×
Author ID: sauer.timothy-d Recent zbMATH articles by "Sauer, Timothy D."
Published as: Sauer, Tim; Sauer, Timothy; Sauer, T.; Sauer, Timothy D.; Sauer, Tim D.
External Links: ORCID

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 1,308 times in 1,114 Documents Cited by Year
Embedology. Zbl 0943.37506
Sauer, Tim; Yorke, James A.; Casdagli, Martin
344
1991
Chaos. An introduction to dynamical systems. Zbl 0867.58043
Alligood, Kathleen T.; Sauer, Tim D.; Yorke, James A.
301
1996
Prevalence: a translation-invariant “almost every” on infinite- dimensional spaces. Zbl 0763.28009
Hunt, Brian R.; Sauer, Tim; Yorke, James A.
162
1992
Shadowing of physical trajectories in chaotic dynamics:containment and refinement. Zbl 1050.37521
Grebogi, Celso; Hammel, Stephen M.; Yorke, James A.; Sauer, Tim
59
1990
Coping with chaos: analysis of chaotic data and the exploitation of chaotic systems. Zbl 0840.58001
38
1994
A noise reduction method for signals from nonlinear systems. Zbl 1194.94137
Sauer, Tim
36
1992
The cheater’s homotopy: An efficient procedure for solving systems of polynomial equations. Zbl 0689.65032
Li, T. Y.; Sauer, Tim; Yorke, J. A.
34
1989
Local kernels and the geometric structure of data. Zbl 1376.94002
Berry, Tyrus; Sauer, Timothy
33
2016
Estimating correlation dimension from a chaotic time series: When does plateau onset occur? Zbl 0803.58038
Ding, Mingzhou; Grebogi, Celso; Ott, Edward; Sauer, Tim; Yorke, James A.
29
1993
Rigorous verification of trajectories for the computer simulation of dynamical systems. Zbl 0736.58032
Sauer, Tim; Yorke, James A.
29
1991
Epilepsy as a dynamic disease. Zbl 1058.92027
25
2003
Numerical solution of a class of deficient polynomial systems. Zbl 0625.65039
Li, Tien-Yien; Sauer, Tim; Yorke, James A.
24
1987
Numerical solution of stochastic differential equations in finance. Zbl 1229.91347
Sauer, Timothy
24
2012
Time-scale separation from diffusion-mapped delay coordinates. Zbl 1291.37101
Berry, T.; Cressman, J. R.; Gregurić-Ferenček, Z.; Sauer, T.
23
2013
Prevalence: An addendum. Zbl 0782.28007
Hunt, Brian R.; Sauer, Tim; Yorke, James A.
21
1993
Are the dimensions of a set and its image equal under typical smooth functions? Zbl 0884.28006
Sauer, Timothy D.; Yorke, James A.
20
1997
Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\). Zbl 0621.65028
Li, T. Y.; Sauer, T.
18
1987
How many delay coordinates do you need? Zbl 0871.58066
Sauer, Tim; Yorke, James A.
17
1993
Density estimation on manifolds with boundary. Zbl 1466.62029
Berry, Tyrus; Sauer, Timothy
16
2017
Global convergence of max-type equations. Zbl 1230.39001
Sauer, Timothy
12
2011
Nonstable reflexive sheaves on \(P_ 2\). Zbl 0526.14007
Sauer, Timothy
11
1984
Numerically determining solutions of systems of polynomial equations. Zbl 0651.65042
Li, T. Y.; Sauer, Tim; Yorke, James A.
11
1988
Smoothing projectively Cohen-Macaulay space curves. Zbl 0546.14023
Sauer, Tim
10
1985
The random product homotopy and deficient polynomial systems. Zbl 0656.65055
Li, T. Y.; Sauer, Tim; Yorke, James A.
10
1987
Rotation numbers of periodic orbits in the Hénon map. Zbl 0729.58032
Alligood, K. T.; Sauer, T.
10
1988
Homotopy method for general \(\lambda\)-matrix problems. Zbl 0661.65043
Chu, Moody T.; Li, T. Y.; Sauer, Tim
9
1988
Convergence of rank-type equations. Zbl 1211.39003
Sauer, Timothy
4
2011
Shadowability of chaotic dynamical systems. Zbl 1104.37300
Grebogi, Celso; Poon, Leon; Sauer, Tim; Yorke, James A.; Auerbach, Ditza
4
2002
Robustness of solutions of almost every system of equations. Zbl 1497.65067
Jahedi, Sana; Sauer, Timothy; Yorke, James A.
