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pro vyhledávání: '"Reiner Lauterbach"'
Menschen treffen täglich eine Vielzahl von Entscheidungen, entweder für sich selbst oder für andere. Auf welcher Basis entscheiden wir eigentlich? Was sind die Grundlagen für Entscheidungen, wenn die Datenlage unsicher ist, weil eine völlig neue
We use geometric methods of equivariant dynamical systems to address a long-standing open problem in the theory of nematic liquid crystals, namely a proof of the existence and asymptotic stability of kayaking periodic orbits for which the principal a
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5eaa3bda71c5ded0ace849c4a2142487
Autor:
Sören Schwenker, Reiner Lauterbach
Publikováno v:
Dynamical Systems. 32:117-147
In this paper we continue the study of group representations which are counterexamples to the Ize conjecture. As in previous papers we find new infinite series of finite groups leading to such counterexamples. These new series are quite different fro
Autor:
Reiner Lauterbach
Publikováno v:
Journal of Dynamics and Differential Equations. 27:841-861
We refer to the hypotheses that for an absolutely irreducible representation of a compact Lie group there exists at least one subgroup with an odd dimensional fixed point space as the Ize conjecture (IC). If the IC is true, then it follows that loss
Autor:
Gerhard Opfer, Reiner Lauterbach
Publikováno v:
Advances in Applied Clifford Algebras. 24:1059-1073
We develop a general tool for constructing the exact Jacobi matrix for functions defined in noncommutative algebraic systems without using any partial derivative. The construction is applied to solving nonlinear problems of the form f(x) = 0 with the
Autor:
Reiner Lauterbach
Publikováno v:
Erkenntnis, Wissenschaft und Gesellschaft ISBN: 9783662499115
Der Begriff „Chaos“ wurde von den Physikern Li und Yorke im Jahr 1975 eingefuhrt [1]. Er bezieht sich auf ein Phanomen innerhalb der mathematischen Theorie der dynamischen Systeme, einer Teildisziplin der Mathematik, die in den letzten Jahren bre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7806b4a3db992323d65078ada64ba765
https://doi.org/10.1007/978-3-662-49912-2_13
https://doi.org/10.1007/978-3-662-49912-2_13
Publikováno v:
BIRD: BCAM's Institutional Repository Data
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We investigate the invariants of the $25$-dimensional real representation of the group ${\bf SO}(3)\wr{\bf Z}_2$ given by the left and right actions of ${\bf SO}(3)$ on $5\times 5$ matrices together with matrix transposition; the action on column vec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3bad73a822fe8c2f76932ea931930d2a
https://doi.org/10.1088/1751-8113/48/1/015203
https://doi.org/10.1088/1751-8113/48/1/015203
Autor:
Martin Golubitsky, Reiner Lauterbach
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 8:40-75
A regular network is a network with one kind of node and one kind of coupling. We show that a codimension one bifurcation from a synchronous equilibrium in a regular network is at linear level isomorphic to a generalized eigenspace of the adjacency m
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 137:411-432
We are interested in the dynamics that can arise close to rotational group orbits after forced symmetry-breaking to discrete symmetries. In particular we ask how simple or complicated the dynamics induced by symmetric {\em linear} vector fields can b