Edit Profile Kirchgraber, Urs Compute Distance To: Compute Author ID: kirchgraber.urs Published as: Kirchgraber, U.; Kirchgraber, Urs External Links: MGP · Wikidata · GND Documents Indexed: 45 Publications since 1971, including 9 Books all top 5 Co-Authors 24 single-authored 7 Stoffer, Daniel 7 Walther, Hans-Otto 5 Jones, Christopher K. R. T. 1 Friedli, Armin 1 Kirsch, Andreas 1 Manz, Ulrich 1 Meyer, Fernand 1 Palmer, Kenneth James 1 Pospiech, Gesche 1 Schweitzer, Gerhard 1 Sigrist, Niklaus 1 Stiefel, Eduard L. 1 Vitins, M. 1 Waldvogel, Jörg all top 5 Serials 6 Celestial Mechanics 4 Mechanics Research Communications 3 Mathematische Semesterberichte 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Numerische Mathematik 1 Nonlinearity 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Computing 1 Journal für die Reine und Angewandte Mathematik 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Applied Numerical Mathematics 1 Elemente der Mathematik 1 SIAM Review all top 5 Fields 19 Ordinary differential equations (34-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Mechanics of particles and systems (70-XX) 10 Numerical analysis (65-XX) 7 General and overarching topics; collections (00-XX) 5 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 24 Publications have been cited 191 times in 169 Documents Cited by ▼ Year ▼ Geometry in the neighborhood of invariant manifolds of maps and flows in linearization. Zbl 0746.58008Kirchgraber, U.; Palmer, K. J. 33 1990 On the definition of chaos. Zbl 0713.58035Kirchgraber, U.; Stoffer, D. 33 1989 Methoden der analytischen Störungsrechnung und ihre Anwendungen. Zbl 0411.34050Kirchgraber, Urs; Stiefel, Eduard 22 1978 Chaotic behaviour in simple dynamical systems. Zbl 0715.58024Kirchgraber, U.; Stoffer, D. 18 1990 Multi-step methods are essentially one-step methods. Zbl 0629.65077Kirchgraber, Urs 12 1986 Rigorous proof of chaotic behaviour in a dumbbell satellite model. Zbl 0965.37023Kirchgraber, Urs; Manz, Ulrich; Stoffer, Daniel 11 2000 On ODE-solver based on the method of averaging. Zbl 0656.65072Kirchgraber, U. 11 1988 Possible chaotic motion of comets in the Sun-Jupiter system – a computer-assisted approach based on shadowing. Zbl 1080.70006Kirchgraber, Urs; Stoffer, Daniel 9 2004 Verification of chaotic behaviour in the planar restricted three body problem. Zbl 0996.65140Stoffer, Daniel; Kirchgraber, Urs 5 2001 The transformation behaviour of perturbation theories. Zbl 0258.34052Kirchgraber, Urs 5 1973 A problem of orbital dynamics, which is separable in KS-variables. Zbl 0229.70032Kirchgraber, Urs 5 1971 Transversal homoclinic points of the Hénon map. Zbl 1103.37012Kirchgraber, Urs; Stoffer, Daniel 4 2006 Dynamics reported. Volume 2. Zbl 0659.00009Kirchgraber, U. (ed.); Walther, H. O. (ed.) 3 1989 A numerical scheme for problems in nonlinear oscillations. Zbl 0517.70027Kirchgraber, U. 3 1982 Sur les propriétés geométriques au voisinage d’une variété invariante. Zbl 0403.58022Kirchgraber, Urs 3 1979 Dynamics reported. Expositions in dynamical systems. New series. Volume 3. Zbl 0782.00032Jones, Christopher K. R. T. (ed.); Kirchgraber, Urs (ed.); Walther, Hans- Otto (ed.) 2 1994 Bifurcation of periodic orbits in coupled chemical reactors. I. Zbl 0487.34042Kirchgraber, U. 2 1981 A note on Liapunov’s center theorem. Zbl 0444.34039Kirchgraber, Urs 2 1980 On the Stiefel-Baumgarte stabilization procedure. Zbl 0404.65042Kirchgraber, Urs 2 1979 Sur une méthode de stabilisation en analyse numérique. Zbl 0372.65029Kirchgraber, Urs 2 1978 Dynamics reported. Volume 1. Zbl 0651.00018Kirchgraber, Urs (ed.); Walther, Hans-Otto (ed.) 1 1988 Stability of two-parameter families of linear periodic systems. Zbl 0584.34035Kirchgraber, U.; Meyer, F.; Schweitzer, G. 1 1985 Error bounds for perturbation methods. Zbl 0343.34040Kirchgraber, Urs 1 1976 New a posteriori bounds in the method of averages. Zbl 0357.65049Kirchgraber, U. 1 1974 Transversal homoclinic points of the Hénon map. Zbl 1103.37012Kirchgraber, Urs; Stoffer, Daniel 4 2006 Possible chaotic motion of comets in the Sun-Jupiter system – a computer-assisted approach based on shadowing. Zbl 1080.70006Kirchgraber, Urs; Stoffer, Daniel 9 2004 Verification of chaotic behaviour in the planar restricted three body problem. Zbl 0996.65140Stoffer, Daniel; Kirchgraber, Urs 5 2001 Rigorous proof of chaotic behaviour in a dumbbell satellite model. Zbl 0965.37023Kirchgraber, Urs; Manz, Ulrich; Stoffer, Daniel 