Publications of 1989 to 1996

1996

Dellnitz, Michael; Hohmann, Andreas:
The computation of unstable manifolds using subdivision and continuation.
Broer, H. W.; Gils, S. A. van; Hoveijn, I.; Takens, F. (eds.): Nonlinear Dynamical Systems and Chaos,
PNLDE 19, Birkhäuser, pp. 449-459, 1996.

Golubitsky, Martin; Marsden, Jerrold E.; Stewart, Ian; Dellnitz, Michael:
The constrained Liapunov-Schmidt procedure and periodic orbits.
Fields Institute Communications 4, pp. 81-127, 1995.
Aston, Philip; Dellnitz, Michael:
Symmetry breaking bifurcations of chaotic attractors.
International Journal of Bifurcation and Chaos 5, pp. 1643-1676, 1995.
Dellnitz, Michael; Melbourne, Ian:
A note on the shadowing lemma and symmetric periodic points.
Nonlinearity 8, pp. 1067-1075, 1995.
Dellnitz, Michael; Field, Michael; Golubitsky, Martin; Hohmann, Andreas; Ma, Jun:
Cycling chaos.
IEEE Transactions on Circuits and Systems 42, pp. 821-823, 1995.
Dellnitz, Michael; Heinrich, Cordula:
Admissible symmetry increasing bifurcations.
Nonlinearity 8, pp. 1039-1066, 1995.
Dellnitz, Michael; Golubitsky, Martin; Hohmann, Andreas; Stewart, Ian:
Spirals in scalar reaction-diffusion equations.
International Journal of Bifurcation and Chaos 5, 1487-1501, 1995.

Dellnitz, Michael; Scheurle, Jürgen:
Eigenvalue movement for a class of reversible Hamiltonian systems with three degrees of freedom.
Chossat, P. (ed.): Dynamics, Bifurcation and Symmetry
NATO ASI Series C 437, pp. 105-110, 1994.
Dellnitz, Michael:
Collisions of chaotic attractors.
Ansorge, R. (ed.): Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg, pp. 411-428, Reimer, 1994.
Dellnitz, Michael; Golubitsky, Martin; Nicol, Mathew:
Symmetry of attractors and the Karhunen-Loeve decomposition.
Sirovich, L. (ed.): Trends and Perspectives in Applied Mathematics
Applied Mathematical Sciences 100, pp. 73-108, Springer, 1994.
Dellnitz, Michael; Melbourne, Ian:
Generic movement of eigenvalues for equivariant selfadjoint matrices.
Journal of Computational and Applied Mathematics 55, 249-259, 1994.

Melbourne, Ian; Dellnitz, Michael:
Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group.
Math. Proc. Camb. Phil. Soc. 114, pp. 235-268, 1993.
Dellnitz, Michael; Melbourne, Ian:
The equivariant Darboux theorem.
Lectures in Applied Mathematics 29, pp. 163-169, 1993.
Barany, Ernest; Dellnitz, Michael; Golubitsky, Martin:
Detecting the symmetry of attractors.
Physica D 67, pp. 66-87, 1993.
Melbourne, Ian; Dellnitz, Michael; Golubitsky, Martin:
The structure of symmetric attractors.
Archive of Rational Mechanics and Analysis 123, pp. 75-98, 1993.

Dellnitz, Michael:
Computational Bifurcation of periodic solutions in systems with symmetry.
IMA Journal of Numerical Analysis 12, 429-455, 1992.
Dellnitz, Michael; Golubitsky, Martin; Melbourne, Ian:
Mechanisms of symmetry creation.
E. Allgower, K. Böhmer, M. Golubitsky (eds.): Bifurcation and Symmetry, ISNM 104, 99-109, Birkhäuser, 1992.
Dellnitz, Michael; Melbourne, Ian; Marsden, Jerrold E.:
Generic bifurcation of Hamiltonian vector fields with symmetry.
Nonlinearity 5, 979-996, 1992.
Dellnitz, Michael; Marsden, Jerrold E.; Melbourne, Ian; Scheurle, Jürgen:
Generic bifurcations of pendula
E. Allgower, K. Böhmer, M. Golubitsky (eds.): Bifurcation and Symmetry, ISNM 104, 111-122 , Birkhäuser, 1992.