Edit Profile Bäcker, Arnd Compute Distance To: Compute Author ID: backer.arnd Published as: Bäcker, A.; Bäcker, Arnd External Links: ORCID Documents Indexed: 24 Publications since 1997 all top 5 Co-Authors 1 single-authored 4 Ketzmerick, Roland 4 Schubert, Roman 2 Anastassiou, Stavros 2 Aurich, Ralf 2 Dullin, Holger R. 2 Lakshminarayan, Arul 2 Lange, Steffen 2 Meiss, James D. 2 Onken, Franziska 2 Srivastava, Shashi C. L. 2 Taglieber, Michael 2 Tomsovic, Steven 1 Bountis, Anastasios 1 Bountis, Tassos C. 1 Haag, Grischa 1 Löck, Steffen 1 Richter, M. W. all top 5 Serials 4 Journal of Physics A: Mathematical and General 2 Nonlinearity 2 Chaos 2 Regular and Chaotic Dynamics 1 Physica D 1 Physical Review Letters 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 9 Dynamical systems and ergodic theory (37-XX) 9 Quantum theory (81-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 14 Publications have been cited 47 times in 43 Documents Cited by ▼ Year ▼ On the number of bouncing ball modes in billiards. Zbl 0925.81030Bäcker, A.; Schubert, R.; Stifter, P. 8 1997 Numerical aspects of eigenvalue and eigenfunction computations for chaotic quantum systems. Zbl 1046.81040Bäcker, Arnd 6 2003 Maximum norms of chaotic quantum eigenstates and random waves. Zbl 0960.81019Aurich, R.; Bäcker, A.; Schubert, R.; Taglieber, M. 6 1999 Symbolic dynamics and periodic orbits for the cardioid billiard. Zbl 0930.37002Bäcker, A.; Dullin, H. R. 5 1997 Global structure of regular tori in a generic 4D symplectic map. Zbl 1345.37057Lange, S.; Richter, M.; Onken, F.; Bäcker, A.; Ketzmerick, R. 4 2014 Homoclinic points of 2D and 4D maps via the parametrization method. Zbl 1381.37036Anastassiou, Stavros; Bountis, Tassos; Bäcker, Arnd 3 2017 Behaviour of boundary functions for quantum billiards. Zbl 1048.81025Bäcker, A.; Fürstberger, S.; Schubert, R.; Steiner, F. 3 2002 Quantum chaos and quantum ergodicity. Zbl 1001.81026Bäcker, A.; Steiner, F. 3 2001 Bifurcations of families of 1D-tori in 4D symplectic maps. Zbl 1374.37075Onken, Franziska; Lange, Steffen; Ketzmerick, Roland; Bäcker, Arnd 2 2016 Universal scaling of spectral fluctuation transitions for interacting chaotic systems. Zbl 1356.81141Srivastava, Shashi C. L.; Tomsovic, Steven; Lakshminarayan, Arul; Ketzmerick, Roland; Bäcker, Arnd 2 2016 Autocorrelation function of eigenstates in chaotic and mixed systems. Zbl 1041.81045Bäcker, Arnd; Schubert, Roman 2 2002 Recent results on the dynamics of higher-dimensional Hénon maps. Zbl 1400.37033Anastassiou, Stavros; Bountis, Anastasios; Bäcker, Arnd 1 2018 Amplitude distribution of eigenfunctions in mixed systems. Zbl 1041.81044Bäcker, Arnd; Schubert, Roman 1 2002 About ergodicity in the family of limaçon billiards. Zbl 1001.37031Dullin, Holger R.; Bäcker, Arnd 1 2001 Recent results on the dynamics of higher-dimensional Hénon maps. Zbl 1400.37033Anastassiou, Stavros; Bountis, Anastasios; Bäcker, Arnd 1 2018 Homoclinic points of 2D and 4D maps via the parametrization method. Zbl 1381.37036Anastassiou, Stavros; Bountis, Tassos; Bäcker, Arnd 3 2017 Bifurcations of families of 1D-tori in 4D symplectic maps. Zbl 1374.37075Onken, Franziska; Lange, Steffen; Ketzmerick, Roland; Bäcker, Arnd 2 2016 Universal scaling of spectral fluctuation transitions for interacting chaotic systems. Zbl 1356.81141Srivastava, Shashi C. L.; Tomsovic, Steven; Lakshminarayan, Arul; Ketzmerick, Roland; Bäcker, Arnd 2 2016 Global structure of regular tori in a generic 4D symplectic map. Zbl 1345.37057Lange, S.; Richter, M.; Onken, F.; Bäcker, A.; Ketzmerick, R. 4 2014 Numerical aspects of