Gerhard Dangelmayr

Books:

Articles:

  1. C. Strickland, A.C. Liedloff, G.D. Cook, G. Dangelmayr, and P.D. Shipman. The role of water and fire in driving tree dynamics in Australian savannas. Journal of Ecology 104: 828840(2016), doi:10.1111/1365-2745.12550.
  2. C. Strickland, G. Dangelmayr, P.D. Shipman, S. Kumar, and T.J. Stohlgren. Network spread of invasive species and infectious diseases. Ecological Modelling 309-310: 1-9 (2015).
  3. C. Strickland, G. Dangelmayr, and P.D. Shipman. Modeling the presence probability of invasive plant species with nonlocal dispersal. Journal of Mathematical Biology 69:267-294 (2014).
  4. C. Zhang, G. Dangelmayr, and I. Oprea. Storing cycles in Hopfield-type networks with pseudoinverse learning rule: Admissibility and network topology. Neural Networks, 46, 283-298 (2013).
  5. C. Geiger and G. Dangelmayr. Near onset convection patterns in the spherical Benard problem with l=2 critical. J. Comp. Appl. Math., 254, 154--174 (2013). Online (unedited version): http://authors.elsevier.com/sd/article/S0377042713001349
  6. Y. Zou, G. Dangelmayr, and I. Oprea. Intermittency and chaos near Hopf bifurcation with broken O(2) X O(2) symmetry. Int. J. Bifurcation and Chaos, 23, 1350139, 19 pages (2013).
  7. B. Rutherford, G. Dangelmayr, and M.T. Montgomery. Lagrangian coherent structures in tropical cyclone intensification. Atmos. Chem. Phys., 12, 54835507, 2012.  Online: http://www.atmos-chem-phys.net/12/5483/2012/
  8. B. Rutherford, G. Dangelmayr, and M. Kirby. A Time-dependent Lagrangian eyewall. Quart. J. Roy. Met. Soc. 138 (669), 2009-2018, 2012.
  9. G. Acharya, G. Dangelmayr, J. Gleeson, and I.Oprea. Steady state-Hopf mode interactions at the onset of electroconvection in the nematic liquid crystal Phase V. Int. J. Mol. Sci., 12, 4488-4503, 2011.
  10. G. Dangelmayr. Complex dynamics near a Hopf bifurcation with symmetry: A parameter study. Dynamical Systems, Vol 26(1), p. 23-60, 2011.
  11. B. Rutherford and G. Dangelmayr. A 3D Lagrangian hurricane eyewall computation.  Quart. J. Roy. Met. Soc., 136, 1931-1944, 2010.
  12. B. Rutherford, G. Dangelmayr, M. Kirby, M.T. Montgomery, and J. Persing. Lagrangian mixing in an axisymmetric hurricane model. Atmos. Chem. Phys., 10, 6777-6791, 2010.   Online: http://www.atmos-chem-phys.net/10/6777/2010/
  13. B. Rutherford, G. Dangelmayr, W. Schubert, M.T. Montgomery, and J. Persing. Advective mixing in a nondivergent barotropic hurricane model. Atmos. Chem. Phys., 10, 475-497, 2010.   Online: http://www.atmos-chem-phys.net/10/issue2.html
  14. G. Dangelmayr, G. Acharya, J. Gleeson, I. Oprea, and J. Ladd. Diagnosis of spatiotemporal chaos in wave-envelopes of a nematic electroconvection pattern. Physical Review E, 79, 046215, 2009.
  15. N.P. Hanan, W.B. Sea, G. Dangelmayr and N. Govender. Do fires in savannas consume woody biomass? A comment on approaches to modeling savanna dynamics. American Naturalist, 171(6), 851-856 (2008).
