J. Rabier Werner C. Rheinboldt
+	Structural stability on manifolds with boundary	1973	Peter Percell
+	Constrained equations; a study of implicit differential equations and their discontinuous solutions	1976	Floris Takens
+	Local normal forms for constrained systems on 2-manifolds	1993	Michail Zhitomirskii
+	Modules of vector fields, differential forms and degenerations of differential systems	1996	Piotr Mormul Michail Zhitomirskii
+	Geometrical Methods in the Theory of Ordinary Differential Equations	1988	V. I. Arnold
+	Structural Stability of Constrained Polynomial Systems	1998	Jaume Llibre Jorge Sotomayor
+	Normal forms for constrained nonlinear differential equations. I. Theory	1988	Leon O. Chua Hiroe Oka
+ PDF Chat	Sur l'existence d'intégrales premières pour un germe de forme de Pfaff	1976	Robert Moussu
+	Differential forms and vector fields with a manifold of singular points	1993	Michail Zhitomirskii