4
2022
A simple homotopy for solving deficient polynomial systems. Zbl 0693.65036
Li, Tien-Yien; Sauer, Tim
3
1989
Chaotic itinerancy based on attractors of one-dimensional maps. Zbl 1080.37555
Sauer, Timothy
3
2003
Identifiability of infection model parameters early in an epidemic. Zbl 1475.92189
Sauer, Timothy; Berry, Tyrus; Ebeigbe, Donald; Norton, Michael M.; Whalen, Andrew J.; Schiff, Steven J.
3
2021
Reconstruction of integrate-and-fire dynamics. Zbl 0863.58054
Sauer, Tim
2
1997
Shadowing trajectories of dynamical systems. Zbl 0751.68082
Sauer, Tim; Yorke, James A.
2
1991
Convergence of periodically forced rank-type equations. Zbl 1248.39007
Berry, Tyrus; Sauer, Timothy
2
2012
The number of equations defining points in general position. Zbl 0573.14017
Sauer, Tim
1
1985
Delay-coordinates embeddings as a data mining tool for denoising speech signals. Zbl 1146.93380
Napoletani, D.; Struppa, D. C.; Sauer, T.; Berenstein, C. A.; Walnut, D.
1
2006
Augmented sparse reconstruction of protein signaling networks. Zbl 1400.92213
Napoletani, D.; Sauer, T.; D. C. Struppa, D. C.; Petricoin, E.; Liotta, L.
1
2008
Computer arithmetic and sensitivity of natural measure. Zbl 1073.65566
Sauer, Tim
1
2005
Jakob Köbel’s surveying: elementary errors or strategic simplifications? (Jakob Köbels Feldmessung: elementare Fehler oder strategische Vereinfachungen?) Zbl 1435.01010
Heitholt, J.; Sauer, T.
1
2019
Structured systems of nonlinear equations. Zbl 1518.93019
Jahedi, Sana; Sauer, Timothy; Yorke, James A.
1
2023
Structured systems of nonlinear equations. Zbl 1518.93019
Jahedi, Sana; Sauer, Timothy; Yorke, James A.
1
2023
Robustness of solutions of almost every system of equations. Zbl 1497.65067
Jahedi, Sana; Sauer, Timothy; Yorke, James A.
4
2022
Identifiability of infection model parameters early in an epidemic. Zbl 1475.92189
Sauer, Timothy; Berry, Tyrus; Ebeigbe, Donald; Norton, Michael M.; Whalen, Andrew J.; Schiff, Steven J.
3
2021
Jakob Köbel’s surveying: elementary errors or strategic simplifications? (Jakob Köbels Feldmessung: elementare Fehler oder strategische Vereinfachungen?) Zbl 1435.01010
Heitholt, J.; Sauer, T.
1
2019
Density estimation on manifolds with boundary. Zbl 1466.62029
Berry, Tyrus; Sauer, Timothy
16
2017
Local kernels and the geometric structure of data. Zbl 1376.94002
Berry, Tyrus; Sauer, Timothy
33
2016
Time-scale separation from diffusion-mapped delay coordinates. Zbl 1291.37101
Berry, T.; Cressman, J. R.; Gregurić-Ferenček, Z.; Sauer, T.
23
2013
Numerical solution of stochastic differential equations in finance. Zbl 1229.91347
Sauer, Timothy
24
2012
Convergence of periodically forced rank-type equations. Zbl 1248.39007
Berry, Tyrus; Sauer, Timothy
2
2012
Global convergence of max-type equations. Zbl 1230.39001
Sauer, Timothy
12
2011
Convergence of rank-type equations. Zbl 1211.39003
Sauer, Timothy
4
2011
Augmented sparse reconstruction of protein signaling networks. Zbl 1400.92213
Napoletani, D.; Sauer, T.; D. C. Struppa, D. C.; Petricoin, E.; Liotta, L.
1
2008
Delay-coordinates embeddings as a data mining tool for denoising speech signals. Zbl 1146.93380
Napoletani, D.; Struppa, D. C.; Sauer, T.; Berenstein, C. A.; Walnut, D.