  16. I. Oprea and G. Dangelmayr. Dynamics and Bifurcations in the weak electrolyte model for electroconvection in nematic liquid crystals. European Journal of Mechanics, B Fluids, 27(6), 726-749 (2008)
  17. G. Dangelmayr and I. Oprea. Modulational stability of travelling waves in 2D anisotropic systems. Journal of Nonlinear Science, 18(1), 1-56 (2008)
  18. A. Murza, I. Oprea and G. Dangelmayr. Chemical oscillations in a closed sequence of protein folding equilibria, Libertas Mathematica, XXVII, 125--130 (2007)
  19. I. Oprea, I. Tirandaf, G. Dangelmayr and I.B. Schwartz. Quantitative and qualitative characterization of zig zag spatiotemporal chaos in a system of amplitude equations for nematic electroconvection. Chaos, 17(2), 023101, 1-12 (2007)
  20. I. Oprea and G. Dangelmayr. Stability and bifurcations in the electroconvection of nematic liquid crystals. Annals of the University of Bucharest, LV 6, 341-358 (2006)
  21. I. Oprea and G. Dangelmayr. Dynamics and bifurcations in nematic electroconvection. In: Proceedings of the XXXth "Caius Iacob" Conference on Fluid Mechanics and its technical Applications, Bucharest, 2005
  22. P.Ashwin and G. Dangelmayr. Reduced dynamics and symmetric solutions for globally coupled  weakly dissipative oscillators. Dynamical Systems, 20, 333-367 (2005).
  23. E. Allgower, G. Dangelmayr, K. Georg, and I. Oprea. Matrix free approach in the numerical analysis of bifurcations and instabilities. In: Dynamics and Bifurcation of Patterns in Dissipative Systems, G. Dangelmayr and I. Oprea (eds.), World Scientific Series on Nonlinear Science Vol. 12,  World Scientific 2004, p. 20
  24. G. Dangelmayr and I. Oprea. A bifurcation study of wave patterns for electroconvection in nematic liquid crystals. Molecular Crystals Liquid Crystals, 413, 305-320 (2004)
  25. S. Gadaleta and G. Dangelmayr: Learning to control a complex multistable system. Physical Review E 63, 036217--1-12, 2001. Download pdf
  26. J. Schwarz, G. Dangelmayr, K. Braeuer and A. Stevens: Burst and spike synchronization of coupled neural oscillators. Dynamical Systems (formerly Dynamics and Stability of Systems) 16(2), 125-156, 2001.
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  27. S. Gadaleta and G. Dangelmayr: Reinforcement learning chaos control using value sensitive vector-quantization. Proceedings of the International Joint Conference on Neural Networks, July 15-19, 2001, IEEE Catalog Number 0-7803-7044-9, ISSN 1098-7576, Vol. 2, pp. 996-1001.
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  28. P. Ashwin and G. Dangelmayr: Isochronicity-induced bifurcations in systems of weakly dissipative coupled oscillators. Dynamics and Stability of Systems 15(3), 263-286, 2000
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  29. J. Schwarz, K. Braeuer, G. Dangelmayr and A. Stevens: Low-dimensional dynamics and bifurcations in oscillator networks via bi-orthogonal decomposition. J. Phys. A 33, 3555-3566, 2000
  30. S. Gadaleta and G. Dangelmayr: Control of 1-D and 2-D coupled map lattices through reinforcement learning. In: Proc. 2000 2nd International Conference on Control of Oscillations and Chaos, F.L. Chernouska and A.L. Fradkov (eds.), pp. 109-112, IEEE Catalog Number 00TH8521, 2000.
