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Author ID: singer.david-a Recent zbMATH articles by "Singer, David A."
Published as: Singer, David A.; Singer, David; Singer, D.
External Links: MGP
Documents Indexed: 39 Publications since 1974, including 1 Book
1 Further Contribution
Co-Authors: 13 Co-Authors with 32 Joint Publications
231 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 773 times in 563 Documents Cited by Year
Stable orbits and bifurcation of maps of the interval. Zbl 0391.58014
Singer, David
189
1978
The total squared curvature of closed curves. Zbl 0554.53013
Langer, Joel; Singer, David A.
154
1984
Knotted elastic curves in \({\mathbb{R}}^ 3\). Zbl 0595.53001
Langer, Joel; Singer, David A.
66
1984
Lagrangian aspects of the Kirchhoff elastic rod. Zbl 0859.73040
Langer, Joel; Singer, David A.
65
1996
Curve straightening and a minimax argument for closed elastic curves. Zbl 0561.53004
Langer, Joel; Singer, David A.
42
1985
Curves in the hyperbolic plane and mean curvature of tori in 3-space. Zbl 0554.53014
Langer, Joel; Singer, David
38
1984
Curve-straightening in Riemannian manifolds. Zbl 0653.53032
Langer, Joel; Singer, David A.
30
1987
Knot types, homotopies and stability of closed elastic rods. Zbl 1036.53001
Ivey, Thomas A.; Singer, David A.
27
1999
Scattering of geodesic fields, I. Zbl 0399.58011
Gluck, Herman; Singer, David
27
1978
A new structural framework for parity equation-based failure detection and isolation. Zbl 0701.90039
Gertler, Janos; Singer, David
20
1990
Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres. Zbl 0965.53040
Barros, Manuel; Garay, Oscar J.; Singer, David A.
16
1999
Foci and foliations of real algebraic curves. Zbl 1150.14005
Langer, Joel C.; Singer, David A.
10
2007
Liouville integrability of geometric variational problems. Zbl 0819.58017
Langer, J.; Singer, D.
10
1994
Scattering of geodesic fields. II. Zbl 0436.53047
Gluck, Herman; Singer, David A.
8
1979
Curves whose curvature depends on distance from the origin. Zbl 1037.53500
Singer, David A.
7
1999
The location of critical points of finite Blaschke products. Zbl 1093.53019
Singer, David A.
7
2006
Reflections on the lemniscate of Bernoulli: the forty-eight faces of a mathematical gem. Zbl 1227.14033
Langer, Joel C.; Singer, David A.
6
2010
The converse to the Gauss-Bonnet theorem in PL. Zbl 0294.57014
Gluck, Herman; Krigelman, Kenneth; Singer, David
6
1974
When is a curve an octahedron? Zbl 1206.53006
Langer, Joel C.; Singer, David A.
5
2010
Diffeomorphisms of the circle and hyperbolic curvature. Zbl 1039.53020
Singer, David A.
4
2001
Deformations of geodesic fields. Zbl 0334.53047
Gluck, Herman; Singer, David
4
1976
Numerical approximation of the field of values of the inverse of a large matrix. Zbl 1299.65063
Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F.
4
2013
The trefoil. Zbl 1312.14084
Langer, Joel C.; Singer, David A.
4
2014
Diffeomorphisms of the circle and geodesic fields on Riemann surfaces of genus one. Zbl 0508.58010
Langer, Joel; Singer, David A.
3
1982
The existence of nontriangulable cut loci. Zbl 0338.53045
Singer, David; Gluck, Herman
3
1976
A new flow on starlike curves in \(\mathbb{R}^3\). Zbl 1007.53007
Huang, Rongpei; Singer, David A.
3
2002
Preassigning curvature of polyhedra homeomorphic to the two-sphere. Zbl 0291.57009
Singer, David
3
1974
Investigations in the metric theory of surfaces. Collection of articles. (Issledovaniya po metricheskoj teorii poverkhnostej. Sbornik statej). Transl. from the English and from the French by I.Kh.Sabitov. Zbl 0483.53001
2
1980
Geometry: plane and fancy. Zbl 0893.51002
Singer, David A.
2
1998
Flat curves. Zbl 1388.14093
Langer, Joel C.; Singer, David A.
2
2017
Subdividing the trefoil by origami. Zbl 1311.51013
Langer, Joel C.; Singer, David A.
2
2013
The lemniscatic chessboard. Zbl 1284.33015
Langer, Joel C.; Singer, David A.
2
2011
Isometries of the plane. Zbl 0844.51013
Singer, David A.
1
1995
Geodesic fields and construction of nontriangulable cut loci. Zbl 0332.53027
Gluck, Herman; Singer, David
1
1976
