/ IN PROCESS
Crespo, F. ,Ferrer, S., Van der Meer, J.C.: (SO(3)xT4
) -Reduction and relative equilibria for a radial axi-symmetric
intermediary model for roto-orbital motion
Rana reports 1993-2004 and CASA reports 2004-...
/ PUBLICATIONS
see also TU/e repository https://research.tue.nl/en/persons/jc-jan-cees-van-der-meer/publications/
J.C.
van der Meer: On the geometry of Hamiltonian systems, Lecture Notes Seminar
GISDA, Universidad del Bio-Bio, 2017, CASA-report 09-17.
J.C.
van der Meer, F. Crespo, S. Ferrer:
Generalized Hopf fibration and geometric
SO(3) reduction of the 4DOF harmonic oscillator, Reports on Mathematical
physics,77, 2016, pp 239-249. https://doi.org/10.1016/S0034-4877(16)30021-0
Meer, J.C. van der:
The Kepler system as a reduced harmonic oscillator, Journal of Geometry and
Physics, 92, 2015, pp 181-193. http://dx.doi.org/10.1016/j.geomphys.2015.02.016
Molero, F.J., Meer, J.C. van der, Ferrer, S.,Cespedes, F.J.: The 2-D Sextic
Hamiltonian Oscillator. Int J. Bifurcation and
Chaos., 23, 2013, pp 133009:1-27, http://dx.doi.org/10.1142/S021812741330019X
Egea, J., Ferrer, S., and Meer, J.C. van der: Bifurcations of
relative equilibria in a Hamiltonian fourfold 1:1 resonance with toroidal
symmetry. J. Nonlin. Sci., 21, 2011, pp 835-874. https://doi.org/10.1007/s00332-011-9102-5
Diaz, G., Egea, J., Ferrer,S., Meer, J.C. van der, Vera, J.A.: Relative equilibria and bifurcations in the generalized Van der Waals 4-D oscillator. Physica D, 239, 2010, pp 1610-1625. https://doi.org/10.1016/j.physd.2010.04.012
Antheunis, H., Meer, J.C. van der, Geus,
M. de, Heise A, Koning, C.E. : Autocatalytic Equation
Describing the Change in Molecular Weight during Hydrolytic Degradation of
Aliphatic Polyesters. Biomacromolecules, 11 (4), 2010, pp 1118-1124. https://doi.org/10.1021/bm100125b
Díaz, G., Egea,
J., Ferrer,S., Meer, J.C. van der, Vera, J.A.: Generalized Van der Waals 4-D oscillator. Invariant tori and relative equilibria in the Ξ=L=0
manifold. Actas de XI Jornadas
Mecánica Celeste, Monografías
de la Real Academia Ciencias de Zaragoza 32, 2009, pp
19-37.(http://www.unizar.es/acz/)
Meer, J.C. van der: One-parameter versal
deformations of symmetric Hamiltonian systems in 1:1 resonance. International
Journal of Pure and Applied Mathematics 53 (4), 2009, pp 547-561. https://ijpam.eu/contents/2009-53-4/10/10.pdf
Antheunis, H., Meer, J.C. van der, Geus,
M. de, Kingma, W., Koning, C.E.: Improved
Mathematical Model for the Hydrolytic Degradation of Aliphatic Polyesters.
Macromolecules 42 (7), 2009, pp 2462-2471. https://doi.org/10.1021/ma802222m
Egea, J., Ferrer,S., and Meer, J.C. van der: Hamiltonian fourfold 1:1
resonance with two rotational symmetries. Regular and Chaotic Dynamics 12,
2007, pp 534-544. https://doi.org/10.1134/S1560354707060081
Meer, J.C. van der: A note on local Morse theory in
scale space and Gaussian deformations. (revised version, © Springer-Verlag).
In: Deep Structure, Singularities and Computer Vision, eds.Fogh
Olsen, O. and Florack, L.M.J. and Kuijper, A.,
Lecture Notes in Computer Science 3753,
Springer--Verlag, 2005.