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  31. S. Gadaleta and G. Dangelmayr: Control of a noisy mechanical rotor. In: Problems in Modern Applied Mathematics, N. Mastorakis (ed.), pp. 216-221, World Scientific 2000
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  32. S. Schwarz, A. Sieck, G. Dangelmayr and A. Stevens: Mode dynamics of interacting neural populations by bi-orthogonal spectral decomposition. Biol. Cybern. 82, 231-245, 2000
  33. G. Dangelmayr, S. Gadaleta, D. Hundley and M. Kirby: Time series prediction by estimating Markov probabilities through topology preserving maps. In: Applications and Science of Neural Networks, Fuzzy Sets and Evolutionary Computation II, B. Bosacchi, D. B. Vogel and J. C. Bezdek (eds.), Proceedings of SPIE 44th Annual Meeting, SPIE Proceedings Series Vol. 3812, 1999
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  34. S. Gadaleta and G. Dangelmayr: Optimal chaos control through reinforcement learning. Chaos 9(3), 775 -- 88, 1999
  35. G. Dangelmayr and M.Wegelin: On primary and secondary Hopf bifurcations in anisotropic systems. In: Pattern Formation in Continuous and Coupled System, M. Golubitsky, D. Luss and S. Strogatz (eds.), IMA Volumes in Mathematics and Applications, Volume 115, pp. 33-48, Springer 1999.
  36. G. Dangelmayr and L.Kramer: Mathematical tools for pattern formation. In: Evolution of Spontaneous Structures in Dissipative Continuous Systems, F. H. Busse and S. C. Mueller (eds.), pp. 1-85, Springer 1998.
  37. M. Wegelin, J. Oppenlander, J. Tomes, W. Guttinger and G. Dangelmayr: Synchronized patterns in hierarchical networks of neural oscillators. Physica D 121, 213-32 (1998).
  38. G. Dangelmayr, J. Hettel and E. Knobloch: Parity-breaking bifurcation in inhomogenous systems. Nonlinearity 10, 1093-1114 (1997).
  39. G. Dangelmayr und J.Hettel: Chaos: Determiniertheit und Zufall. In: Komplexitat und Sellastorganisation, Chaos in den Natur-und Kulturwissenschaften; H.Krapp and T.Wagenbaur (eds), Wilhelm Fink Verlag, pp.19-42 (1997).
  40. C. Geiger, G. Dangelmayr, J.D. Rodriguez and W. Guettinger: Symmetry breaking bifurcations in spherical Benard convection. I: Results from singularity theory. Fields Institute Communications Vol. 5, American Mathematical Society, Providence, RI, 225--237 (1996).
  41. J.D. Rodriguez, C. Geiger, G. Dangelmayr and W. Guttinger: Symmetry breaking bifurcations in spherical Benard convection. II: Numerical results. Fields Institute Communications Vol. 5, American Mathematical Society, Providence, RI, 239--253 (1996).
  42. J. Oppenlaender, G. Dangelmayr and W. Guettinger: Nonlinear pattern dynamics in two--dimensional Josephson junction arrays. Phys. Rev. B 54 (1), 1213-1227 (1996).
  43. G. Dangelmayr and J.D. Rodriguez: Bifurcation of Traveling Waves in Extended Systems. In: Advanced Series in Nonlinear Dynamics Vol. 7, Proceedings of the IUTAM/ISIMM Symposium on Structure and Dynamics of Nonlinear Waves in Fluids, A. Mielke and K. Kirchgaessner, eds., World Scientific Publishing Co. Pte. Ltd. (1995). ISBN 981-02-2124-X.
  44. E. Knobloch, J. Hettel and G. Dangelmayr: Parity breaking bifurcation in inhomogeneous systems. Phys. Rev. Lett. 74(25), 4839-42 (1995).
  45. P. Ashwin, G. Dangelmayr, I. Stewart and M. Wegelin: Oscillator networks with the symmetry of the unit quaternion group. In: Dynamics, Bifurcation and Symmetry, New Trends and New Tools, P, Chossat (ed.), Kluwer 1994, 35--48.
  46. J.D. Rodriguez, C. Geiger and G. Dangelmayr: Codimension two analysis of spherical Benard convection. In: Dynamics, Bifurcation and Symmetry, New Trends and New Tools, P, Chossat (ed.), Kluwer 1994, 279--290.
