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## Lauterbach, Reiner

Compute Distance To:
 Author ID: lauterbach.reiner Published as: Lauterbach, R.; Lauterbach, Reiner External Links: MGP · Wikidata · ORCID
 Documents Indexed: 35 Publications since 1983, including 1 Book Reviewing Activity: 12 Reviews
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#### Co-Authors

 10 single-authored 6 Chossat, Pascal 4 Guyard, Frédéric 3 Maier-Paape, Stanislaus 2 Opfer, Gerhard 1 Chillingworth, D. R. J. 1 Chillingworth, David R. 1 Chow, Shui-Nee 1 Chow, Shuinee 1 Corless, Robert Malcolm 1 Gatermann, Karin 1 Golubitsky, Martin A. 1 Kielhöfer, Hansjörg 1 Melbourne, Ian 1 Möller, Hans Michael 1 Reissner, Ernst 1 Roberts, Richard Mark 1 Sanders, Jan A. 1 Schwenker, Sören Niklas 1 Turzi, Stefano S.
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#### Serials

 3 Nonlinear Analysis. Theory, Methods & Applications 2 Archive for Rational Mechanics and Analysis 2 Journal of Dynamics and Differential Equations 2 Advances in Applied Clifford Algebras 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Transactions of the American Mathematical Society 1 Journal of Symbolic Computation 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Dynamical Systems 1 SIAM Journal on Applied Dynamical Systems 1 Advanced Series in Nonlinear Dynamics 1 Journal of Physics A: Mathematical and Theoretical
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#### Fields