1
2006
Computer arithmetic and sensitivity of natural measure. Zbl 1073.65566
Sauer, Tim
1
2005
Epilepsy as a dynamic disease. Zbl 1058.92027
25
2003
Chaotic itinerancy based on attractors of one-dimensional maps. Zbl 1080.37555
Sauer, Timothy
3
2003
Shadowability of chaotic dynamical systems. Zbl 1104.37300
Grebogi, Celso; Poon, Leon; Sauer, Tim; Yorke, James A.; Auerbach, Ditza
4
2002
Are the dimensions of a set and its image equal under typical smooth functions? Zbl 0884.28006
Sauer, Timothy D.; Yorke, James A.
20
1997
Reconstruction of integrate-and-fire dynamics. Zbl 0863.58054
Sauer, Tim
2
1997
Chaos. An introduction to dynamical systems. Zbl 0867.58043
Alligood, Kathleen T.; Sauer, Tim D.; Yorke, James A.
301
1996
Coping with chaos: analysis of chaotic data and the exploitation of chaotic systems. Zbl 0840.58001
38
1994
Estimating correlation dimension from a chaotic time series: When does plateau onset occur? Zbl 0803.58038
Ding, Mingzhou; Grebogi, Celso; Ott, Edward; Sauer, Tim; Yorke, James A.
29
1993
Prevalence: An addendum. Zbl 0782.28007
Hunt, Brian R.; Sauer, Tim; Yorke, James A.
21
1993
How many delay coordinates do you need? Zbl 0871.58066
Sauer, Tim; Yorke, James A.
17
1993
Prevalence: a translation-invariant “almost every” on infinite- dimensional spaces. Zbl 0763.28009
Hunt, Brian R.; Sauer, Tim; Yorke, James A.
162
1992
A noise reduction method for signals from nonlinear systems. Zbl 1194.94137
Sauer, Tim
36
1992
Embedology. Zbl 0943.37506
Sauer, Tim; Yorke, James A.; Casdagli, Martin
344
1991
Rigorous verification of trajectories for the computer simulation of dynamical systems. Zbl 0736.58032
Sauer, Tim; Yorke, James A.
29
1991
Shadowing trajectories of dynamical systems. Zbl 0751.68082
Sauer, Tim; Yorke, James A.
2
1991
Shadowing of physical trajectories in chaotic dynamics:containment and refinement. Zbl 1050.37521
Grebogi, Celso; Hammel, Stephen M.; Yorke, James A.; Sauer, Tim
59
1990
The cheater’s homotopy: An efficient procedure for solving systems of polynomial equations. Zbl 0689.65032
Li, T. Y.; Sauer, Tim; Yorke, J. A.
34
1989
A simple homotopy for solving deficient polynomial systems. Zbl 0693.65036
Li, Tien-Yien; Sauer, Tim
3
1989
Numerically determining solutions of systems of polynomial equations. Zbl 0651.65042
Li, T. Y.; Sauer, Tim; Yorke, James A.
11
1988
Rotation numbers of periodic orbits in the Hénon map. Zbl 0729.58032
Alligood, K. T.; Sauer, T.
10
1988
Homotopy method for general \(\lambda\)-matrix problems. Zbl 0661.65043
Chu, Moody T.; Li, T. Y.; Sauer, Tim
9
1988
Numerical solution of a class of deficient polynomial systems. Zbl 0625.65039
Li, Tien-Yien; Sauer, Tim; Yorke, James A.
24
1987
Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\). Zbl 0621.65028
Li, T. Y.; Sauer, T.
18
1987
The random product homotopy and deficient polynomial systems. Zbl 0656.65055
Li, T. Y.; Sauer, Tim; Yorke, James A.
