Sebastian Walcher

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All published works

Action	Title	Year	Authors
+ PDF Chat	On elementary integrability of rational vector fields	2024	Colin Christopher Sebastian Walcher
+ PDF Chat	The Michaelis--Menten reaction at low substrate concentrations: Pseudo-first-order kinetics and conditions for timescale separation	2024	Justin Eilertsen Santiago Schnell Sebastian Walcher
+ PDF Chat	Rigorous estimates for the quasi-steady state approximation of the Michaelis–Menten reaction mechanism at low enzyme concentrations	2024	Justin Eilertsen Santiago Schnell Sebastian Walcher
+	Floquet-Like Theory and Gauge Transformations for General Smooth Dynamical Systems	2024	Giuseppe Gaeta Sebastian Walcher
+ PDF Chat	Natural Parameter Conditions for Singular Perturbations of Chemical and Biochemical Reaction Networks	2023	Justin Eilertsen Santiago Schnell Sebastian Walcher
+	Rigorous estimates for the quasi-steady state approximation of the Michaelis-Menten reaction mechanism at low enzyme concentrations	2023	Justin Eilertsen Santiago Schnell Sebastian Walcher
+	Liouvillian integrability of three dimensional vector fields	2023	Waleed Aziz Colin Christopher Chara Pantazi Sebastian Walcher
+ PDF Chat	Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	2022	Elisenda Feliu Sebastian Walcher Carsten Wiuf
+ PDF Chat	On the anti-quasi-steady-state conditions of enzyme kinetics	2022	Justin Eilertsen Santiago Schnell Sebastian Walcher
+ PDF Chat	Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	2022	Elisenda Feliu Christian Lax Sebastian Walcher Carsten Wiuf
+	Natural parameter conditions for singular perturbations of chemical and biochemical reaction networks	2022	Justin Eilertsen Santiago Schnell Sebastian Walcher
+ PDF Chat	On the anti-quasi-steady-state conditions of enzyme kinetics	2021	Justin Eilertsen Santiago Schnell Sebastian Walcher
+ PDF Chat	Invariant Algebraic Surfaces of Polynomial Vector Fields in Dimension Three	2021	Niclas Kruff Jaume Llibre Chara Pantazi Sebastian Walcher
+ PDF Chat	Algorithmic Reduction of Biological Networks with Multiple Time Scales	2021	Niclas Kruff Christoph Lüders Ovidiu Radulescu Thomas Sturm Sebastian Walcher
+	Polynomial differential equations over the quaternions	2021	Sebastian Walcher Xiang Zhang
+	On the quasi-steady-state approximation in an open Michaelis--Menten reaction mechanism.	2021	Justin Eilertsen Marc R. Roussel Santiago Schnell Sebastian Walcher
+	On the quasi-steady-state approximation in an open Michaelis–Menten reaction mechanism	2021	Justin Eilertsen Marc R. Roussel Santiago Schnell Sebastian Walcher
+	On the anti-quasi-steady-state conditions of enzyme kinetics	2021	Justin Eilertsen Santiago Schnell Sebastian Walcher
+	On the quasi-steady-state approximation in an open Michaelis--Menten reaction mechanism	2021	Justin Eilertsen Marc R. Roussel Santiago Schnell Sebastian Walcher
+	Higher order normal modes	2020	Giuseppe Gaeta Sebastian Walcher
+ PDF Chat	Attracting and Natural Invariant Varieties for Polynomial Vector Fields and Control Systems	2020	Niclas Kruff Christian Schilli Sebastian Walcher Eva Zerz
+ PDF Chat	Tikhonov–Fenichel Reduction for Parameterized Critical Manifolds with Applications to Chemical Reaction Networks	2020	Elisenda Feliu Niclas Kruff Sebastian Walcher