Normal forms in Lorentzian spaces. Zbl 0867.15007
Singer, David A.; Steinberg, Daniel H.
1
1994
Eigenvalue inclusion regions from inverses of shifted matrices. Zbl 1176.15022
Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F.
1
2008
Flat curves. Zbl 1388.14093
Langer, Joel C.; Singer, David A.
2
2017
The trefoil. Zbl 1312.14084
Langer, Joel C.; Singer, David A.
4
2014
Numerical approximation of the field of values of the inverse of a large matrix. Zbl 1299.65063
Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F.
4
2013
Subdividing the trefoil by origami. Zbl 1311.51013
Langer, Joel C.; Singer, David A.
2
2013
The lemniscatic chessboard. Zbl 1284.33015
Langer, Joel C.; Singer, David A.
2
2011
Reflections on the lemniscate of Bernoulli: the forty-eight faces of a mathematical gem. Zbl 1227.14033
Langer, Joel C.; Singer, David A.
6
2010
When is a curve an octahedron? Zbl 1206.53006
Langer, Joel C.; Singer, David A.
5
2010
Eigenvalue inclusion regions from inverses of shifted matrices. Zbl 1176.15022
Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F.
1
2008
Foci and foliations of real algebraic curves. Zbl 1150.14005
Langer, Joel C.; Singer, David A.
10
2007
The location of critical points of finite Blaschke products. Zbl 1093.53019
Singer, David A.
7
2006
A new flow on starlike curves in \(\mathbb{R}^3\). Zbl 1007.53007
Huang, Rongpei; Singer, David A.
3
2002
Diffeomorphisms of the circle and hyperbolic curvature. Zbl 1039.53020
Singer, David A.
4
2001
Knot types, homotopies and stability of closed elastic rods. Zbl 1036.53001
Ivey, Thomas A.; Singer, David A.
27
1999
Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres. Zbl 0965.53040
Barros, Manuel; Garay, Oscar J.; Singer, David A.
16
1999
Curves whose curvature depends on distance from the origin. Zbl 1037.53500
Singer, David A.
7
1999
Geometry: plane and fancy. Zbl 0893.51002
Singer, David A.
2
1998
Lagrangian aspects of the Kirchhoff elastic rod. Zbl 0859.73040
Langer, Joel; Singer, David A.
65
1996
Isometries of the plane. Zbl 0844.51013
Singer, David A.
1
1995
Liouville integrability of geometric variational problems. Zbl 0819.58017
Langer, J.; Singer, D.
10
1994
Normal forms in Lorentzian spaces. Zbl 0867.15007
Singer, David A.; Steinberg, Daniel H.
1
1994
A new structural framework for parity equation-based failure detection and isolation. Zbl 0701.90039
Gertler, Janos; Singer, David
20
1990
Curve-straightening in Riemannian manifolds. Zbl 0653.53032
Langer, Joel; Singer, David A.
30
1987
Curve straightening and a minimax argument for closed elastic curves. Zbl 0561.53004
Langer, Joel; Singer, David A.
42
1985
The total squared curvature of closed curves. Zbl 0554.53013
Langer, Joel; Singer, David A.
154
1984
Knotted elastic curves in \({\mathbb{R}}^ 3\). Zbl 0595.53001
Langer, Joel; Singer, David A.
66
1984
Curves in the hyperbolic plane and mean curvature of tori in 3-space. Zbl 0554.53014
Langer, Joel; Singer, David
38
1984
Diffeomorphisms of the circle and geodesic fields on Riemann surfaces of genus one. Zbl 0508.58010
Langer, Joel; Singer, David A.
3
1982
Investigations in the metric theory of surfaces. Collection of articles. (Issledovaniya po metricheskoj teorii poverkhnostej. Sbornik statej). Transl. from the English and from the French by I.Kh.Sabitov. Zbl 0483.53001
2
1980
Scattering of geodesic fields. II. Zbl 0436.53047
Gluck, Herman; Singer, David A.
8
1979
Stable orbits and bifurcation of maps of the interval. Zbl 0391.58014
Singer, David
189
1978
Scattering of geodesic fields, I. Zbl 0399.58011
Gluck, Herman; Singer, David
27
1978
Deformations of geodesic fields. Zbl 0334.53047
Gluck, Herman; Singer, David
4
1976
The existence of nontriangulable cut loci. Zbl 0338.53045
Singer, David; Gluck, Herman
3
1976
Geodesic fields and construction of nontriangulable cut loci. Zbl 0332.53027
Gluck, Herman; Singer, David
1
1976
The converse to the Gauss-Bonnet theorem in PL. Zbl 0294.57014
Gluck, Herman; Krigelman, Kenneth; Singer, David
6
1974
Preassigning curvature of polyhedra homeomorphic to the two-sphere. Zbl 0291.57009
Singer, David
3
1974
all top 5

