Edit Profile (opens in new tab) Waalkens, Holger Co-Author Distance Author ID: waalkens.holger Published as: Waalkens, Holger; Waalkens, H. Documents Indexed: 39 Publications since 1997, including 10 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 32 Co-Authors with 40 Joint Publications 603 Co-Co-Authors all top 5 Co-Authors 0 single-authored 11 Dullin, Holger R. 6 Wiggins, Stephen R. 4 Çiftçi, Ünver 4 Efstathiou, Konstantinos 4 Hoveijn, Igor 4 Pap, Eric J. 3 Boer, Daniël 3 Schubert, Roman 2 Ghane, Hamed 2 Goussev, Arseni 2 Hales, Robert F. M. 2 Krajňák, Vladimír 2 Lin, Bohuan 2 Martynchuk, Nikolay N. 2 Richter, Peter H. 2 Sterk, Alef E. 2 Wiersig, Jan 1 Broer, Henk W. 1 Burbanks, Andrew D. 1 Chiscop, Irina 1 Creagh, Stephen C. 1 de Neeling, Dijs 1 Hanßmann, Heinz 1 Jung, Christof 1 Junge, A. 1 Roest, Diederik 1 Seri, Marcello 1 Sieber, Martin 1 Tanner, Gregor K. 1 van Strien, Sebastian J. 1 Veselov, Alexander Petrovich 1 Zaman, Mohammad Asif all top 5 Serials 4 Annals of Physics 4 Journal of Physics A: Mathematical and General 4 Indagationes Mathematicae. New Series 3 Nonlinearity 3 Physica D 3 Regular and Chaotic Dynamics 2 Journal of Mathematical Chemistry 2 Journal of Physics A: Mathematical and Theoretical 1 Journal of Mathematical Physics 1 IMA Journal of Mathematical Control and Information 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Physical Review Letters 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications all top 5 Fields 19 Dynamical systems and ergodic theory (37-XX) 15 Quantum theory (81-XX) 14 Mechanics of particles and systems (70-XX) 4 Differential geometry (53-XX) 4 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 180 times in 116 Documents Cited by ▼ Year ▼ Wigner’s dynamical transition state theory in phase space: Classical and quantum. Zbl 1153.81017 Waalkens, Holger; Schubert, Roman; Wiggins, Stephen 34 2008 The problem of two fixed centers: bifurcations, actions, monodromy. Zbl 1098.70515 Waalkens, Holger; Dullin, Holger R.; Richter, Peter H. 29 2004 Direct constructions of a dividing surface of minimal flux for multi-degree-of-freedom systems that cannot be recrossed. Zbl 1060.37046 Waalkens, H.; Wiggins, S. 22 2004 Quantum monodromy in prolate ellipsoidal billiards. Zbl 1001.37042 Waalkens, Holger; Dullin, Holger R. 11 2002 Geometrical models of the phase space structures governing reaction dynamics. Zbl 1229.37046 Waalkens, H.; Wiggins, S. 11 2010 Actions of the Neumann systems via Picard-Fuchs equations. Zbl 1001.70013 Dullin, Holger R.; Richter, Peter H.; Veselov, Alexander P.; Waalkens, Holger 9 2001 Nonuniqueness of the phase shift in central scattering due to monodromy. Zbl 1228.81263 Dullin, Holger R.; Waalkens, Holger 9 2008 The phase space geometry underlying roaming reaction dynamics. Zbl 1401.92231 Krajňák, Vladimír; Waalkens, Holger 7 2018 Quantum monodromy in the two-centre problem. Zbl 1038.81069 Waalkens, H.; Junge, A.; Dullin, H. R. 7 2003 A formula to compute the microcanonical