+	Centralizers and normalizers of local analytic and formal vector fields	2020	Niclas Kruff Sebastian Walcher Xiang Zhang
+ PDF Chat	Higher order normal modes	2020	Giuseppe Gaeta Sebastian Walcher
+	Higher order normal modes	2020	Giuseppe Gaeta Sebastian Walcher
+	Symmetries of Ordinary Differential Equations: A Short Introduction	2019	Sebastian Walcher
+ PDF Chat	Singular perturbations and scaling	2019	Christian Lax Sebastian Walcher
+	Invariant algebraic surfaces of polynomial vector fields in dimension three.	2019	Niclas Kruff Jaume Llibre Chara Pantazi Sebastian Walcher
+	On planar polynomial vector fields with elementary first integrals	2019	Colin Christopher Jaume Llibre Chara Pantazi Sebastian Walcher
+ PDF Chat	Coordinate-independent criteria for Hopf bifurcations	2019	Niclas Kruff Sebastian Walcher
+	Coordinate-independent singular perturbation reduction for systems with three time scales	2019	Niclas Kruff Sebastian Walcher
+	Entwicklung und Evaluation von Unterrichtsmaterial zu Data Science und mathematischer Modellierung mit Schülerinnen und Schülern	2019	Maike Sube Martin Frank Sebastian Walcher
+	Quasi-steady state and singular perturbation reduction for reaction networks with non-interacting species	2019	Elisenda Feliu Christian Lax Sebastian Walcher Carsten Wiuf
+	Invariant algebraic surfaces of polynomial vector fields in dimension three	2019	Niclas Kruff Jaume Llibre Chara Pantazi Sebastian Walcher
+	Symmetries of Ordinary Differential Equations: A Short Introduction	2019	Sebastian Walcher
+ PDF Chat	Hamiltonian Symmetry Reduction via Localizations: Theory and Application to a Barbell System	2018	Jürgen Scheurle Sebastian Walcher
+ PDF Chat	Eigenvectors of Tensors—A Primer	2018	Sebastian Walcher
+	The Rosenzweig–MacArthur system via reduction of an individual based model	2018	Niclas Kruff Christian Lax Volkmar Liebscher Sebastian Walcher
+ PDF Chat	Quasi-steady state reduction for the Michaelis–Menten reaction–diffusion system	2018	Martin Frank Christian Lax Sebastian Walcher Olaf Wittich
+	Local invariant sets of analytic vector fields	2018	Niclas Kruff Eva Zerz Sebastian Walcher
+ PDF Chat	A "barbell" in a central force field: A case study in symmetry reduction	2017	Jürgen Scheurle Sebastian Walcher
+	Coordinate-independent criteria for Hopf bifurcations	2017	Niclas Kruff Sebastian Walcher
+ PDF Chat	Theta functions on tube domains	2017	Josef F. Dorfmeister Sebastian Walcher
+ PDF Chat	A Coordinate-Independent Version of Hoppensteadt’s Convergence Theorem	2017	Christian Lax Katrin Seliger Sebastian Walcher
+	Coordinate-independent criteria for Hopf bifurcations	2017	Niclas Kruff Sebastian Walcher
+ PDF Chat	Classical quasi-steady state reduction—A mathematical characterization	2016	Alexandra Goeke Sebastian Walcher Eva Zerz
+	5 Eulersche Exponentialfunktion	2016	Erhard Cramer Udo Kamps Jessica Lehmann Sebastian Walcher
+	Orbit space reduction and localizations	2016	Raphael Schroeders Sebastian Walcher
+	Controlled and conditioned invariant varieties for polynomial control systems	2016	Christian Schilli Eva Zerz Sebastian Walcher
+	nD methods for 1D parameter-dependent systems	2015	Eva Zerz Sebastian Walcher
