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Fenichel, Neil H.

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Author ID: fenichel.neil-h Recent zbMATH articles by "Fenichel, Neil H."
Published as: Fenichel, Neil; Fenichel, Neil H.
Documents Indexed: 13 Publications since 1971

Co-Authors

12 single-authored
1 Evans, John W.
1 Feroe, John A.

Publications by Year

Citations contained in zbMATH Open

11 Publications have been cited 1,319 times in 1,007 Documents Cited by Year
Geometric singular perturbation theory for ordinary differential equations. Zbl 0476.34034
Fenichel, Neil
682
1979
Persistence and smoothness of invariant manifolds for flows. Zbl 0246.58015
Fenichel, Neil
379
1971
Asymptotic stability with rate conditions. Zbl 0284.58008
Fenichel, Neil
116
1974
Asymptotic stability with rate conditions. II. Zbl 0365.58012
Fenichel, Neil
86
1977
Double impulse solutions in nerve axon equations. Zbl 0512.92006
Evans, John W.; Fenichel, Neil; Feroe, John A.
31
1982
Asymptotic stability with rate conditions for dynamical systems. Zbl 0278.58006
Fenichel, Neil
13
1974
The orbit structure of the Hopf bifurcation problem. Zbl 0352.34045
Fenichel, Neil
5
1975
Oscillatory bifurcations in singular perturbation theory. II: Fast oscillations. Zbl 0562.34048
Fenichel, Neil
3
1983
Hyperbolicity and exponential dichotomy for dynamical systems. Zbl 0859.58020
Fenichel, Neil
2
1996
Global uniqueness in geometric singular perturbation theory. Zbl 0559.34059
Fenichel, Neil
1
1985
Exponential rate conditions for dynamical systems. Zbl 0294.34038
Fenichel, Neil H.
1
1973
Hyperbolicity and exponential dichotomy for dynamical systems. Zbl 0859.58020
Fenichel, Neil
2
1996
Global uniqueness in geometric singular perturbation theory. Zbl 0559.34059
Fenichel, Neil
1
1985
Oscillatory bifurcations in singular perturbation theory. II: Fast oscillations. Zbl 0562.34048
Fenichel, Neil
3
1983
Double impulse solutions in nerve axon equations. Zbl 0512.92006
Evans, John W.; Fenichel, Neil; Feroe, John A.
31
1982
Geometric singular perturbation theory for ordinary differential equations. Zbl 0476.34034
Fenichel, Neil
682
1979
Asymptotic stability with rate conditions. II. Zbl 0365.58012
Fenichel, Neil
86
1977
The orbit structure of the Hopf bifurcation problem. Zbl 0352.34045
Fenichel, Neil
5
1975
Asymptotic stability with rate conditions. Zbl 0284.58008
Fenichel, Neil
116
1974
Asymptotic stability with rate conditions for dynamical systems. Zbl 0278.58006
Fenichel, Neil
13
1974
Exponential rate conditions for dynamical systems. Zbl 0294.34038
Fenichel, Neil H.
1
1973
Persistence and smoothness of invariant manifolds for flows. Zbl 0246.58015
Fenichel, Neil
379
1971
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Cited by 1,222 Authors

26 de la Llave, Rafael
23 Wechselberger, Martin
20 Kühn, Christian
19 Szmolyan, Peter
18 Kaper, Tasso J.
17 Krupa, Martin
16 Haller, George
15 Desroches, Mathieu
14 Da Silva, Paulo Ricardo
14 Doelman, Arjen
13 Liu, Weishi
13 Wiggins, Stephen
12 Kopell, Nancy J.
11 Lu, Kening
11 Osinga, Hinke Maria
11 Walcher, Sebastian
10 De Maesschalck, Peter
9 Du, Zengji
9 Popović, Nikola
9 Sell, George Roger
9 Teixeira, Marco Antonio
8 Bates, Peter W.
8 Goussis, Dimitris A.
8 Kristiansen, Kristian Uldall
8 Sandstede, Björn
8 Schecter, Stephen
8 M-Seara, Tere
8 Shilnikov, Andrey L.
7 Gidea, Marian
7 Ginoux, Jean-Marc
7 Han, Maoan
7 Jardón-Kojakhmetov, Hildeberto
7 Jones, Christopher K. R. T.
7 Krauskopf, Bernd
7 Lin, Guojian
7 Llibre, Jaume
7 Poggiale, Jean-Christophe
7 Scheel, Arnd
7 Turaev, Dmitry V.
7 Uldall Kristiansen, K.
7 Vo, Theodore
6 Battelli, Flaviano
6 Bykov, Viatcheslav
6 Capinski, Maciej J.
6 Cardin, Pedro Toniol
6 Chaperon, Marc
6 Deng, Bo
6 Gol’dshtein, Vladimir Mikhailovich
6 Hogan, S. John
6 Jeffrey, Mike R.
6 Kaloshin, Vadim Yu.
6 Pliss, Viktor Aleksandrovich
6 Rubin, Jonathan E.
6 Sourdis, Christos
6 van Heijster, Peter
6 Yi, Yingfei
5 Barrio, Roberto
5 Brøns, Morten
5 Carter, Paul M.
5 Coombes, Stephen
5 Delshams, Amadeu
5 Dumortier, Freddy
5 Fontich, Ernest
5 Goeke, Alexandra
5 Guo, Boling
5 Hsu, Cheng-Hsiung
5 Kirk, Vivien
5 Lax, Christian
5 Lerman, Lev
5 Li, Ji
5 Li, Wan-Tong
5 Lin, Xiaobiao
5 Rodrigues, Serafim
5 Rottschäfer, Vivi
5 Shen, Jianhe
5 Tian, Lixin
5 Valorani, Mauro
4 Ashwin, Peter
4 Auger, Pierre M.
4 Balasuriya, Sanjeeva
4 Broer, Henk W.
4 Calleja, Renato C.
4 Chicone, Carmen C.
4 Eldering, Jaap
4 Fernández-García, Soledad
4 Goldfarb, Igor
4 Guardia, Marcel
4 Guillamon, Antoni
4 Haro, Àlex
4 Hong, John Meng-Kai
4 Mease, Kenneth D.
4 Moehlis, Jeff
4 Naudot, Vincent
4 Peng, Yahong
4 Rendall, Alan D.
4 Robinson, Clark
4 Sazhin, Sergei S.
4 Serrano, Sergio E.
4 Sneyd, James
4 Tabak, Joël
...and 1,122 more Authors
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Cited in 175 Serials