Cited by 681 Authors

23 Garay, Oscar Jesus
22 Pámpano, Álvaro
20 Barros, Manuel
13 Arroyo, Josu J.
12 Cánovas, Jose S.
12 Langer, Joel C.
11 Singer, David A.
10 Ferrández, Angel
10 Liz, Eduardo
9 El-Morshedy, Hassan A.
9 Franco Leis, Daniel
9 Lucas, Pascual
9 Tanaka, Minoru
8 Castro, Ildefonso
8 Kawakubo, Satoshi
8 Ruiz-Herrera, Alfonso
7 Braverman, Elena
7 Dall’Acqua, Anna
7 Munoz Guillermo, Maria
7 Nusse, Helena Engelina
6 Fernandez Andres, Manuel
6 Grunau, Hans-Christoph
6 Itoh, Jin-ichi
6 Lin, Chun-Chi
6 Sinclair, Robert
5 Cabrerizo, Jose Luis
5 Castro-Infantes, Ildefonso
5 de la Llave, Rafael
5 Huang, Rongpei
5 Jurdjevic, Velimir
5 Linnér, Anders
5 Mencía, José J.
5 Musso, Emilio
5 Pinkall, Ulrich
5 Pozzi, Paola
5 Reiter, Philipp
5 Rodkina, Alexandra
5 Segura, Juan
5 Wheeler, Glen E.
4 Boer, Martin P.
4 Castro-Infantes, Jesús
4 Cuomo, Massimo
4 de Melo, Welington
4 Greco, Leopoldo
4 Hebda, James J.
4 Holmes, Philip J.
4 Kooi, Bob W.
4 López Camino, Rafael
4 Meroño Bayo, Miguel Angel
4 Okabe, Shinya
4 Palmer, Bennett
4 Perán, Juan
4 Perevaryukha, Andreĭ Yur’evich
4 Pluda, Alessandra
4 Schwetlick, Hartmut R.
4 Tresser, Charles
4 Tükel, Gözde Özkan
4 Vîlcu, Costin
4 von der Mosel, Heiko
3 Bartels, Sören
3 Bonnard, Bernard
3 Caillau, Jean-Baptiste
3 Clauvelin, Nicolas
3 Deckelnick, Klaus
3 Eckmann, Jean-Pierre
3 Eichmann, Sascha
3 Fried, Eliot
3 Garcke, Harald
3 Gebhardt, Cristian Guillermo
3 Gluck, Herman
3 Gorkin, Pamela B.
3 Gruber, Anthony
3 Ivey, Thomas A.
3 Jiménez López, Víctor
3 Lyubich, Mikhail
3 Marheineke, Nicole
3 Misiurewicz, Michał
3 Novaga, Matteo
3 Oliveira, Henrique M.
3 Perline, Ron
3 Romero, Ignacio
3 Saker, Samir H.
3 Spener, Adrian
3 Tabachnikov, Serge L.
3 Toda, Magdalena
3 Trofimchuk, Sergei I.
3 Turhan, Tunahan
3 Viana, Marcelo
3 Wang, Peng
3 Wegener, Raimund
3 Yücesan, Ahmet
2 Akamatsu, Toyohiro
2 Arroja Neves, André
2 Audoly, Basile
2 Basseville, Michèle
2 Blatt, Simon
2 Bor, Gil
2 Buchner, Michael A.
2 Collet, Pierre
2 Dahhou, Boutaieb
...and 581 more Authors
all top 5