10
1987
Smoothing projectively Cohen-Macaulay space curves. Zbl 0546.14023
Sauer, Tim
10
1985
The number of equations defining points in general position. Zbl 0573.14017
Sauer, Tim
1
1985
Nonstable reflexive sheaves on \(P_ 2\). Zbl 0526.14007
Sauer, Timothy
11
1984
all top 5

Cited by 1,864 Authors

25 Yorke, James Alan
17 Sauer, Timothy D.
15 Giannakis, Dimitrios
12 Harlim, John
11 Bollt, Erik M.
11 Judd, Kevin
11 Kantz, Holger
11 Li, Tien-Yien
11 Mees, Alistair I.
11 Robinson, James Cooper
10 Berry, Tyrus
9 Bradley, Elizabeth
9 Grebogi, Celso
8 Broomhead, David S.
8 Cao, Liangyue
8 Hunt, Brian R.
8 Kurths, Jürgen
8 Verschelde, Jan
7 Aihara, Kazuyuki
7 Das, Suddhasattwa
7 Khader, Mohamed M.
7 Lai, Yingcheng
7 Meiss, James D.
7 Ott, Edward
7 Parlitz, Ulrich
7 Sun, Taixiang
6 Corso, Gilberto
6 Esser, Céline
6 Gao, Jianbo
6 Nikolov, Svetoslav G.
6 Sanjuán, Miguel A. F.
5 Aguilar-Ibáñez, Carlos Fernando
5 Alves, Paulo Ricardo L.
5 Anglès d’Auriac, Jean-Christian
5 Boukraa, Salah
5 Dietrich, Felix
5 Hirata, Yoshito
5 Huke, Jeremy P.
5 Jabłońska, Eliza
5 Lainscsek, Claudia S. M.
5 Maillard, Jean-Marie
5 Short, Kevin M.
5 Smith, Leonard A.
5 Sommese, Andrew John
5 Sprott, Julien Clinton
5 Su, Guangwang
5 Vaidyanathan, Sundarapandian
5 Yu, Bo
5 Zhou, Shengfan
4 Abarenkova, Nina
4 Aguirre, Luis Antonio
4 Akhmet, Marat Ubaydulla
4 Ballico, Edoardo
4 Barrio, Roberto
4 Billings, Stephen A.
4 Casdagli, Martin C.
4 da Mota, Luis Antonio Campinho Pereira
4 Darji, Udayan B.
4 Dong, Bo
4 Duarte, L. G. S.
4 Elekes, Márton
4 Enciso, Germán Andrés
4 Fen, Mehmet Onur
4 Fradkov, Aleksandr L’vovich
4 Garland, Joshua
4 He, Zhimin
4 Hegger, Rainer
4 Hu, Jing
4 Jaffard, Stéphane
4 Kevrekidis, Ioannis George
4 Li, Bo
4 Liao, Shijun
4 Lu, Zhengyi
4 Nicolay, Samuel
4 Ott, William
4 Palmer, Kenneth James
4 Schwartz, Ira Bruce
4 Sejnowski, Terrence J.
4 Soofi, Abdol S.
4 Sottile, Frank
4 Tokuda, Isao T.
4 Tung, Wenwen
4 Van Vleck, Erik S.
4 Viana, Ricardo Luiz
3 Abarbanel, Henry D. I.
3 Adel, Mohamed H.
3 Albers, David J.
3 Alligood, Kathleen T.
3 Ashish
3 Avila, Artur
3 Bastin, Françoise
3 Billings, Lora
3 Birnir, Bjorn
3 Caldas, Iberê L.
3 Carroll, Thomas L.
3 Casaleggio, Aldo
3 Cencini, Massimo
3 Chen, Guanrong
3 Chen, Tianran
3 Cholaquidis, Alejandro
...and 1,764 more Authors
all top 5

Cited in 293 Serials

133 Physica D
77 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
76 Chaos
53 Chaos, Solitons and Fractals
44 Physics Letters. A
26 Applied Mathematics and Computation
23 Nonlinear Dynamics
17 Communications in Nonlinear Science and Numerical Simulation
16 SIAM Journal on Applied Dynamical Systems
14 Applied and Computational Harmonic Analysis
12 Journal of Computational Physics
12 Physica A
10 Journal of Nonlinear Science
9 Journal of Mathematical Analysis and Applications
9 Nonlinearity
9 Advances in Mathematics
9 Proceedings of the American Mathematical Society
9 Ergodic Theory and Dynamical Systems
8 Communications in Mathematical Physics
8 Journal of Computational and Applied Mathematics
8 Advances in Difference Equations
7 Journal of Statistical Physics
7 Journal of Symbolic Computation
7 Neural Computation
7 Journal of Difference Equations and Applications
7 Discrete and Continuous Dynamical Systems
6 Israel Journal of Mathematics
6 Journal of the Franklin Institute
6 Journal of Mathematical Biology
6 Mathematics of Computation
6 Transactions of the American Mathematical Society
6 Topology and its Applications
6 Fractals
6 Discrete Dynamics in Nature and Society
5 Journal of Pure and Applied Algebra
5 Journal of Scientific Computing
5 European Journal of Operational Research
5 Computational and Applied Mathematics
5 Mathematical Problems in Engineering
5 Discrete and Continuous Dynamical Systems. Series B
5 Journal of Biological Dynamics
5 Nonlinear Analysis. Theory, Methods & Applications
4 Mathematical Biosciences
4 Journal of Differential Equations
4 Journal of Economic Theory
