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Kirchgraber, Urs

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Author ID: kirchgraber.urs Recent zbMATH articles by "Kirchgraber, Urs"
Published as: Kirchgraber, Urs; Kirchgraber, U.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 45 Publications since 1971, including 9 Books
Reviewing Activity: 1 Review

Publications by Year

Citations contained in zbMATH Open

23 Publications have been cited 189 times in 168 Documents Cited by Year
Geometry in the neighborhood of invariant manifolds of maps and flows in linearization. Zbl 0746.58008
Kirchgraber, U.; Palmer, K. J.
35
1990
On the definition of chaos. Zbl 0713.58035
Kirchgraber, U.; Stoffer, D.
32
1989
Methoden der analytischen Störungsrechnung und ihre Anwendungen. Zbl 0411.34050
Kirchgraber, Urs; Stiefel, Eduard
22
1978
Chaotic behaviour in simple dynamical systems. Zbl 0715.58024
Kirchgraber, U.; Stoffer, D.
18
1990
Multi-step methods are essentially one-step methods. Zbl 0629.65077
Kirchgraber, Urs
12
1986
Rigorous proof of chaotic behaviour in a dumbbell satellite model. Zbl 0965.37023
Kirchgraber, Urs; Manz, Ulrich; Stoffer, Daniel
11
2000
On ODE-solver based on the method of averaging. Zbl 0656.65072
Kirchgraber, U.
11
1988
Possible chaotic motion of comets in the Sun-Jupiter system – a computer-assisted approach based on shadowing. Zbl 1080.70006
Kirchgraber, Urs; Stoffer, Daniel
9
2004
A problem of orbital dynamics, which is separable in KS-variables. Zbl 0229.70032
Kirchgraber, Urs
5
1971
The transformation behaviour of perturbation theories. Zbl 0258.34052
Kirchgraber, Urs
5
1973
Verification of chaotic behaviour in the planar restricted three body problem. Zbl 0996.65140
Stoffer, Daniel; Kirchgraber, Urs
5
2001
Transversal homoclinic points of the Hénon map. Zbl 1103.37012
Kirchgraber, Urs; Stoffer, Daniel
4
2006
Dynamics reported. Volume 2. Zbl 0659.00009
Kirchgraber, U. (ed.); Walther, H. O. (ed.)
3
1989
Sur les propriétés geométriques au voisinage d’une variété invariante. Zbl 0403.58022
Kirchgraber, Urs
3
1979
A numerical scheme for problems in nonlinear oscillations. Zbl 0517.70027
Kirchgraber, U.
3
1982
Sur une méthode de stabilisation en analyse numérique. Zbl 0372.65029
Kirchgraber, Urs
2
1978
On the Stiefel-Baumgarte stabilization procedure. Zbl 0404.65042
Kirchgraber, Urs
2
1979
A note on Liapunov’s center theorem. Zbl 0444.34039
Kirchgraber, Urs
2
1980
Dynamics reported. Volume 1. Zbl 0651.00018
Kirchgraber, Urs (ed.); Walther, Hans-Otto (ed.)
1
1988
Error bounds for perturbation methods. Zbl 0343.34040
Kirchgraber, Urs
1
1976
New a posteriori bounds in the method of averages. Zbl 0357.65049
Kirchgraber, U.
1
1974
Bifurcation of periodic orbits in coupled chemical reactors. I. Zbl 0487.34042
Kirchgraber, U.
1
1981
Stability of two-parameter families of linear periodic systems. Zbl 0584.34035
Kirchgraber, U.; Meyer, F.; Schweitzer, G.
1
1985
Transversal homoclinic points of the Hénon map. Zbl 1103.37012
Kirchgraber, Urs; Stoffer, Daniel
4
2006
Possible chaotic motion of comets in the Sun-Jupiter system – a computer-assisted approach based on shadowing. Zbl 1080.70006
Kirchgraber, Urs; Stoffer, Daniel
9
2004
Verification of chaotic behaviour in the planar restricted three body problem. Zbl 0996.65140
Stoffer, Daniel; Kirchgraber, Urs
5
2001
Rigorous proof of chaotic behaviour in a dumbbell satellite model. Zbl 0965.37023
Kirchgraber, Urs; Manz, Ulrich; Stoffer, Daniel
11
2000
Geometry in the neighborhood of invariant manifolds of maps and flows in linearization. Zbl 0746.58008
Kirchgraber, U.; Palmer, K. J.
35
1990
Chaotic behaviour in simple dynamical systems. Zbl 0715.58024
Kirchgraber, U.; Stoffer, D.
18
1990
On the definition of chaos. Zbl 0713.58035
Kirchgraber, U.; Stoffer, D.
32
1989
Dynamics reported. Volume 2. Zbl 0659.00009
Kirchgraber, U.; Walther, H. O.
3
1989
On ODE-solver based on the method of averaging. Zbl 0656.65072
Kirchgraber, U.
11
1988
Dynamics reported. Volume 1. Zbl 0651.00018
Kirchgraber, Urs; Walther, Hans-Otto
1
1988
Multi-step methods are essentially one-step methods. Zbl 0629.65077
Kirchgraber, Urs
12
1986
Stability of two-parameter families of linear periodic systems. Zbl 0584.34035
Kirchgraber, U.; Meyer, F.; Schweitzer, G.
1
1985
A numerical scheme for problems in nonlinear oscillations. Zbl 0517.70027
Kirchgraber, U.
3
1982
Bifurcation of periodic orbits in coupled chemical reactors. I. Zbl 0487.34042
Kirchgraber, U.
1
1981
A note on Liapunov’s center theorem. Zbl 0444.34039
Kirchgraber, Urs
2
1980
Sur les propriétés geométriques au voisinage d’une variété invariante. Zbl 0403.58022
Kirchgraber, Urs
3
1979
On the Stiefel-Baumgarte stabilization procedure. Zbl 0404.65042
Kirchgraber, Urs
2
1979
Methoden der analytischen Störungsrechnung und ihre Anwendungen. Zbl 0411.34050
Kirchgraber, Urs; Stiefel, Eduard
22
1978
Sur une méthode de stabilisation en analyse numérique. Zbl 0372.65029
Kirchgraber, Urs
2
1978
Error bounds for perturbation methods. Zbl 0343.34040
Kirchgraber, Urs
1
1976
New a posteriori bounds in the method of averages. Zbl 0357.65049
Kirchgraber, U.
1
1974
The transformation behaviour of perturbation theories. Zbl 0258.34052
Kirchgraber, Urs
5
1973
A problem of orbital dynamics, which is separable in KS-variables. Zbl 0229.70032
Kirchgraber, Urs
5
1971
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Cited by 208 Authors