+	Rekonstruktion von 3D-Punkten aus Kamerabildern : eine anwendungsgeleitete Lernumgebung an der Schnittstelle von analytischer Geometrie der gymnasialen Oberstufe und elementaren Ideen der linearen Algebra	2015	Andrea Offergeld Sebastian Walcher Aloys Krieg
+	Modules of higher order invariants	2014	Frank D. Grosshans Sebastian Walcher
+	Side conditions for ordinary differential equations	2014	Giampaolo Cicogna Giuseppe Gaeta Sebastian Walcher
+ PDF Chat	Morphisms and inverse problems for Darboux integrating factors	2013	Jaume Llibre Chara Pantazi Sebastian Walcher
+	Local Darboux first integrals of analytic differential systems	2013	Jaume Llibre Sebastian Walcher Xiang Zhang
+ PDF Chat	Motion in a Symmetric Potential on the Hyperbolic Plane	2013	Manuele Santoprete Jürgen Scheurle Sebastian Walcher
+ PDF Chat	Dynamical systems and σ-symmetries	2013	Giampaolo Cicogna Giuseppe Gaeta Sebastian Walcher
+	Convergence of normal form transformations: The role of symmetries	2013	Giampaolo Cicogna Sebastian Walcher
+	A note on global asymptotic stability of nonautonomous master equations	2013	Christian Lax Sebastian Walcher
+ PDF Chat	A generalization of λ-symmetry reduction for systems of ODEs: σ-symmetries	2012	Giampaolo Cicogna Giuseppe Gaeta Sebastian Walcher
+	Algebraic structures and differential equations	2012	Sebastian Walcher
+ PDF Chat	Inverse Problems in Darboux’ Theory of Integrability	2012	Colin Christopher Jaume Llibre Chara Pantazi Sebastian Walcher
+	Orbital reducibility and a generalization of lambda symmetries	2012	Giampaolo Cicogna Giuseppe Gaeta Sebastian Walcher
+ PDF Chat	Invariant sets forced by symmetry	2012	Frank D. Grosshans Jürgen Scheurle Sebastian Walcher
+	Morphisms and inverse problems	2011	Colin Christopher Jaume Llibre Chara Pantazi Sebastian Walcher
+	First integrals of local analytic differential systems	2011	Jaume Llibre Chara Pantazi Sebastian Walcher
+	Perturbative Expansions, Convergence of	2011	Sebastian Walcher
+	Controlled Invariant Hypersurfaces of Polynomial Control Systems	2011	Eva Zerz Sebastian Walcher
+	Some inverse problems	2011	Colin Christopher Jaume Llibre Chara Pantazi Sebastian Walcher
+	Mini-Workshop: Algebraic and Analytic Techniques for Polynomial Vector Fields	2011	Armengol Gasull Julia Hartmann Jaume Llibre Sebastian Walcher
+ PDF Chat	Darboux integrating factors: Inverse problems	2010	Colin Christopher Jaume Llibre Chara Pantazi Sebastian Walcher
+	Schiebereien mit Autos, Münzen und Kugeln	2010	Ferdinand Verhulst Sebastian Walcher
+	Nicht-Euklidische Geometrie und ihre Geschichte	2010	Ferdinand Verhulst Sebastian Walcher
+	Eine kühle Sicht der Wahrheit	2010	Ferdinand Verhulst Sebastian Walcher
+	Das Zebra-Buch zur Geometrie	2010	Ferdinand Verhulst Sebastian Walcher
+	Lie algebras of vector fields : a survey	2010	Jan Draisma Armengol Gasull Julia Hartmann Jaume Llibre Sebastian Walcher
+	Strong monotonicity for analytic ordinary differential equations	2009	Sebastian Walcher Christian Zanders
+ PDF Chat	Inverse problems for invariant algebraic curves: explicit computations	2009	Colin Christopher Jaume Llibre Chara Pantazi Sebastian Walcher
+	Perturbative Expansions, Convergence of	2009	Sebastian Walcher
+	Convergence of Perturbative Expansions	2009	Sebastian Walcher