Hanßmann, H. and Meer, J.C. van der: Algebraic methods for
determining Hamiltonian Hopf bifurcations in
Three-degree-of freedom systems. Journal of Dynamics and Differential
Equations 17, 2005, pp 455-474. https://doi.org/10.1007/s10884-005-4575-2
Hanßmann, H. and Meer, J.C. van der: On non-degenerate
Hamiltonian Hopf bifurcations in 3DOF systems. In:
EQUADIFF 2003, Proceedings of the International Conference on Differential
Equations, Hasselt, Belgium 22 - 26 July 2003, eds:
F. Dumortier , H. Broer ,
J. Mawhin , A. Vanderbauwhede,
S. Verduyn Lunel. World
Scientific, Singapore, 2005, pp 476-481. https://doi.org/10.1142/9789812702067_0077
Hanßmann, H. and Meer,
J.C. van der: On the Hamiltonian Hopf bifurcations in
the 3-D Hénon-Heiles family, Journal of Dynamics and
Differential Equations 14, 2002, pp 675-695. https://doi.org/10.1023/A:1016343317119
Meer, J.C. van der: Birkhoff
normal form. In: Encyclopaedia of mathematics,
Supplement Volume I, Kluwer Academic Publishers, Dordrecht, 1997, pp 126-127.
Meer, J.C. van der: Degenerate Hamiltonian Hopf bifurcations. in: Conservative Systems and Quantum
Chaos, eds. L.M. Bates and D.L.Rod, Fields Institute
Communications, vol. 8, AMS, Providemce, R.I.,1996,
pp 159-176.
Vanderbauwhede, A.; Meer, J.C. van der: A general reduction method
for periodic solutions near equilibria in Hamiltonian systems. in: Normal Forms
and Homoclinic Chaos, eds. W.F. Langford and W.
Nagata, Fields Institute Communications, vol. 4, AMS, Providence, R.I.,1995, pp
273-294.
Meer, J.C. van der; Sanders, J.A.; Vanderbauwhede,
A.: Hamiltonian structure of the reversible 1:1 nonsemi-simple
resonance. in: Dynamics, Bifurcation and Symmetry- New Trends and New Tools,
ed. P. Chossat, NATO ASI Series C: Math. and Phys.
Sc., vol 437, Kluwer Acadamic
Publishers, Dordrecht, 1994, pp 221-240.
Sanders, J.A.; Meer, J.C. van der: Unique normal form
of the Hamiltonian 1:2 resonance. in: Geometry and analysis in nonlinear
dynamics, Proceedings of the Conference on Chaotic Dynamics and Bifurcations,
Groningen, March 1989, eds. H.W. Broer and F. Takens, Pitman Research Notes in Mathematics Series 222,
Longman Scientific & Technical, Harlow, 1992, pp 56-69.
Meer, J.C. van der: Hamiltonian Hopf
bifurcation with symmetry. Nonlinearity 3, 1990, pp 1041-1056. https://doi.org/10.1088/0951-7715/3/4/005
Cushman, R.; Meer, J.C. van der: The Hamiltonian Hopf bifurcation in the Lagrange top. in: Géometrie Symplectique et Mécanique, Colloque International
, La Grande Motte, 23-27 Mai, 1988, Lecture Notes in Mathematics 1416,
Springer-Verlag, Berlin, 1990.
Meer, J.C. van der; Cushman, R.: Orbiting dust under
radiation pressure. in: Proceedings of the XV international conference on
differential geometric methods in theoretical physics, ed. H.D. Doebner and J.D. Hennig, World
Scientific, Singapore, 1987, 403-414.
Meer, J.C. van der; Cushman, R.: Constrained
normalization of Hamiltonian systems and perturbed Keplerian
motion. Zeitschrift für Angewandte Mathematik und Physik 37, (1986), 402-424. https://doi.org/10.1007/BF00946760
Meer, J.C. van der: Bifurcation at nonsemisimple
1:-1 resonance. Zeitschrift für
Angewandte Mathematik und Physik 37, (1986), 425-437. https://doi.org/10.1007/BF00946761
|
|
Meer, J.C. van der: |
Meer, J.C. van der: The Hamiltonian Hopf bifurcation. thesis Rijksuniversiteit Utrecht, Jan. 1985.
Meer, J.C. van der: Nonsemisimple
1:1 resonance at an equilibrium. Celestial Mechanics 27, (1982), 131-149. https://doi.org/10.1007/BF01271688
/ UNPUBLISHED REPORTS
Meer, J.C. van der: Singularities of Poissonstructures and Hamiltonian bifurcations. CASA report
10-05. (PDF revised)
Meer, J.C. van der : Folding a cusp into a swallowtail.
CASA report 10-26.