TY - JOUR
AU - Dellnitz, Michael
ID - 17014
JF - Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg
TI - Collisions of chaotic attractors
ER -
TY - JOUR
AB - AbstractWe obtain normal forms for infinitesimally symplectic matrices (or linear Hamiltonian vector fields) that commute with the symplectic action of a compact Lie group of symmetries. In doing so we extend Williamson's theorem on normal forms when there is no symmetry present.Using standard representation-theoretic results the symmetry can be factored out and we reduce to finding normal forms over a real division ring. There are three real division rings consisting of the real, complex and quaternionic numbers. Of these, only the real case is covered in Williamson's original work.
AU - Melbourne, Ian
AU - Dellnitz, Michael
ID - 16633
JF - Mathematical Proceedings of the Cambridge Philosophical Society
SN - 0305-0041
TI - Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group
ER -
TY - JOUR
AU - Barany, Ernest
AU - Dellnitz, Michael
AU - Golubitsky, Martin
ID - 16518
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
TI - Detecting the symmetry of attractors
ER -
TY - JOUR
AU - Melbourne, Ian
AU - Dellnitz, Michael
AU - Golubitsky, Martin
ID - 16634
JF - Archive for Rational Mechanics and Analysis
SN - 0003-9527
TI - The structure of symmetric attractors
ER -
TY - JOUR
AU - Dellnitz, Michael
ID - 17013
JF - Lectures in Applied Mathematics
TI - The equivariant Darboux theorem
VL - 29
ER -
TY - JOUR
AU - Dellnitz, M
AU - Melbourne, I
AU - Marsden, J E
ID - 16548
JF - Nonlinearity
SN - 0951-7715
TI - Generic bifurcation of Hamiltonian vector fields with symmetry
ER -
TY - JOUR
AU - Dellnitz, Michael
ID - 17012
IS - 3
JF - IMA Journal of Numerical Analysis
TI - Computational bifurcation of periodic solutions in systems with symmetry
VL - 12
ER -
TY - CHAP
AU - Dellnitz, Michael
AU - Golubitsky, Martin
AU - Melbourne, Ian
ID - 16546
SN - 9783034875387
T2 - Bifurcation and Symmetry
TI - Mechanisms of Symmetry Creation
ER -
TY - CHAP
AU - Dellnitz, Michael
AU - Marsden, Jerrold E.
AU - Melbourne, Ian
AU - Scheurle, Jürgen
ID - 16547
SN - 9783034875387
T2 - Bifurcation and Symmetry
TI - Generic Bifurcations of Pendula
ER -
TY - JOUR
AU - Dellnitz, Michael
AU - Werner, Bodo
ID - 16682
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
TI - Computational methods for bifurcation problems with symmetries—with special attention to steady state and Hopf bifurcation points
ER -