  47. G. Dangelmayr, J.D. Rodriguez and W. Guettinger: Dynamics of waves in extended systems. Lectures in Applied Mathematics 29, 145-161 (1993).
  48. G. Dangelmayr, W. Guettinger and M. Wegelin: Hopf bifurcation with D_3 X D_3-symmetry. Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP) 44, 595-638 (1993).
  49. M. Kirby, F. Weisser and G. Dangelmayr: Speaking with images: a model problem in the representation of digital images. Pattern Recognition 26, 63-73 (1993).
  50. G. Dangelmayr and M. Kirby: On diffusively coupled oscillators. In: "Bifurcation and Symmetry", E. Allgower, K. Boehmer and M. Golubitsky (eds.), Birkhaeuser 1992, 85-97.
  51. G. Dangelmayr, E. Knobloch and M. Wegelin: Dynamics of travelling waves in finite containers. Europhysics Lett. 16, 723-729 (1991)
  52. G. Dangelmayr and E. Knobloch: Hopf bifurcation with broken circular symmetry. Nonlinearity 4, 399-427 (1991).
  53. M. Kirby, F. Weisser and G. Dangelmayr: A problem in facial animation: analysis and synthesis of lip motion. In "Proceedings of the 7th Scandinavian Conference on Image Analysis, Vol. I", P. Johansen and S. Olsen (eds.), Pattern Recognition Society of Denmark, ISBN 87-983795-1-8, Copenhagen 1991, 529-536.
  54. G. Dangelmayr, M. Wegelin and E. Knobloch: Travelling wave convection in finite containers. Eur. J. Mech. B/Fluids 10, no 2-Suppl., 125-130 (1991).
  55. G. Dangelmayr and M. Wegelin: On a codimension-four bifurcation occuring in optical bistability. In "Singularity Theory and its Application, Part II", M. Roberts and I. Stewart (eds.), Springer Lecture Notes in Mathematics 1463, Springer 1991, 107-121.
  56. G. Dangelmayr and C. Geiger: Bifurcations in slowly rotating systems with spherical geometry. In "Bifurcation and Chaos: Analysis, Algorithms, Applications", R. Seydel, F. W. Schneider, T. Kuepper and H. Troger (eds.), Birkhaeuser 1991, 93-97.
  57. T. Gencic and G. Dangelmayr: Synchronized states in systems of neural oszillators. In "Proceedings of the 1st International Workshop on Microelectronics for Neural Networks", K. Goser, U. Ramacher and U. Rueckert (eds.), University of Dortmund, ISBN 3-89227-021-X, Dortmund 1990, 171-176.
  58. T. Gencic, M. Lappe, G Dangelmayr and W Guettinger: Storing cycles in analog neural networks. In "Parallel Processing in Neural Systems and Computers", R. Eckmiller, G. Hartmann and G. Hauske (eds.), North Holland 1990, 445-450.
  59. G. Dangelmayr and E. Knobloch: Dynamics of slowly travelling wave trains in finite geometry. In "Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems", F. H. Busse and L. Kramer (eds.), Plenum Press 1990, 399-410.
  60. G. Dangelmayr and M. Wegelin: Determining an organizing center for passive optical systems. In "Continuation and Bifurcations: Numerical Techniques and Applications", D. Roose, B. De Dier and A. Spence (eds.), Kluwer 1990, 335-347.
  61. G. Dangelmayr and E. Knobloch: Hopf bifurcation in reaction diffusion equation with broken translation symmetry. In "Bifurcation Theory and its Numerical Analysis", Li Kaitai, J. Marsden, M. Golubitsky and G. Iooss (eds.), Xian Jiaoting University Press, 1989, 162-170.
  62. D. Armbruster and G. Dangelmayr: Circuit induced oscillations of SNDC semiconductors. Phys. Lett. A 138, 46-50 (1989).