volume of reactive initial conditions in transition state theory. Zbl 1077.82005 Waalkens, H.; Burbanks, A.; Wiggins, S. 6 2005 Elliptic quantum billiard. Zbl 0929.37008 Waalkens, Holger; Wiersig, Jan; Dullin, Holger R. 5 1997 Scattering invariants in Euler’s two-center problem. Zbl 1410.37058 Martynchuk, N.; Dullin, H. R.; Efstathiou, K.; Waalkens, H. 4 2019 Knauf’s degree and monodromy in planar potential scattering. Zbl 1368.37066 Martynchuk, Nikolay; Waalkens, Holger 4 2016 Phase space structures governing reaction dynamics in rotating molecules. Zbl 1237.70024 Çiftçi, Ünver; Waalkens, Holger 4 2012 Critical points of the integral map of the charged three-body problem. Zbl 1433.70018 Hoveijn, I.; Waalkens, H.; Zaman, M. 3 2019 Triaxial ellipsoidal quantum billiards. Zbl 0962.81016 Waalkens, Holger; Wiersig, Jan; Dullin, Holger R. 2 1999 Cotangent bundle reduction and Poincaré-Birkhoff normal forms. Zbl 1417.37192 Çiftçi, Ünver; Waalkens, Holger; Broer, Henk W. 2 2014 Maslov indices and monodromy. Zbl 1181.37085 Dullin, H. R.; Robbins, J. M.; Waalkens, H.; Creagh, S. C.; Tanner, G. 2 2005 A unified view on geometric phases and exceptional points in adiabatic quantum mechanics. Zbl 1484.81050 Pap, Eric J.; Boer, Daniël; Waalkens, Holger 2 2022 Chaotic dynamics from a pseudo-linear system. Zbl 1447.93136 Ghane, Hamed; Sterk, Alef E.; Waalkens, Holger 2 2020 Dynamics associated with the normally hyperbolic invariant manifold that governs the ionization of hydrogen in a circularly polarized electric field. Zbl 1448.37072 Jung, Christof; Waalkens, Holger 2 2020 Holonomy-reduced dynamics of triatomic molecules. Zbl 1385.70038 Çiftçi, Ünver; Waalkens, Holger 1 2011 Critical points at infinity in charged \(N\)-body systems. Zbl 1517.81047 Hoveijn, I.; Waalkens, H.; Zaman, M. 1 2023 Phase space structures causing the reaction rate decrease in the collinear hydrogen exchange reaction. Zbl 1432.92118 Krajňák, Vladimír; Waalkens, Holger 1 2020 Critical points at infinity in charged \(N\)-body systems. Zbl 1517.81047 Hoveijn, I.; Waalkens, H.; Zaman, M. 1 2023 A unified view on geometric phases and exceptional points in adiabatic quantum mechanics. Zbl 1484.81050 Pap, Eric J.; Boer, Daniël; Waalkens, Holger 2 2022 Chaotic dynamics from a pseudo-linear system. Zbl 1447.93136 Ghane, Hamed; Sterk, Alef E.; Waalkens, Holger 2 2020 Dynamics associated with the normally hyperbolic invariant manifold that governs the ionization of hydrogen in a circularly polarized electric field. Zbl 1448.37072 Jung, Christof; Waalkens, Holger 2 2020 Phase space structures causing the reaction rate decrease in the collinear hydrogen exchange reaction. Zbl 1432.92118 Krajňák, Vladimír; Waalkens, Holger 1 2020 Scattering invariants in Euler’s two-center problem. Zbl 1410.37058 Martynchuk, N.; Dullin, H. R.; Efstathiou, K.; Waalkens, H. 4 2019 Critical points of the integral map of the charged three-body problem. Zbl 1433.70018 Hoveijn, I.; Waalkens, H.; Zaman, M. 3 2019 The phase