117 Journal of Differential Equations
76 Physica D
47 Journal of Dynamics and Differential Equations
37 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
34 Journal of Nonlinear Science
31 Chaos
31 SIAM Journal on Applied Dynamical Systems
27 Journal of Mathematical Biology
22 Mathematical Biosciences
21 Communications in Nonlinear Science and Numerical Simulation
19 Nonlinear Dynamics
17 Journal of Mathematical Analysis and Applications
15 Applied Mathematics and Computation
15 Transactions of the American Mathematical Society
14 Archive for Rational Mechanics and Analysis
14 Nonlinearity
14 Nonlinear Analysis. Real World Applications
12 Bulletin of Mathematical Biology
12 The Journal of Mathematical Neuroscience
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Discrete and Continuous Dynamical Systems. Series B
10 Chaos, Solitons and Fractals
10 Qualitative Theory of Dynamical Systems
10 Dynamical Systems
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Automatica
9 Mathematical and Computer Modelling
9 Discrete and Continuous Dynamical Systems
9 Journal of Theoretical Biology
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Regular and Chaotic Dynamics
7 Journal of Statistical Physics
7 Journal of Dynamical and Control Systems
7 Nonlinear Analysis. Theory, Methods & Applications
6 Communications in Mathematical Physics
6 Advances in Mathematics
6 Applied Mathematical Modelling
6 SIAM Journal on Mathematical Analysis
6 Journal of Mathematical Chemistry
5 Journal of Computational Physics
5 Ergodic Theory and Dynamical Systems
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of Computational Neuroscience
5 Journal of Difference Equations and Applications
5 Mathematical Modelling of Natural Phenomena
4 Biological Cybernetics
4 International Journal of Control
4 Journal of Mathematical Physics
4 Acta Mathematicae Applicatae Sinica. English Series
4 Japan Journal of Industrial and Applied Mathematics
4 SIAM Journal on Applied Mathematics
4 SIAM Review
4 Combustion Theory and Modelling
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Mathematical Methods in the Applied Sciences
3 Rocky Mountain Journal of Mathematics
3 Ukrainian Mathematical Journal
3 Journal of Geometry and Physics
3 Journal of Computational and Applied Mathematics
3 Journal of Functional Analysis
3 Mathematics and Computers in Simulation
3 Numerical Functional Analysis and Optimization
3 Quarterly of Applied Mathematics
3 Studies in Applied Mathematics
3 Transactions of the Moscow Mathematical Society
3 Advances in Applied Mathematics
3 Systems & Control Letters
3 Applied Mathematics and Mechanics. (English Edition)
3 Acta Applicandae Mathematicae
3 Dynamics and Stability of Systems
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Journal of the European Mathematical Society (JEMS)
3 Annales Henri Poincaré
3 Communications on Pure and Applied Analysis
3 Science China. Mathematics
3 Journal of Applied Analysis and Computation
2 Computers and Fluids
2 Journal of Engineering Mathematics
2 Journal of Fluid Mechanics
2 Physics Letters. A
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 BIT
2 Inventiones Mathematicae
2 Numerische Mathematik
2 Applied Numerical Mathematics
2 Applied Mathematics Letters
2 European Journal of Applied Mathematics
2 Neural Computation
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Indagationes Mathematicae. New Series
2 Physics of Fluids
2 Journal of Mathematical Sciences (New York)
2 Bulletin des Sciences Mathématiques
2 Electronic Research Announcements of the American Mathematical Society
2 Mathematical Population Studies
2 Differential Equations and Dynamical Systems
2 Acta Mathematica Sinica. English Series
2 Bulletin of the Brazilian Mathematical Society. New Series
...and 75 more Serials
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Cited in 42 Fields

527 Ordinary differential equations (34-XX)
418 Dynamical systems and ergodic theory (37-XX)
287 Biology and other natural sciences (92-XX)
250 Partial differential equations (35-XX)
102 Mechanics of particles and systems (70-XX)
60 Fluid mechanics (76-XX)
51 Numerical analysis (65-XX)
38 Classical thermodynamics, heat transfer (80-XX)
35 Systems theory; control (93-XX)
21 Probability theory and stochastic processes (60-XX)
19 Differential geometry (53-XX)
14 Mechanics of deformable solids (74-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Operator theory (47-XX)
13 Global analysis, analysis on manifolds (58-XX)
11 Geophysics (86-XX)
10 Difference and functional equations (39-XX)
10 Optics, electromagnetic theory (78-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
6 Operations research, mathematical programming (90-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Integral equations (45-XX)
5 Quantum theory (81-XX)
5 Relativity and gravitational theory (83-XX)
4 Approximations and expansions (41-XX)
4 Manifolds and cell complexes (57-XX)
4 Information and communication theory, circuits (94-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functional analysis (46-XX)
3 Computer science (68-XX)
3 Astronomy and astrophysics (85-XX)
2 General topology (54-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Algebraic topology (55-XX)

Citations by Year