 22 Dynamical systems and ergodic theory (37-XX) 16 Ordinary differential equations (34-XX) 14 Global analysis, analysis on manifolds (58-XX) 7 Partial differential equations (35-XX) 4 Topological groups, Lie groups (22-XX) 3 Commutative algebra (13-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 256 times in 196 Documents Cited by Year
Methods in equivariant bifurcations and dynamical systems. Zbl 0968.37001
Chossat, Pascal; Lauterbach, Reiner
2000
Steady-state bifurcation with O(3)-symmetry. Zbl 0722.58031
Chossat, Pascal; Lauterbach, Reiner; Melbourne, Ian
1991
A bifurcation theorem for critical points of variational problems. Zbl 0659.58007
Chow, Shui-Nee; Lauterbach, Reiner
1988
On the principle of reduced stability. Zbl 0522.58013
Kielhoefer, Hansjoerg; Lauterbach, Reiner
1983
Bifurcations from synchrony in homogeneous networks: linear theory. Zbl 1165.37018
Golubitsky, Martin; Lauterbach, Reiner
2009
Heteroclinic cycles in dynamical systems with broken spherical symmetry. Zbl 0765.34028
Lauterbach, Reiner; Roberts, Mark
1992
Heteroclinic cycles for reaction diffusion systems by forced symmetry-breaking. Zbl 0956.37037
Maier-Paape, Stanislaus; Lauterbach, Reiner
2000
A systematic study of heteroclinic cycles in dynamical systems with broken symmetries. Zbl 0866.58052
Lauterbach, Reiner; Maier-Paape, Stanislaus; Reissner, Ernst
1996
Symmetry-breaking at non-positive solutions of semilinear elliptic equations. Zbl 0805.35034
Lauterbach, Reiner; Maier, Stanislaus
1994
The instability of axisymmetric solutions in problems with spherical symmetry. Zbl 0708.22012
Chossat, Pascal; Lauterbach, Reiner
1989
An example of symmetry breaking with submaximal isotropy subgroup. Zbl 0601.58019
Lauterbach, Reiner
1986
Automatic classification of normal forms. Zbl 0947.34023
Gatermann, Karin; Lauterbach, Reiner
1998
Generalized heteroclinic cycles in spherically invariant systems and their perturbations. Zbl 0974.37032
Chossat, P.; Guyard, F.; Lauterbach, R.
1999
Bifurcation analysis for spherically symmetric systems using invariant theory. Zbl 0889.58069
Lauterbach, Reiner; Sanders, Jan A.
1997
Forced symmetry breaking from $$\mathbf O(3)$$. Zbl 0766.58040
Lauterbach, Reiner
1992
Hopf bifurcation from a turning point. Zbl 0555.34037
Lauterbach, Reiner
1985
Forced symmetry breaking perturbations for periodic solutions. Zbl 0944.34038
Guyard, F.; Lauterbach, R.
1997
Spontaneous symmetry breaking in higher dimensional fixed point spaces. Zbl 0760.58009
Lauterbach, Reiner
1992
Dynamics near steady state bifurcations in problems with spherical symmetry. Zbl 0734.58035
Lauterbach, Reiner
1991
Equivariant bifurcations in four-dimensional fixed point spaces. Zbl 1362.37103
Lauterbach, Reiner; Schwenker, Sören Niklas
2017
Molien series and low-degree invariants for a natural action of $$\mathrm{SO}(3)\,\wr \,\mathrm{Z}_{2}$$. Zbl 1316.22021
Chillingworth, D. R. J.; Lauterbach, R.; Turzi, S. S.
2015
Erratum to: “The Jacobi matrix for functions in noncommutative algebras”. Zbl 1336.65071
Lauterbach, Reiner; Opfer, Gerhard
2014
The Jacobi matrix for functions in noncommutative algebras. Zbl 1316.65049
Lauterbach, Reiner; Opfer, Gerhard
2014
Dynamics and geometry in forced symmetry breaking: a tetrahedral example. Zbl 1070.37033
Chillingworth, David; Lauterbach, Reiner
2004
Forced symmetry breaking: Theory and applications. Zbl 0987.37045
Guyard, Frederic; Lauterbach, Reiner
1999
Hartman-Grobman theorem and orbit space reduction. Zbl 0932.37009
Chossat, Pascal; Lauterbach, Reiner
1997
Exclusion of relative equilibria. Zbl 0811.58014
Lauterbach, Reiner; Chossat, Pascal
1994
Hopf bifurcation at a degenerate stationary pitchfork. Zbl 0594.34042
Lauterbach, Reiner
1986
Equivariant bifurcations in four-dimensional fixed point spaces. Zbl 1362.37103
Lauterbach, Reiner; Schwenker, Sören Niklas
2017
Molien series and low-degree invariants for a natural action of $$\mathrm{SO}(3)\,\wr \,\mathrm{Z}_{2}$$. Zbl 1316.22021
Chillingworth, D. R. J.; Lauterbach, R.; Turzi, S. S.
2015
Erratum to: “The Jacobi matrix for functions in noncommutative algebras”. Zbl 1336.65071
Lauterbach, Reiner; Opfer, Gerhard
2014
The Jacobi matrix for functions in noncommutative algebras. Zbl 1316.65049
Lauterbach, Reiner; Opfer, Gerhard
2014
Bifurcations from synchrony in homogeneous networks: linear theory. Zbl 1165.37018
Golubitsky, Martin; Lauterbach, Reiner
2009
Dynamics and geometry in forced symmetry breaking: a tetrahedral example. Zbl 1070.37033
Chillingworth, David; Lauterbach, Reiner
2004
Methods in equivariant bifurcations and dynamical systems. Zbl 0968.37001
Chossat, Pascal; Lauterbach, Reiner
2000
Heteroclinic cycles for reaction diffusion systems by forced symmetry-breaking. Zbl 0956.37037
Maier-Paape, Stanislaus; Lauterbach, Reiner
2000
Generalized heteroclinic cycles in spherically invariant systems and their perturbations. Zbl 0974.37032
Chossat, P.; Guyard, F.; Lauterbach, R.
1999
Forced symmetry breaking: Theory and applications. Zbl 0987.37045
Guyard, Frederic; Lauterbach, Reiner
1999
Automatic classification of normal forms. Zbl 0947.34023
Gatermann, Karin; Lauterbach, Reiner
1998
Bifurcation analysis for spherically symmetric systems using invariant theory. Zbl 0889.58069
Lauterbach, Reiner; Sanders, Jan A.
1997
Forced symmetry breaking perturbations for periodic solutions. Zbl 0944.34038
Guyard, F.; Lauterbach, R.
1997
Hartman-Grobman theorem and orbit space reduction. Zbl 0932.37009
Chossat, Pascal; Lauterbach, Reiner
1997
A systematic study of heteroclinic cycles in dynamical systems with broken symmetries. Zbl 0866.58052
Lauterbach, Reiner; Maier-Paape, Stanislaus; Reissner, Ernst
1996
Symmetry-breaking at non-positive solutions of semilinear elliptic equations. Zbl 0805.35034
Lauterbach, Reiner; Maier, Stanislaus
1994
Exclusion of relative equilibria. Zbl 0811.58014
Lauterbach, Reiner; Chossat, Pascal
1994
Heteroclinic cycles in dynamical systems with broken spherical symmetry. Zbl 0765.34028
Lauterbach, Reiner; Roberts, Mark
1992
Forced symmetry breaking from $$\mathbf O(3)$$. Zbl 0766.58040
Lauterbach, Reiner
1992
Spontaneous symmetry breaking in higher dimensional fixed point spaces. Zbl 0760.58009
Lauterbach, Reiner
1992
Steady-state bifurcation with O(3)-symmetry. Zbl 0722.58031
Chossat, Pascal; Lauterbach, Reiner; Melbourne, Ian
1991
Dynamics near steady state bifurcations in problems with spherical symmetry. Zbl 0734.58035
Lauterbach, Reiner
1991
The instability of axisymmetric solutions in problems with spherical symmetry. Zbl 0708.22012
Chossat, Pascal; Lauterbach, Reiner
1989
A bifurcation theorem for critical points of variational problems. Zbl 0659.58007
Chow, Shui-Nee; Lauterbach, Reiner
1988
An example of symmetry breaking with submaximal isotropy subgroup. Zbl 0601.58019
Lauterbach, Reiner
1986
Hopf bifurcation at a degenerate stationary pitchfork. Zbl 0594.34042
Lauterbach, Reiner
1986
Hopf bifurcation from a turning point. Zbl 0555.34037
Lauterbach, Reiner
1985
On the principle of reduced stability. Zbl 0522.58013
Kielhoefer, Hansjoerg; Lauterbach, Reiner
1983
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#### Cited by 265 Authors