  63. G. Dangelmayr and M. Neveling: Codimension-two bifurcations and interactions between differently polarised fields for the laser with saturable absorber. J. Phys. A 22, 1291-1301 (1989).
  64. W. Guettinger and G. Dangelmayr: Variational principles in pattern theory. In "Neural and Synergetic Computers", H Haken (ed.), Springer 1988, 29-41.
  65. M. Neveling and G. Dangelmayr: Bifurcation analysis of interacting stationary modes in thermohaline convection. Phys. Rev. A 38, 2536-2543 (1988).
  66. M. Neveling, D. Lang, P. Haug, W Guettinger and G Dangelmayr: Interactions of stationary modes in systems with two and three spatial degrees of freedom. In "The Physics of Structure Formation", W Guettinger and G Dangelmayr (eds.), Springer 1987, 153-165.
  67. G. Dangelmayr and E. Knobloch: On the Hopf-bifurcation with broken O(2)-symmetry. In "The Physics of Structure Formation", W Guettinger and G Dangelmayr (eds.), Springer 1987, 387-393.
  68. G. Dangelmayr: Wave patterns in coupled stationary bifurcations with O(2)-symmetry. In "Bifurcations: Analysis, Algorithms, Applications", T Kuepper, R Seydel and H Troger (eds.), Birkhaeuser 1987, 27-37.
  69. G. Dangelmayr and J. Guckenheimer: On a four parameter family of planar vector fields. Arch. Rat. Mech. Anal. 97, 321-352 (1987).
  70. G. Dangelmayr and E.Knobloch: The Takens-Bogdanov bifurcation with O(2)-symmetry. Phil. Trans. Roy. Soc. A 322, 243-279 (1987).
  71. D. Armbruster and G. Dangelmayr: Coupled stationary bifurcations in non-flux boundary value problems. Math. Proc. Cambr. Phil. Soc. 101, 167-192 (1987).
  72. G. Dangelmayr: Degenerate bifurcations near a double eigenvalue in the Brusselator. J. Austral. Math. Soc. 101, 167-192 (1987).
  73. D. Armbruster and G. Dangelmayr: Corank two bifurcations for the Brusselator with non-flux boundary conditions. Dynamics and Stability of Systems 1 (3), 187-200 (1986).
  74. G. Dangelmayr: Steady-state mode interactions in the presence of O(2)-symmetry. Dynamics and Stability of Systems 1 (2), 159-185 (1986).
  75. G. Dangelmayr and E. Knobloch: Interaction between standing and travelling waves and steady states in magnetoconvection. Phys. Lett. A 117, 394-398 (1986).
  76. G. Dangelmayr and F. J. Wright: Geometric inversion for a scattering curve. Inverse Problems 2, 293-305 (1986).
  77. G. Dangelmayr, M. Neveling and D. Armbruster: Structurally stable phase portraits for the five-dimensional Lorenz equations. Z. Phys. B 64, 491-501 (1986).
  78. G. Dangelmayr and D. Armbruster: Steady state mode interactions in the presence of O(2)-symmetry and in non-flux boundary value problems. Contemporary Mathematics 56, 53-67 (1986).
  79. G. Dangelmayr and F. J. Wright: Singularities in quasi-geometrical imaging. In "Inversed Methods in Electromagnetic Imaging, Part I", W Boerner et al. (eds.), Reidel 1985, 461-472.
  80. G. Dangelmayr, D. Armbruster and M. Neveling: A codimension-three bifurcation for the laser with saturable absorber. Z. Phys. B 59, 365-370 (1985).
  81. G. Dangelmayr and F. J. Wright: Caustics and diffractions from a line source. Optica Acta 32, 441-462 (1985).
  82. F. J. Wright and G. Dangelmayr: Explicit iterative algorithms to reduce a univariate catastrophe to normal form. Computing 35, 73-83 (1985).
  83. F. J. Wright and G. Dangelmayr: On the exact reduction of a univariate catastrophe to normal form. J. Phys. A 18, 749-764 (1985).