+	Populationsmodelle	2008	Bernd Gotzen Volkmar Liebscher Sebastian Walcher
+ PDF Chat	"Lieve Maria" Niederländische Studenten beschweren sich über den Mathematik-Schulunterricht	2008	Aloys Krieg Ferdinand Verhulst Sebastian Walcher
+	Reduction and reconstruction for symmetric ordinary differential equations	2008	Giuseppe Gaeta Frank D. Grosshans Jürgen Scheurle Sebastian Walcher
+ PDF Chat	Inverse problems for multiple invariant curves	2007	Colin Christopher Jaume Llibre Chara Pantazi Sebastian Walcher
+	Quasi-steady state in the Michaelis–Menten system	2006	Lena Noethen Sebastian Walcher
+	Reducible Ordinary Differential Equations	2006	K. P. Hadeler Sebastian Walcher
+	On Normal Form Computations	2006	Jürgen Scheurle Sebastian Walcher
+	Embedding and splitting ordinary differential equations in normal form	2005	Giuseppe Gaeta Sebastian Walcher
+	Normal Forms of Maps: Formal and Algebraic Aspects	2005	Todor Gramchev Sebastian Walcher
+ PDF Chat	Dimension Increase and Splitting for Poincaré-Dulac Normal Forms	2005	Giuseppe Gaeta Sebastian Walcher
+	On comparison systems for ordinary differential equations	2004	Markus Kirkilionis Sebastian Walcher
+	Practical normal form computations for vector fields	2004	Sebastian Mayer Jürgen Scheurle Sebastian Walcher
+	Symmetries and convergence of normal form transformations	2004	Sebastian Walcher
+	Local integrating factors.	2003	Sebastian Walcher
+	ON THE ZEROS OF POLYNOMIALS OVER QUATERNIONS	2002	S. Pumplün Sebastian Walcher
+	Lie algebras with finite-dimensional polynomial centralizer	2002	Giuseppe Gaeta Sebastian Walcher
+	None	2002	Giampaolo Cicogna Sebastian Walcher
+	On Cooperative Systems with Respect to Arbitrary Orderings	2001	Sebastian Walcher
+	On the mean value of probability measures on circular graphs	2001	Volkmar Liebscher Sebastian Walcher
+	Linear Lie algebras with finite dimensional centralizers	2001	Giuseppe Gaeta Sebastian Walcher
+	On the Poincaré Problem	2000	Sebastian Walcher
+	Plane polynomial vector fields with prescribed invariant curves	2000	Sebastian Walcher
+	On Convergent Normal Form Transformations in Presence of Symmetries	2000	Sebastian Walcher
+	On algebras of rank three	1999	Sebastian Walcher
+	Multi-parameter symmetries of first order ordinary differential equations.	1999	Sebastian Walcher
+ PDF Chat	On a Class of Additive Group Actions on Affine Three-Space	1998	David R. Finston Sebastian Walcher
+	Multiplier systems for the modular group on the 27-dimensional exceptional domain	1998	Aloys Krieg Sebastian Walcher
+	On Ordinary Differential Equations Admitting a Finite Linear Group of Symmetries	1997	Michael Kinyon Sebastian Walcher
+	Projections of Polynomial Vector Fields and the Poincaré Sphere	1997	Helmut Röhrl Sebastian Walcher
+	Centralizers of locally nilpotent derivations	1997	David R. Finston Sebastian Walcher
+	On Sums of Vector Fields	1997	Sebastian Walcher
+ PDF Chat	On Monocomposition Algebras	1995	Sebastian Walcher
+	A radical for arbitrary algebras	1995	Helmut Röhrl Sebastian Walcher
+ PDF Chat	On monocomposition algebras	1995	Sebastian Walcher
+	Algebras of Rank Three	1994	Sebastian Walcher
+	On a jordan subalgebra of commutative algebras	1994	Michael Roth Sebastian Walcher
+	On Transformations into Normal Form	1993	Sebastian Walcher