 14 Chossat, Pascal 11 Lauterbach, Reiner 8 Stewart, Ian Nicholas 6 Sanders, Jan A. 5 Golubitsky, Martin A. 5 Kielhöfer, Hansjörg 5 Maier-Paape, Stanislaus 5 Melbourne, Ian 5 Nijholt, Eddie 5 Rink, Bob W. 4 Aguiar, Manuela A. D. 4 Dias, Ana Paula S. 4 Faye, Grégory 4 Fiedler, Bernold 4 Gomes, M. Gabriela M. 4 Healey, Timothy J. 4 López, Juan Manuel 4 Parker, M. J. 3 Bartsch, Thomas J. 3 Budanur, Nazmi Burak 3 Clapp, Mónica 3 Faugeras, Olivier Paul 3 Field, Michael J. 3 Gatermann, Karin 3 Manoel, Miriam 3 Marques, Francisco 3 Moehlis, Jeff 3 Podvigina, Ol’ga Mikhaĭlovna 3 Veltz, Romain 2 Ashwin, Peter 2 Balanov, Zalman I. 2 Baptistelli, Patrícia H. 2 Beyn, Wolf-Jürgen 2 Buono, Pietro-Luciano 2 Chan, Bernard S. 2 Cvitanović, Predrag 2 Dangelmayr, Gerhard 2 Dionne, Benoit 2 Fitzpatrick, Patrick Michael 2 Guyard, Frédéric 2 Homburg, Ale Jan 2 Hubert, Evelyne 2 Janovská, Drahoslava 2 Knobloch, Edgar 2 Krawcewicz, Wieslaw Z. 2 Krupa, Martin 2 Lohse, Alexander 2 Moreira, Célia S. 2 Opfer, Gerhard 2 Pejsachowicz, Jacobo 2 Rabier, Patrick J. 2 Rankin, James 2 Recke, Lutz 2 Richardson, Roger Wolcott 2 Salazar, Dora 2 Schwenker, Sören Niklas 2 Soares, Pedro A. jun. 2 Sottocornola, Nicola 2 Sourdis, Christos 2 Taliaferro, Steven D. 2 Thümmler, Vera 2 Wanner, Thomas 2 Ward, Michael J. 1 Alexander, James Crew 1 Altimari, Pietro 1 Ambrosetti, Antonio 1 Anastassiou, Stavros 1 Avitabile, Daniele 1 Azimi, Sajjad 1 Barreiro, Andrea K. 1 Bazan, Erick Rodriguez 1 Beltrame, Philippe 1 Bick, Christian 1 Blackburn, Hugh M. 1 Böhmer, Klaus 1 Bosch Vivancos, I. 1 Bougherara, Brahim 1 Bowers, Roger G. 1 Callahan, T. K. 1 Carretero-González, Ricardo 1 Castro, Sofia B. S. D. 1 Chergui, Jalel 1 Cherif, Alhaji 1 Chillingworth, D. R. J. 1 Chillingworth, David R. 1 Chow, Shuinee 1 Coombes, Stephen 1 Corless, Robert Malcolm 1 Coutinho, Andréia S. 1 Crescitelli, Silvestro 1 Cressman, Ross 1 Da Conceição A. Leite, Maria 1 Dai, Jia-Yuan 1 D’Alessandro, Giampaolo 1 Dawes, Jonathan H. P. 1 de Oliveira Zeli, Iris 1 Deng, Bo 1 Desroches, Mathieu 1 DeVille, Lee 1 Dharmavaram, Sanjay ...and 165 more Authors
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#### Cited in 81 Serials

