Results 181 to 190 of about 2,235 (216)

Loss-compensated non-reciprocal scattering based on synchronization. [PDF]

Nat Commun
Pedergnana T, Faure-Beaulieu A, Fleury R, Noiray N.   +3 more
europepmc   +1 more source

Bacteriocin biophysics: From protein-protein interaction models to navigators of the bacterial cell envelope. [PDF]

J Biol Chem
Kleanthous C.
europepmc   +1 more source

A network of transient domains for breaking symmetry during anterior-posterior axis formation in the porcine embryo. [PDF]

Dev Dyn
Plöger R, Tsikolia N, Viebahn C.
europepmc   +1 more source

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Forced Symmetry-Breaking Bifurcations in Networks with Disordered Parameters

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2023
Emergent behavior in complex networks can be predicted and analyzed via the mechanism of spontaneous symmetry-breaking bifurcation, in which solutions of related bifurcation problems lose symmetry as some parameters are varied, even though the equations that such solutions satisfy retain the full symmetry of the system. A less common mechanism is that
Francesco Sorrentino, Antonio Palacios, Amirhossein Nazerian   +2 more
exaly   +3 more sources

Forced Symmetry-Breaking of Square Lattice Planforms

Journal of Dynamics and Differential Equations, 2006
The authors present a partial classification of the forced symmetry-breaking of square planforms both for the four- and eight-dimensional representations. The influence of small perturbations equivariant with respect to a certain subgroup of the \(D_4\dot{+}T^2\) group of square lattices is studied. It is shown the persistence of certain equilibria and
Parker, M. J., Gomes, M. G. M., Stewart, I. N.   +2 more
exaly   +2 more sources

Forced symmetry breaking of homoclinic cycles

Nonlinearity, 1995
In the paper two equivariant equations (model equations for the Rayleigh-Bénard convection and a model for turbulent layers in wall regions with riblets) admitting structurally stable heteroclinic cycles are studied from the point of view of symmetry breaking. Sufficient conditions are formulated for the existence of various type of bifurcations from a
Björn Sandstede
exaly   +3 more sources

Forced symmetry-breaking in networks with dihedral symmetry

Chaos
Adaptation in complex systems implies a natural ability to change. In networks, adaptation may include a change in structural connectivity, which can lead to a change in collective behavior. When dihedral symmetry is present, i.e., rotations and reflections of a regular polygon, it is well-known that traveling and standing waves occur, generically, via
Samir Sahoo, Antonio Palacios, Aradhana Singh   +2 more
exaly   +3 more sources

Forced symmetry breaking perturbations for periodic solutions

Nonlinearity, 1997
Using the formalism defined by R. Lauterbach and M. Roberts [21], we develop a geometric approach for the problem of forced symmetry breaking for periodic orbits in G-equivariant systems of ODE's. We show that this problem can be studied as the perturbation of the identity mapping on the double coset space LG/K where K is the maximal subgroup of G ...
Guyard, Frédéric, Lauterbach, Reiner
exaly   +4 more sources

Forced Symmetry Breaking: Theory and Applications

The IMA Volumes in Mathematics and Its Applications, 1999
In this paper we want to present some ideas concerning the behavior of equivariant systems under small perturbations of their symmetry. We will touch these questions, discuss some applications and provide references to the literature. These references include details of the mathematical issues as well as further potential applications.
Reiner Lauterbach, Lauterbach Reiner
exaly   +2 more sources

Forced Symmetry Breaking and Relative Periodic Orbits

2001
We would like to discuss some aspects of forced symmetry breaking in equivariant systems. This topic is of significance for applications since in real life systems symmetries occur only as approximations. This is in particular relevant for the applications of genericity theories.
Reiner Lauterbach, Lauterbach Reiner
exaly   +2 more sources