Cited in 218 Serials

21 Journal of Mathematical Analysis and Applications
18 Journal of Geometry and Physics
12 Communications in Mathematical Physics
12 Transactions of the American Mathematical Society
12 Physica D
10 Journal of Difference Equations and Applications
9 Tôhoku Mathematical Journal. Second Series
9 Journal of Elasticity
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Journal of Mathematical Physics
7 Chaos, Solitons and Fractals
7 Proceedings of the American Mathematical Society
7 Differential Geometry and its Applications
7 Journal of Nonlinear Science
7 Calculus of Variations and Partial Differential Equations
6 Computer Methods in Applied Mechanics and Engineering
6 Journal of Differential Equations
6 Mathematische Annalen
6 Ergodic Theory and Dynamical Systems
5 Journal of Mathematical Biology
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Inventiones Mathematicae
5 Mathematische Zeitschrift
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Turkish Journal of Mathematics
5 Discrete and Continuous Dynamical Systems. Series B
4 Archive for Rational Mechanics and Analysis
4 International Journal of Control
4 Journal of Statistical Physics
4 Rocky Mountain Journal of Mathematics
4 Publications Mathématiques
4 Journal of the Mathematical Society of Japan
4 Results in Mathematics
4 Annals of Global Analysis and Geometry
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 The Journal of Geometric Analysis
4 Journal of Dynamics and Differential Equations
4 Chaos
4 Nonlinear Analysis. Real World Applications
4 Milan Journal of Mathematics
4 Mediterranean Journal of Mathematics
4 Advances in Calculus of Variations
4 Nonlinear Analysis. Theory, Methods & Applications
3 International Journal of Systems Science
3 Journal of Computational Physics
3 Mathematical Biosciences
3 Nonlinearity
3 Applied Mathematics and Computation
3 Automatica
3 Journal of Geometry
3 Manuscripta Mathematica
3 Numerische Mathematik
3 Systems & Control Letters
3 Journal of Economic Dynamics & Control
3 Linear Algebra and its Applications
3 Discrete and Continuous Dynamical Systems
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Nonlinear Dynamics
3 Conformal Geometry and Dynamics
3 Communications in Nonlinear Science and Numerical Simulation
3 Bulletin of the American Mathematical Society
3 Journal of Physics A: Mathematical and Theoretical
3 Advances in Mathematical Physics
3 Geometric Flows
2 Modern Physics Letters A
2 Acta Mechanica
2 American Mathematical Monthly
2 Applicable Analysis
2 Bulletin of the Australian Mathematical Society
2 Computers & Mathematics with Applications
2 Discrete Mathematics
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Journal of the Franklin Institute
2 Journal of the Mechanics and Physics of Solids
2 Mathematical Methods in the Applied Sciences
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Bulletin of Mathematical Biology
2 Acta Mathematica
2 Advances in Mathematics
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Glasgow Mathematical Journal
2 Journal of Economic Theory
2 Mathematics and Computers in Simulation
2 Theoretical Population Biology
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Applicandae Mathematicae
2 Discrete & Computational Geometry
2 Computational Mechanics
2 Applied Mathematics Letters
2 Asymptotic Analysis
2 Applied Mathematical Modelling
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Journal of Knot Theory and its Ramifications
2 Experimental Mathematics
2 Russian Journal of Mathematical Physics
2 European Journal of Control
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Lobachevskii Journal of Mathematics
...and 118 more Serials
all top 5

Cited in 51 Fields

230 Differential geometry (53-XX)
168 Dynamical systems and ergodic theory (37-XX)
81 Calculus of variations and optimal control; optimization (49-XX)
71 Mechanics of deformable solids (74-XX)
58 Partial differential equations (35-XX)
58 Biology and other natural sciences (92-XX)
54 Global analysis, analysis on manifolds (58-XX)
41 Ordinary differential equations (34-XX)
41 Difference and functional equations (39-XX)
33 Systems theory; control (93-XX)
27 Numerical analysis (65-XX)
20 Manifolds and cell complexes (57-XX)
18 Functions of a complex variable (30-XX)
16 Mechanics of particles and systems (70-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Real functions (26-XX)
12 Geometry (51-XX)
11 Algebraic geometry (14-XX)
11 Fluid mechanics (76-XX)
9 Special functions (33-XX)
9 Convex and discrete geometry (52-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Measure and integration (28-XX)
8 Operator theory (47-XX)
8 Relativity and gravitational theory (83-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 General topology (54-XX)
7 Probability theory and stochastic processes (60-XX)
7 Computer science (68-XX)
7 Optics, electromagnetic theory (78-XX)
4 Combinatorics (05-XX)
4 Quantum theory (81-XX)
4 Operations research, mathematical programming (90-XX)
4 Information and communication theory, circuits (94-XX)
3 Topological groups, Lie groups (22-XX)
3 Functional analysis (46-XX)
3 Algebraic topology (55-XX)
3 Statistics (62-XX)
2 History and biography (01-XX)
2 Number theory (11-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Integral equations (45-XX)
1 Mathematics education (97-XX)

Citations by Year