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JOURNALS // Regular and Chaotic Dynamics

Regul. Chaotic Dyn., 2020, Volume 25, Issue 6, Pages 553–580 (Mi rcd1084)

The Tippedisk: a Tippetop Without Rotational Symmetry
Simon Sailer, Simon R. Eugster, Remco I. Leine

This publication is cited in the following articles:
  1. Jonas Breuling, Giuseppe Capobianco, Simon R. Eugster, Remco I. Leine, “A nonsmooth RATTLE algorithm for mechanical systems with frictional unilateral constraints”, Nonlinear Analysis: Hybrid Systems, 52 (2024), 101469  crossref
  2. Simon Sailer, Remco I. Leine, NODYCON Conference Proceedings Series, Advances in Nonlinear Dynamics, Volume I, 2024, 605  crossref
  3. Alexei A. Deriglazov, “An asymmetrical body: Example of analytical solution for the rotation matrix in elementary functions and Dzhanibekov effect”, Communications in Nonlinear Science and Numerical Simulation, 138 (2024), 108257  crossref
  4. Alexander A. Kilin, Elena N. Pivovarova, “Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint”, Regul. Chaotic Dyn., 28:1 (2023), 78–106  mathnet  crossref  mathscinet
  5. Jonas Harsch, Simon R. Eugster, “Nonunit quaternion parametrization of a Petrov–Galerkin Cosserat rod finite element”, Proc Appl Math and Mech, 23:4 (2023)  crossref
  6. Simon Sailer, Remco I. Leine, “Heteroclinic bifurcation analysis of the tippedisk through the use of Melnikov theory”, Proc. R. Soc. A., 479:2275 (2023)  crossref
  7. Alessandro Ciallella, Daria Scerrato, Mario Spagnuolo, Ivan Giorgio, “A continuum model based on Rayleigh dissipation functions to describe a Coulomb-type constitutive law for internal friction in woven fabrics”, Z. Angew. Math. Phys., 73:5 (2022)  crossref
  8. Simon R. Eugster, Advanced Structured Materials, 152, Evaluation of Scientific Sources in Mechanics, 2022, 99  crossref
  9. S. Sailer, R. I. Leine, “Singularly perturbed dynamics of the tippedisk”, Proc. R. Soc. A-Math. Phys. Eng. Sci., 477:2256 (2021), 20210536  crossref  mathscinet  isi
  10. G. Capobianco, J. Harsch, S. R. Eugster, R. I. Leine, “A nonsmooth generalized-alpha method for mechanical systems with frictional contact”, Int. J. Numer. Methods Eng., 122:22 (2021), 6497–6526  crossref  mathscinet  isi  scopus
  11. S. Sailer, R. I. Leine, “Model reduction of the tippedisk: a path to the full analysis”, Nonlinear Dyn., 105:3 (2021), 1955–1975  crossref  isi  scopus


© Steklov Math. Inst. of RAS, 2026