space geometry underlying roaming reaction dynamics. Zbl 1401.92231 Krajňák, Vladimír; Waalkens, Holger 7 2018 Knauf’s degree and monodromy in planar potential scattering. Zbl 1368.37066 Martynchuk, Nikolay; Waalkens, Holger 4 2016 Cotangent bundle reduction and Poincaré-Birkhoff normal forms. Zbl 1417.37192 Çiftçi, Ünver; Waalkens, Holger; Broer, Henk W. 2 2014 Phase space structures governing reaction dynamics in rotating molecules. Zbl 1237.70024 Çiftçi, Ünver; Waalkens, Holger 4 2012 Holonomy-reduced dynamics of triatomic molecules. Zbl 1385.70038 Çiftçi, Ünver; Waalkens, Holger 1 2011 Geometrical models of the phase space structures governing reaction dynamics. Zbl 1229.37046 Waalkens, H.; Wiggins, S. 11 2010 Wigner’s dynamical transition state theory in phase space: Classical and quantum. Zbl 1153.81017 Waalkens, Holger; Schubert, Roman; Wiggins, Stephen 34 2008 Nonuniqueness of the phase shift in central scattering due to monodromy. Zbl 1228.81263 Dullin, Holger R.; Waalkens, Holger 9 2008 A formula to compute the microcanonical volume of reactive initial conditions in transition state theory. Zbl 1077.82005 Waalkens, H.; Burbanks, A.; Wiggins, S. 6 2005 Maslov indices and monodromy. Zbl 1181.37085 Dullin, H. R.; Robbins, J. M.; Waalkens, H.; Creagh, S. C.; Tanner, G. 2 2005 The problem of two fixed centers: bifurcations, actions, monodromy. Zbl 1098.70515 Waalkens, Holger; Dullin, Holger R.; Richter, Peter H. 29 2004 Direct constructions of a dividing surface of minimal flux for multi-degree-of-freedom systems that cannot be recrossed. Zbl 1060.37046 Waalkens, H.; Wiggins, S. 22 2004 Quantum monodromy in the two-centre problem. Zbl 1038.81069 Waalkens, H.; Junge, A.; Dullin, H. R. 7 2003 Quantum monodromy in prolate ellipsoidal billiards. Zbl 1001.37042 Waalkens, Holger; Dullin, Holger R. 11 2002 Actions of the Neumann systems via Picard-Fuchs equations. Zbl 1001.70013 Dullin, Holger R.; Richter, Peter H.; Veselov, Alexander P.; Waalkens, Holger 9 2001 Triaxial ellipsoidal quantum billiards. Zbl 0962.81016 Waalkens, Holger; Wiersig, Jan; Dullin, Holger R. 2 1999 Elliptic quantum billiard. Zbl 0929.37008 Waalkens, Holger; Wiersig, Jan; Dullin, Holger R. 5 1997 all cited Publications top 5 cited Publications all top 5 Cited by 140 Authors 21 Wiggins, Stephen R. 14 Waalkens, Holger 11 Efstathiou, Konstantinos 10 Dullin, Holger R. 7 Katsanikas, Matthaios 6 Martynchuk, Nikolay N. 6 Naik, Shibabrat 5 Broer, Henk W. 5 García-Garrido, Víctor J. 5 Jung, Christof 5 Krajňák, Vladimír 5 Zhilinskií, Boris I. 4 Agaoglou, Makrina 4 Ezra, Gregory S. 4 Gonzalez Montoya, Francisco 4 Kim, Seongchan 4 Main, Jörg 4 Sadovskií, Dmitrií A. 3 Bäcker, Arnd 3 Cushman, Richard H. 3 Dragović, Vladimir 3 Hernandez, Rigoberto 3 Radnović, Milena 3 Reiff, Johannes 2 Bolsinov, Alexey V. 2 Davison, Chris M. 2 Dietz, Barbara 2 Giacobbe, Andrea 2 Hanßmann, Heinz 2 Hoveijn, Igor 2 Ketzmerick, Roland 2 Lange, Steffen 2 Lyu, Wenyang 2 Mardešić, Pavao 2 Meiss, James D. 2 Novak, Tina 