11 2000 Dynamics reported. Expositions in dynamical systems. New series. Volume 3. Zbl 0782.00032Jones, Christopher K. R. T. (ed.); Kirchgraber, Urs (ed.); Walther, Hans- Otto (ed.) 2 1994 Geometry in the neighborhood of invariant manifolds of maps and flows in linearization. Zbl 0746.58008Kirchgraber, U.; Palmer, K. J. 33 1990 Chaotic behaviour in simple dynamical systems. Zbl 0715.58024Kirchgraber, U.; Stoffer, D. 18 1990 On the definition of chaos. Zbl 0713.58035Kirchgraber, U.; Stoffer, D. 33 1989 Dynamics reported. Volume 2. Zbl 0659.00009Kirchgraber, U. (ed.); Walther, H. O. (ed.) 3 1989 On ODE-solver based on the method of averaging. Zbl 0656.65072Kirchgraber, U. 11 1988 Dynamics reported. Volume 1. Zbl 0651.00018Kirchgraber, Urs (ed.); Walther, Hans-Otto (ed.) 1 1988 Multi-step methods are essentially one-step methods. Zbl 0629.65077Kirchgraber, Urs 12 1986 Stability of two-parameter families of linear periodic systems. Zbl 0584.34035Kirchgraber, U.; Meyer, F.; Schweitzer, G. 1 1985 A numerical scheme for problems in nonlinear oscillations. Zbl 0517.70027Kirchgraber, U. 3 1982 Bifurcation of periodic orbits in coupled chemical reactors. I. Zbl 0487.34042Kirchgraber, U. 2 1981 A note on Liapunov’s center theorem. Zbl 0444.34039Kirchgraber, Urs 2 1980 Sur les propriétés geométriques au voisinage d’une variété invariante. Zbl 0403.58022Kirchgraber, Urs 3 1979 On the Stiefel-Baumgarte stabilization procedure. Zbl 0404.65042Kirchgraber, Urs 2 1979 Methoden der analytischen Störungsrechnung und ihre Anwendungen. Zbl 0411.34050Kirchgraber, Urs; Stiefel, Eduard 22 1978 Sur une méthode de stabilisation en analyse numérique. Zbl 0372.65029Kirchgraber, Urs 2 1978 Error bounds for perturbation methods. Zbl 0343.34040Kirchgraber, Urs 1 1976 New a posteriori bounds in the method of averages. Zbl 0357.65049Kirchgraber, U. 1 1974 The transformation behaviour of perturbation theories. Zbl 0258.34052Kirchgraber, Urs 5 1973 A problem of orbital dynamics, which is separable in KS-variables. Zbl 0229.70032Kirchgraber, Urs 5 1971 all cited Publications top 5 cited Publications all top 5 Cited by 228 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 Martin, Pablo 3 Mazur, Marcin 3 Murua, Ander 3 Wanner, Thomas 2 Bates, Peter W. 2 Chen, Chaonien 2 Duan, Jinqiao 2 Farkas, Gyula 2 Garay, Barnabas M. 2 García, Amelia 2 González, Ana-Belén 2 Hill, Adrian T. 2 López Fenner, Julio 2 Lu, Kening 2 Manz, Ulrich 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 Sallam, Sallam N. 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 1 Abed, Eyad H. 1 Abouelmagd, Elbaz I. 1 Afshari, Mehdi 1 Alho, Artur 1 Alvarez-Gallegos, Joaquín 1 Ambrosetti, Antonio 1 Anwar, Mohamed Naim Yehia 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 Chiarelli, Sandra 1 Chicone, Carmen C. 1 Chung, Yi-Min 1 Cian, Giuseppe 1 Coomes, Brian A. 1 Dambrosio, Walter 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 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 ...and 128 more Authors all top 5 Cited in 73 Serials 12 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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Journal of Dynamics and Differential Equations 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Nonlinear Analysis. Theory, Methods & Applications 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Physica D 3 Applied Mathematics Letters 3 Journal of Difference Equations and Applications 3 Communications in Nonlinear Science and Numerical Simulation 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 Journal of Mathematical Biology 2 Mathematics of Computation 2 Computing 2 Journal of Computational and Applied Mathematics 2 Transactions of the American Mathematical Society 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 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 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 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 87 Dynamical systems and ergodic theory (37-XX) 78 Ordinary differential equations (34-XX) 36 Numerical analysis (65-XX) 30 Mechanics of particles and systems (70-XX) 14 Partial differential equations (35-XX) 8 Difference and functional equations (39-XX) 8 Global analysis, analysis on manifolds (58-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 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 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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