+	Bernoulli algebras	1993	H. Gradl Sebastian Walcher
+	On continuous time models in genetic and Bernstein algebras	1992	H. Gradl Sebastian Walcher
+ PDF Chat	On Bernstein algebras which are train algebras	1992	Sebastian Walcher
+	On a class of inversions	1992	H. Gradl Sebastian Walcher
+	Algebras which satisfy a train equation for the first three plenary powers	1991	Sebastian Walcher
+	On differential equations in normal form	1991	Sebastian Walcher
+	Birational maps and a generalization of power-associative algebras	1991	Rolf Niemczyk Sebastian Walcher
+	Bernstein algebras which are Jordan algebras	1988	Sebastian Walcher
+	Über homogene nilpotente Polynome	1986	Sebastian Walcher
+	�ber polynomiale, insbesondere Riccatische, Differentialgleichungen mit Fundamentall�sungen	1986	Sebastian Walcher
+	A characterization of regular jordan pairs and its application to riccati differential equations	1986	Sebastian Walcher

Common Coauthors

Coauthor	Papers Together
Jaume Llibre	15
Niclas Kruff	13
Giuseppe Gaeta	13
Chara Pantazi	13
Santiago Schnell	11
Justin Eilertsen	11
Colin Christopher	9
Jürgen Scheurle	7
Christian Lax	7
Giampaolo Cicogna	6
Eva Zerz	6
Ferdinand Verhulst	5
Elisenda Feliu	4
Aloys Krieg	3
Frank D. Grosshans	3
Marc R. Roussel	3
Carsten Wiuf	3
H. Gradl	3
Volkmar Liebscher	3
Xiang Zhang	3
David R. Finston	2
Martin Frank	2
Armengol Gasull	2
Helmut Röhrl	2
Julia Hartmann	2
Christian Schilli	2
K. P. Hadeler	1
Christian Zanders	1
Raphael Schroeders	1
Todor Gramchev	1
Bernd Gotzen	1
Sebastian Mayer	1
Josef Dorfmeister	1
Michael Roth	1
Udo Kamps	1
Alexandra Goeke	1
Thomas Sturm	1
Ovidiu Radulescu	1
Lena Noethen	1
Manuele Santoprete	1
Waleed Aziz	1
Maike Sube	1
Katrin Seliger	1
Michael Kinyon	1
Olaf Wittich	1
Jessica Lehmann	1
Rolf Niemczyk	1
Andrea Offergeld	1
Markus Kirkilionis	1
Erhard Cramer	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On differential equations in normal form	1991	Sebastian Walcher	24
+	Local Methods in Nonlinear Differential Equations	1989	A. D. Bruno	21
+	Geometric singular perturbation theory for ordinary differential equations	1979	Neil Fenichel	18
+	On the Poincaré Problem	2000	Sebastian Walcher	16
+ PDF Chat	Local Theory of Nonlinear Analytic Ordinary Differential Equations	1979	Yuri N. Bibikov	15
+ PDF Chat	Applications of lie groups to differential equations	1990	Peter J. Olver	14
+	Basic Algebraic Geometry 2	1994	Igor R. Shafarevich	14
+ PDF Chat	Classical quasi-steady state reduction—A mathematical characterization	2016	Alexandra Goeke Sebastian Walcher Eva Zerz	11
+	None	2002	Giampaolo Cicogna Sebastian Walcher	10
+	On Transformations into Normal Form	1993	Sebastian Walcher	10
+	Plane polynomial vector fields with prescribed invariant curves	2000	Sebastian Walcher	9
+	Multi-parameter symmetries of first order ordinary differential equations.	1999	Sebastian Walcher	9
+	On the Convergence of Normalizing Transformations in the Presence of Symmetries	1996	Giampaolo Cicogna	9
+	Geometrical Methods in the Theory of Ordinary Differential Equations	1988	V. I. Arnold	9
+	Applications of Lie Groups to Differential Equations	1986	Peter J. Olver	9
+	A simple global characterization for normal forms of singular vector fields	1987	Christian Elphick E. Tirapegui Marc Brächet P. Coullet Gérard Iooss	8
