Supplementary material to selected publications

• Geometry of complex instability and escape in four-dimensional symplectic maps
  J. Stöber and A. Bäcker
  arXiv:2009.00970 [nlin.CD], 19 pages
  
  




Videos with rotating view of 3D phase space slices (static) [embedded videos, reduced quality] [embedded videos, full quality]




• Moser's quadratic, symplectic map
  A. Bäcker and J. D. Meiss
  Regul. Chaotic Dyn. 23, 654-664 (2018). [arXiv:1808.07229 [nlin.CD]]
  Jürgen Moser 90th Anniversary. Special Memorial Issue.
  
  




Videos with rotating view of 3D phase space slices (static) [embedded videos, reduced quality] [embedded videos, full quality]




• Elliptic Bubbles in Moser's 4D Quadratic Map: the Quadfurcation
  A. Bäcker and J. D. Meiss
  SIAM J. Appl. Dyn. Syst. 19, 442-479 (2020) [arXiv:1807.06074 [nlin.CD]]
  Fig. 13 in black and white (#blackandwhitechallenge, School of Science TU Dresden)
  
  

  Videos with rotating view of 3D phase space slices (static) [embedded videos, reduced quality] [embedded videos, full quality]




• Three-dimensional billiards: visualization of regular structures and trapping of chaotic trajectories
  M. Firmbach, S. Lange, R. Ketzmerick, and A. Bäcker
  Phys. Rev. E 98, 022214 (2018), 18 pages. [arXiv:1805.06823 [nlin.CD]]
  
  

  Videos with rotating view of 3D phase space slices (static) [embedded videos, reduced quality] [embedded videos, full quality]




• What is the mechanism of power-law distributed Poincaré recurrences in higher-dimensional systems?
  S. Lange, A. Bäcker, and R. Ketzmerick
  Eur. Phys. Lett. 116, 30002 (2016), 6 pages. [arXiv:1609.07977 [nlin.CD]]
  
  

  Videos with rotating view of 3D phase space slices (static) [embedded videos, reduced quality] [embedded videos, full quality]




• Homoclinic Points of 2D and 4D Maps via the Parametrization Method
  S. Anastassiou, T. Bountis, and A. Bäcker
  Nonlinearity 30 (2017) 3799-3820. [arXiv:1605.05521 [nlin.DS]]
  
  

  Videos with rotating view of 3D phase space slices (static) [embedded videos, reduced quality] [embedded videos, full quality]




• Bifurcations of families of 1D-tori in 4D symplectic maps
  F. Onken, S. Lange, R. Ketzmerick, and A. Bäcker
  Chaos 26, 063124 (2016), 13 pages. [arXiv:1602.04658 [nlin.CD]]
  
  

  Videos with rotating view of 3D phase space slices (static) [embedded videos, reduced quality] [embedded videos, full quality]




• Global structure of regular tori in a generic 4D symplectic map
  S. Lange, M. Richter, F. Onken, A. Bäcker, and R. Ketzmerick
  Chaos 24, 024409 (2014), 11 pages. [arXiv:1311.7632 [nlin.CD]]
  
  

  Videos with rotating view of 3D phase space slices (static) [embedded videos, reduced quality] [embedded videos, full quality]




• Visualizing classical structures and quantum states of 4D maps by 3D phase-space slices
  M. Richter, S. Lange, A. Bäcker, and R. Ketzmerick
  Phys. Rev. E 89, 022902 (2014), 12 pages. [arXiv:1307.6109 [nlin.CD]]
  
  

  Videos with rotating view of 3D phase space slices (static) [embedded videos, reduced quality] [embedded videos, full quality]

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Last modified: 13 September 2020, 09:23:40 , © Arnd Bäcker

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