13 Kirchgraber, Urs
13 Zanolin, Fabio
7 Aulbach, Bernd
6 Stoffer, Daniel
5 Ruiz-Herrera, Alfonso
4 Rabinowitz, Paul Henry
3 Burra, Lakshmi
3 Butcher, John C.
3 Chartier, Philippe
3 Farto, José-Miguel
3 Fu, Xinchu
3 Kościelniak, Piotr
3 Lani-Wayda, Bernhard
3 Lu, Kening
3 Martin, Pablo
3 Mazur, Marcin
3 Murua, Ander
3 Wanner, Thomas
2 Bates, Peter W.
2 Chen, Chaonien
2 Duan, Jinqiao
2 Garay, Barnabas M.
2 García, Amelia
2 González, Ana-Belén
2 Hill, Adrian T.
2 López Fenner, Julio
2 Palmer, Kenneth James
2 Pascoletti, Anna
2 Peng, Chenchang
2 Pinto, Manuel
2 Pireddu, Marina
2 Rapaport, Michel
2 Reinfelds, Andrejs
2 Russell, Ryan P.
2 Spirig, Franz
2 Steindl, Alois
2 Troger, Hans
2 Tzeng, Shyuh-yaur
2 Vera, Juan A.
2 Wilczak, Daniel
2 Xia, Yonghui
2 Zanini, Chiara
2 Zhang, Weinian
2 Zhang, Wenmeng
1 Abed, Eyad H.
1 Abouelmagd, Elbaz I.
1 Afshari, Mehdi
1 Alho, Artur
1 Alvarez-Gallegos, Joaquín
1 Ambrosetti, Antonio
1 Augusteijn, Marijke F.
1 Badiale, Marino
1 Baider, Alberto
1 Barrio, Roberto
1 Bessa, Mário
1 Boscaggin, Alberto
1 Bourland, F. Jay
1 Breitenberger, Ernst
1 Bremer, J.-K.
1 Burby, J. W.
1 Cai, Meixiang
1 Calogero, Simone
1 Calvo, M. P.
1 Calvo, Manuel
1 Cao, Jinde
1 Castaneda, Nelson
1 Celletti, Alessandra
1 Chen, Deliang
1 Chiarelli, Sandra
1 Cian, Giuseppe
1 Coomes, Brian A.
1 Dankowicz, Harry J.
1 Datta, Samik
1 de la Llave, Rafael
1 deLaubenfels, Ralph J.
1 Delius, Gustav W.
1 Dichmann, Donald J.
1 Doedel, Eusebius J.
1 Dormayer, Peter
1 Eirola, Timo
1 Emamirad, Hassan Ali
1 Esmaelzadeh, Reza
1 Estep, Donald J.
1 Fang, Hui
1 Faou, Erwan
1 Farkas, Gyula
1 Farzami Sarcheshmeh, Saeed
1 Feng, Lirui
1 Fernández Martínez, Manuel
1 Filippas, Stathis
1 Fisher, Mark H.
1 Franco, J. Méndez
1 Friedli, Armin
1 Fu, Yibin
1 Galán-Vioque, Jorge
1 García Guirao, Juan Luis
1 Gjata, Oltiana
1 Haberman, Richard
1 Hairer, Ernst
1 Haller, George
...and 108 more Authors
all top 5