+ PDF Chat	Elementary first integrals of differential equations	1983	M. J. Prelle Michael F. Singer	8
+ PDF Chat	Darboux integrability and invariant algebraic curves for planar polynomial systems	2002	Colin Christopher Jaume Llibre Chara Pantazi Xiang Zhang	8
+	Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics	2010	Ferdinand Verhulst	7
+	Basic algebraic geometry	1976	G.-C Rota	7
+	Introduction to Commutative Algebra and Algebraic Geometry	2012	Ernst Kunz	7
+ PDF Chat	Inverse problems for invariant algebraic curves: explicit computations	2009	Colin Christopher Jaume Llibre Chara Pantazi Sebastian Walcher	7
+	On Convergent Normal Form Transformations in Presence of Symmetries	2000	Sebastian Walcher	7
+	Smooth functions invariant under the action of a compact lie group	1975	Gerald W. Schwarz	7
+	A theorem on non-associative algebras and its application to differential equations	1977	Helmut R�hrl	6
+ PDF Chat	Inverse problems for multiple invariant curves	2007	Colin Christopher Jaume Llibre Chara Pantazi Sebastian Walcher	6
+ PDF Chat	Equivariant dynamical systems	1980	M. J. Field	6
+	Linear Algebraic Groups	1975	James E. Humphreys	6
+ PDF Chat	Convergence versus integrability in Poincaré-Dulac normal form	2002	Nguyen Tien Zung	6
+ PDF Chat	Classification analytique des équations différentielles non linéaires résonnantes du premier ordre	1983	Jean Martinet Jean-Pierre Ramis	6
+	Rapidly convergent iteration method for simultaneous normal forms of commuting maps	1999	Todor Gramchev Masafumi Yoshino	6
+ PDF Chat	Singular complete integrability	2000	Laurent Stolovitch	6
+	Topics in Bifurcation Theory and Applications	1992	Gérard Iooss Moritz Adelmeyer	6
+	Contributions to the method of Lie series	1967	Wolfgang Gröbner H. Knapp	6
+ PDF Chat	Fonctions différentiables invariantes sous l'opération d'un groupe réductif	1976	Domingo Morales	6
+	Methods and Applications of Singular Perturbations	2005	Ferdinand Verhulst	5
+	Local invariant sets of analytic vector fields	2018	Niclas Kruff Eva Zerz Sebastian Walcher	5
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	5
+	Convergence of Birkhoff normal forms for integrable systems	1989	Hidekazu Ito	5
+ PDF Chat	Singularités C∞ en Présence de Symétrie	1976	Valentin Poènaru	5
+ PDF Chat	Holomorphic foliations in ${\Bbb C}{\Bbb P}(2)$ having an invariant algebraic curve	1991	Dominique Cerveau Alcides Lins Neto	5
+ PDF Chat	Singular perturbations and scaling	2019	Christian Lax Sebastian Walcher	5
+ PDF Chat	Convergent normal forms of symmetric dynamical systems	1997	Giampaolo Cicogna	5
+	Singularities and Groups in Bifurcation Theory	1988	Martin Golubitsky Ian Stewart David G. Schaeffer	5
+	On the zeros of polynomials over arbitrary finite dimensional algebras	1978	Helmut R�hrl	5
+	An Introduction to Nonassociative Algebras	1966	R. D. Schafer	5
+	Projections of Polynomial Vector Fields and the Poincaré Sphere	1997	Helmut Röhrl Sebastian Walcher	5
+ PDF Chat	Invariant sets forced by symmetry	2012	Frank D. Grosshans Jürgen Scheurle Sebastian Walcher	5
+	Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance case	1992	Hidekazu Ito	5
+ PDF Chat	Liouvillian first integrals of differential equations	1992	Michael F. Singer	5