2 Onken, Franziska 2 Sugny, Dominique 2 Tsyganov, Andreĭ Vladimirovich 2 Veselov, Alexander Petrovich 2 Zotos, Euaggelos E. 1 Aguilar-Sanjuan, Broncio 1 Arenson, Joshua G. 1 Ariel, Gil 1 Bardakcioglu, Robin 1 Blazevski, Daniel 1 Borisov, Alekseĭ Vladimirovich 1 Brezhnev, Yurii V. 1 Burby, Joshua W. 1 Casas, Pablo S. 1 Castelli, Roberto 1 Chen, Wei 1 Chiscop, Irina 1 Çiftçi, Ünver 1 Collins, Peter J. 1 de la Llave, Rafael 1 de la Torre Mayado, Marina 1 Enolskiĭ, Viktor Zelikovich 1 Fedorov, Yuri N. 1 Feldmaier, Matthias 1 Franklin, Jennifer 1 Fring, Andreas 1 Gaiko, Valery A. 1 García Rodríguez, José Antonio 1 González León, Miguel Angel 1 Grava, Tamara 1 Guzzo, Massimiliano 1 Haigh, Douglas 1 Hales, Robert F. M. 1 Hao, Qingyi 1 Hezari, Hamid 1 Hillebrand, Malcolm 1 Hsieh, Wen-Yuan 1 Huang, Liang 1 Jauslin, Hans-Rudolf 1 Jebrane, Ahmed 1 Jiménez-Lara, Lidia 1 Junginger, Andrej 1 Keshavamurthy, Srihari 1 Komatsuzaki, Tamiki 1 Kuchelmeister, Manuel 1 Liang, Yew-Wen 1 Lin, Bohuan 1 Lin, Li-Gang 1 Llibre, Jaume 1 MacKay, Robert Sinclair 1 Maier, Rodrigo 1 Mandell, Cate 1 Mateos Guilarte, Juan 1 Mauguière, Frédéric A. L. 1 Merlo, Olivier 1 Mitchell, Kevin A. 1 Miyashita, Saki 1 Mizuno, Yuta 1 Mögerle, Johannes 1 Nagahata, Yutaka 1 Nekhoroshev, Nikolaĭ Nikolaevich 1 Páez, Rocío Isabel 1 Pandey, Priyanka 1 Pantazi, Chara ...and 40 more Authors all top 5 Cited in 37 Serials 18 Regular and Chaotic Dynamics 14 Physica D 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Chaos 6 Journal of Mathematical Physics 6 Communications in Nonlinear Science and Numerical Simulation 5 Communications in Mathematical Physics 4 Journal of Physics A: Mathematical and Theoretical 3 Nonlinearity 3 Journal of Geometry and Physics 3 Indagationes Mathematicae. New Series 3 Journal of Mathematical Chemistry 3 Qualitative Theory of Dynamical Systems 2 Archive for Rational Mechanics and Analysis 2 Letters in Mathematical Physics 2 Physics Letters. A 1 Classical and Quantum Gravity 1 Journal of Statistical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Acta Applicandae Mathematicae 1 Differential Geometry and its Applications 1 Annals of Physics 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 New Journal of Physics 1 Physical Review Letters 1 Journal of Nonlinear Mathematical Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Advances in Difference Equations 1 Journal of Spectral Theory all top 5 Cited in 34 Fields 81 Dynamical systems and ergodic theory (37-XX) 56 Mechanics of particles and systems (70-XX) 24 Quantum theory (81-XX) 12 Differential geometry (53-XX) 11 Ordinary differential equations (34-XX) 10 Biology and other natural sciences (92-XX) 9 Partial differential equations (35-XX) 7 Optics, electromagnetic theory (78-XX) 6 Algebraic geometry (14-XX) 5 Numerical analysis (65-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Astronomy and astrophysics (85-XX) 2 Approximations and expansions (41-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year