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Numerical Algorithms
4 Journal of Dynamics and Differential Equations
4 Nonlinear Analysis. Real World Applications
4 Dynamical Systems
3 Communications in Algebra
3 Computer Physics Communications
3 Journal of Fluid Mechanics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Nuclear Physics. B
3 Physics Reports
3 Mathematics and Computers in Simulation
3 Numerische Mathematik
3 Theoretical Computer Science
3 Systems & Control Letters
3 Journal of Complexity
3 Neural Networks
3 Japan Journal of Industrial and Applied Mathematics
3 International Journal of Computer Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Computational Statistics and Data Analysis
3 Vestnik St. Petersburg University. Mathematics
3 Archives of Control Sciences
3 International Journal of Theoretical and Applied Finance
3 Journal of High Energy Physics
3 Physical Review Letters
3 Foundations of Computational Mathematics
3 Journal of Machine Learning Research (JMLR)
3 Stochastics and Dynamics
3 Electronic Journal of Statistics
3 Discrete and Continuous Dynamical Systems. Series S
3 International Journal of Biomathematics
3 Journal of Theoretical Biology
3 SIAM/ASA Journal on Uncertainty Quantification
2 Archive for Rational Mechanics and Analysis
2 Biological Cybernetics
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 International Journal of Systems Science
2 Journal of Mathematical Physics
2 Wave Motion
2 Acta Mathematica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 The Annals of Statistics
2 Computing
2 International Journal of Mathematics and Mathematical Sciences
2 International Journal of Circuit Theory and Applications
2 Inventiones Mathematicae
2 Journal of Mathematical Economics
2 Kybernetika
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Meccanica
2 Results in Mathematics
2 Social Choice and Welfare
...and 193 more Serials
all top 5

Cited in 57 Fields

576 Dynamical systems and ergodic theory (37-XX)
154 Numerical analysis (65-XX)
139 Ordinary differential equations (34-XX)
128 Statistics (62-XX)
102 Biology and other natural sciences (92-XX)
86 Systems theory; control (93-XX)
81 Measure and integration (28-XX)
71 Computer science (68-XX)
63 Probability theory and stochastic processes (60-XX)
55 Information and communication theory, circuits (94-XX)
52 Partial differential equations (35-XX)
50 Mechanics of particles and systems (70-XX)
47 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
46 Difference and functional equations (39-XX)
45 Fluid mechanics (76-XX)
39 Real functions (26-XX)
33 Algebraic geometry (14-XX)
30 General topology (54-XX)
30 Statistical mechanics, structure of matter (82-XX)
23 Functional analysis (46-XX)
22 Quantum theory (81-XX)
16 Commutative algebra (13-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Functions of a complex variable (30-XX)
15 Operations research, mathematical programming (90-XX)
14 Mechanics of deformable solids (74-XX)
13 Field theory and polynomials (12-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
12 Operator theory (47-XX)
11 Manifolds and cell complexes (57-XX)
11 Geophysics (86-XX)
10 Optics, electromagnetic theory (78-XX)
8 Mathematical logic and foundations (03-XX)
8 Number theory (11-XX)
7 Combinatorics (05-XX)
7 Approximations and expansions (41-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Differential geometry (53-XX)
5 General and overarching topics; collections (00-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Algebraic topology (55-XX)
4 Relativity and gravitational theory (83-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 History and biography (01-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
2 Convex and discrete geometry (52-XX)
2 Astronomy and astrophysics (85-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Nonassociative rings and algebras (17-XX)
1 \(K\)-theory (19-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)

Citations by Year