eigenvalue and eigenfunction computations for chaotic quantum systems. Zbl 1046.81040Bäcker, Arnd 6 2003 Behaviour of boundary functions for quantum billiards. Zbl 1048.81025Bäcker, A.; Fürstberger, S.; Schubert, R.; Steiner, F. 3 2002 Autocorrelation function of eigenstates in chaotic and mixed systems. Zbl 1041.81045Bäcker, Arnd; Schubert, Roman 2 2002 Amplitude distribution of eigenfunctions in mixed systems. Zbl 1041.81044Bäcker, Arnd; Schubert, Roman 1 2002 Quantum chaos and quantum ergodicity. Zbl 1001.81026Bäcker, A.; Steiner, F. 3 2001 About ergodicity in the family of limaçon billiards. Zbl 1001.37031Dullin, Holger R.; Bäcker, Arnd 1 2001 Maximum norms of chaotic quantum eigenstates and random waves. Zbl 0960.81019Aurich, R.; Bäcker, A.; Schubert, R.; Taglieber, M. 6 1999 On the number of bouncing ball modes in billiards. Zbl 0925.81030Bäcker, A.; Schubert, R.; Stifter, P. 8 1997 Symbolic dynamics and periodic orbits for the cardioid billiard. Zbl 0930.37002Bäcker, A.; Dullin, H. R. 5 1997 all cited Publications top 5 cited Publications all top 5 Cited by 83 Authors 6 Bäcker, Arnd 3 Meiss, James D. 3 Wanner, Thomas 2 Aurich, Ralf 2 Barnett, Alex H. 2 Dettmann, Carl P. 2 Lakshminarayan, Arul 2 Srivastava, Shashi C. L. 2 Steinerberger, Stefan 2 Taglieber, Michael 2 Zelditch, Steve 1 Anastassiou, Stavros 1 Antoine, Charles 1 Askham, Travis 1 Astakhova, Tatyana Yu. 1 Bandtlow, Oscar F. 1 Barbosa, Anderson L. R. 1 Betcke, Timo 1 Blömker, Dirk 1 Bolte, Jens 1 Bountis, Anastasios 1 Braun, Peter 1 Burq, Nicolas 1 Chappell, David J. 1 de Aguiar, F. M. 1 de Menezes, D. D. 1 Dennis, Mark R. 1 Duarte-Neto, Paulo J. 1 Fleurantin, Emmanuel 1 Garforth, George 1 Georgiou, Orestis 1 Gradhand, Martin 1 Gros, Jean-Baptiste 1 Han, Xiaolong 1 Hassell, Andrew 1 Heilman, Steven M. 1 Helsing, Johan 1 Hezari, Hamid 1 Houston, Alexander J. H. 1 Huaraca, Walter 1 Jain, Sudhir Ranjan 1 James, J. D. Mireles 1 Just, Wolfram 1 Karlsson, Anders 1 Ketzmerick, Roland 1 Kurlberg, Pär 1 Kwok, Felix 1 Lange, Steffen 1 Legrand, Olivier 1 Leyvraz, Francois 1 Likhachev, V. N. 1 Lopac, V. 1 Maier-Paape, Stanislaus 1 Man’ko, Vladimir Ivanovich 1 Marklof, Jens 1 Mendoza, Valentín 1 Mortessagne, Fabrice 1 Olofsson, Rikard 1 Onken, Franziska 1 Page, Gregory 1 Pausinger, Florian 1 Popov, Dmitrii A. 1 Rachh, Manas 1 Richalot, Elodie 1 Richter, Martin 1 Rosenzweig, Lior 1 Samajdar, Rhine 1 Sander, Evelyn 1 Santos, Eucymara F. N. 1 Schubert, Roman 1 Selemani, Kamardine 1 Seligman, Thomas H. 1 Silva, M. Jar E 1 Simić, Aleksandar 1 Slipantschuk, Julia 1 Strichartz, Robert S. 1 Talbot, Julian 1 Tanner, Gregor K. 1 Tomsovic, Steven 1 Vilelamendes, R. 1 Vinogradov, George A. 1 Wójcik, Daniel K. 1 Zworski, Maciej all top 5 Cited in 27 Serials 5 Chaos 4 Physica D 3 Physics Letters. A 3 Journal of Physics A: Mathematical and Theoretical 2 Communications in Mathematical Physics 2 Transactions of the American Mathematical Society 2 Regular and Chaotic Dynamics 2 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Modern Physics B 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Nonlinearity 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of the American Mathematical Society 1 Calculus of Variations and Partial Differential Equations 1 Fractals 1 Advances in Computational Mathematics 1 New Journal of Physics 1 Annales Henri Poincaré 1 SIAM Journal on Applied Dynamical Systems all top 5 Cited in 21 Fields 21 Dynamical systems and ergodic theory (37-XX) 18 Quantum theory (81-XX) 13 Partial differential equations (35-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year