 14 Physica D 11 Journal of Nonlinear Science 10 Journal of Differential Equations 9 Archive for Rational Mechanics and Analysis 9 Journal of Dynamics and Differential Equations 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Mathematical Biology 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Symbolic Computation 5 SIAM Journal on Mathematical Analysis 5 SIAM Journal on Applied Dynamical Systems 4 Journal of Fluid Mechanics 4 Journal of Mathematical Analysis and Applications 4 Nonlinearity 4 Transactions of the American Mathematical Society 4 Dynamical Systems 3 The Journal of Mathematical Neuroscience 2 Journal of Mathematical Physics 2 Chaos, Solitons and Fractals 2 Journal of Functional Analysis 2 Journal of Pure and Applied Algebra 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Dynamics and Stability of Systems 2 Linear Algebra and its Applications 2 Chaos 2 Nonlinear Analysis. Real World Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Fixed Point Theory and Applications 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Theoretical and Computational Fluid Dynamics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 International Journal of Game Theory 1 Journal of Computational and Applied Mathematics 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Journal of Scientific Computing 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential Geometry and its Applications 1 Annals of Physics 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Calculus of Variations and Partial Differential Equations 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Applied Clifford Algebras 1 Journal of Computational Neuroscience 1 Nonlinear Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 LMS Journal of Computation and Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 GAMM-Mitteilungen 1 Journal of Singularities 1 Dynamic Games and Applications 1 Journal of Applied Analysis and Computation 1 Journal of Computational Dynamics
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#### Cited in 34 Fields

 100 Dynamical systems and ergodic theory (37-XX) 66 Ordinary differential equations (34-XX) 62 Partial differential equations (35-XX) 35 Global analysis, analysis on manifolds (58-XX) 24 Biology and other natural sciences (92-XX) 18 Operator theory (47-XX) 14 Fluid mechanics (76-XX) 10 Numerical analysis (65-XX) 8 Group theory and generalizations (20-XX) 8 Mechanics of particles and systems (70-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Commutative algebra (13-XX) 6 Combinatorics (05-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Topological groups, Lie groups (22-XX) 5 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX)

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