  84. D. Armbruster and G. Dangelmayr: Structurally stable transitions to optical tristability. Il Nuovo Cimento 85 B, 125-141 (1985).
  85. G.Dangelmayr and I. Stewart: Sequential bifurcations in continuous stirred tank chemical reactors coupled in series. SIAM J. Appl. Math. 45, 895-918 (1985).
  86. D. Armbruster, G. Dangelmayr and W. Guettinger: Imperfection sensitivity of interacting Hopf and steady state bifurcations and their classification. Physica 16 D, 99-123 (1985).
  87. D. Armbruster and G. Dangelmayr: Structurally stable bifurcations in optical bistability. In "Proc. NATO ASI on Non-Equilibrium Cooperative Phenomena in Physics and Related Fields", M Velarde (ed.), Plenum 1984, 137-143.
  88. D. Armbruster, G. Dangelmayr and W. Guettinger: Nonlinear phonon focusing. In "Phonon Scattering in Condensed Matter", W Eisenmenger et al. (eds.), Plenum 1984, 75-77.
  89. G. Dangelmayr: Asymptotic inverse scattering. Wave Motion 6, 337-357 (1984).
  90. F. J. Wright and G. Dangelmayr: Partial Stability of catastrophe sections and its application to the cuspoids and conic umbilics. J. Phys A 17, 1975-1991 (1984).
  91. G. Dangelmayr and I. Stewart: Classification and unfolding of sequential bifurcations. SIAM J. Math. Anal. 15, 423-445 (1984).
  92. G. Dangelmayr and F. J. Wright: On the validity of the paraxial eikonal in catastrophe optics. J. Phys. A 17, 99-108 (1984).
  93. D. Armbruster and G. Dangelmayr: Singularities in phonon focusing. Z. Kristallographie 162, 236-237 (1983).
  94. D. Armbruster and G. Dangelmayr: Topological singularities and phonon focusing. Z. Phys. B 52, 87-94 (1983).
  95. G.Dangelmayr and D. Armbruster: Classification of Z(2)-equivariant bifurcations with corank 2. Proc. Lond. Math. Soc. 46, 517-546 (1983).
  96. G. Dangelmayr: Singularities of dispersion relations. Proc. Roy. Soc. Edinb. 95 A, 301-316 (1983).
  97. W. Guettinger and G. Dangelmayr: Topological principles of seismic inversion. In "SEG 52nd Ann. Intl. Meeting and Exposition. Abstracts and Biographies", 210-212 (1982).
  98. G. Dangelmayr: Analytic singularities in dispersive wave phenomena based on topological singularities of dispersion relations. J. Phys. A 15, L337-L342 (1982).
  99. F. J. Wright, G. Dangelmayr and D. Lang : Singular coordinate sections of the conic umbilic catastrophes. J. Phys. A 15, 3057-3071 (1982).
  100. G. Dangelmayr and W. Guettinger: Topological approach to remote sensing. Geophys. J. Roy. Astr. Soc. 71, 79-126 (1982).
  101. K. Keller, G. Dangelmayr and H. Eikemeier: Phase diagrams and catastrophes. In "Structural Stability in Physics", W. Guettinger and H. Eikemeier (eds.), Springer 1979, 186-198.
  102. G. Dangelmayr, W. Guettinger and W. Veit: Semiclassical path integrals in terms of catastrophes. In "Structural Stability in Physics", W. Guettinger and H. Eikemeier (eds.), Springer 1979, 104-121.
  103. G. Dangelmayr: Catastrophes and bifurcations in variational problems. In "Structural Stability in Physics", W. Guettinger and H. Eikemeier (eds.), Springer 1979, 84-103.
  104. G. Dangelmayr and W. Veit: Semiclassical approximation of path integrals on and near caustics in terms of catastrophes. Annals of Physics 118, 108-137 (1979).