Cited in 75 Serials

11 Journal of Differential Equations
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Journal of Mathematical Analysis and Applications
8 Numerische Mathematik
7 Celestial Mechanics
6 Applied Numerical Mathematics
6 Celestial Mechanics and Dynamical Astronomy
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Nonlinear Analysis. Real World Applications
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Journal of Dynamics and Differential Equations
4 Nonlinear Analysis. Theory, Methods & Applications
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Transactions of the American Mathematical Society
3 Physica D
3 Applied Mathematics Letters
3 Journal of Difference Equations and Applications
3 Communications in Nonlinear Science and Numerical Simulation
2 Communications in Mathematical Physics
2 Journal of Mathematical Biology
2 Mathematics of Computation
2 Computing
2 Journal of Computational and Applied Mathematics
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Calculus of Variations and Partial Differential Equations
2 Nonlinear Dynamics
2 Chaos
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 General Relativity and Gravitation
1 International Journal of General Systems
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Computation
1 Automatica
1 BIT
1 Dissertationes Mathematicae
1 Journal of Approximation Theory
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Monatshefte für Mathematik
1 Results in Mathematics
1 Studies in Applied Mathematics
1 Topology and its Applications
1 Ergodic Theory and Dynamical Systems
1 Acta Applicandae Mathematicae
1 Journal of Complexity
1 Mathematical and Computer Modelling
1 Annals of Operations Research
1 Dynamics and Control
1 Numerical Algorithms
1 International Journal of Computer Mathematics
1 SIAM Journal on Mathematical Analysis
1 Journal of Nonlinear Science
1 Applied Categorical Structures
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Computational Mathematics
1 Complexity
1 Discrete and Continuous Dynamical Systems
1 Discrete Dynamics in Nature and Society
1 Acta Mathematica Sinica. English Series
1 Annales Henri Poincaré
1 Discrete and Continuous Dynamical Systems. Series B
1 Bulletin of the Brazilian Mathematical Society. New Series
1 SIAM Journal on Applied Dynamical Systems
1 Advances in Difference Equations
all top 5

Cited in 36 Fields

89 Dynamical systems and ergodic theory (37-XX)
77 Ordinary differential equations (34-XX)
35 Numerical analysis (65-XX)
30 Mechanics of particles and systems (70-XX)
12 Partial differential equations (35-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Difference and functional equations (39-XX)
7 General topology (54-XX)
6 Biology and other natural sciences (92-XX)
4 Systems theory; control (93-XX)
3 Operator theory (47-XX)
3 Differential geometry (53-XX)
3 Optics, electromagnetic theory (78-XX)
3 Relativity and gravitational theory (83-XX)
2 Commutative algebra (13-XX)
2 Measure and integration (28-XX)
2 Functional analysis (46-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Computer science (68-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Quantum theory (81-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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