Results 191 to 200 of about 2,235 (216)
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Forced reflectional symmetry breaking of an O(2)-symmetric homoclinic cycle
Nonlinearity, 1993A system of ordinary differential equations has \(O(2)\) symmetry if any solution of the system is transformed into another solution by an element of the orthogonal group \(O(2)\). It is known that differential systems with \(O(2)\) symmetry can possess heteroclinic cycles between two equilibria which belong to the same group orbit.
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Forced and spontaneous symmetry breaking in cell polarization
Nature Computational Science, 2022How does breaking the symmetry of an equation alter the symmetry of its solutions? Here, we systematically examine how reducing underlying symmetries from spherical to axisymmetric influences the dynamics of an archetypal model of cell polarization, a key process of biological spatial self-organization.
Pearson W. Miller +4 more
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Abstract forced symmetry breaking
1996We consider abstract forced symmetry breaking problems of the type F(x,λ) = y, x ≈ O(x0), λ ≈ λ0, y ≈ O. It is supposed that for all λ the maps F(·,λ) are equivariant with respect to representations of a given compact Lie group, that F(x0, λ0) = 0 and, hence, that F(x,λ0) = 0 for all elements x of the group orbit O(x0) of x0.
Peterhof, Daniela, Recke, Lutz
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Forced Symmetry Breaking as a Mechanism for Bursting
Physical Review Letters, 1998A robust mechanism generating regular or irregular bursts of large dynamic range near threshold is described. The mechanism arises in the interaction between oscillatory modes of odd and even parity in systems of large but finite aspect ratio, and provides an explanation for the bursting behavior observed in binary fluid convection by Sullivan and ...
J. Moehlis, E. Knobloch
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Lateral Optical Force due to the Breaking of Electric-Magnetic Symmetry
Physical Review Letters, 2020Lateral optical forces in a direction perpendicular to light propagation have attracted increasing interest in recent years. Up to now, all lateral forces can be attributed to the symmetry breaking in the lateral directions caused by either the morphology of the scatterer geometry or the optical fields impinging on the scatterer.
Huajin Chen +5 more
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Forced Symmetry Breaking from O(3)
1992Here we consider the flow near a manifold of equilibria of a specific orbit type of an O(3)-equivariant ordinary differential equation if we break the symmetry of the underlying system. This continues joint work with Mark Roberts [5] on cases of breaking SO(3)-equivariance. Applications to PDE’s are given in [6].
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Actin-Myosin Force Generation and Symmetry Breaking in the Model Contractile Fiber
SIAM Journal on Applied Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ben Fogelson, Alex Mogilner
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Breaking of Dilatational Symmetry of Dipole Interactions by Octupole Forces
AIP Conference Proceedings, 1973We have constructed a 7 × 7 square Ewing lattice which can be symmetrically dilated. The breaking of the dilatational invariance of dipole interactions by octupole admixtures can be explicitly demonstrated. The discontinuous structural transitions associated with this symmetry breaking permit us to assign a sharply defined rnge to the octupole forces ...
M. Duda +6 more
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Dynamics and geometry in forced symmetry breaking: a tetrahedral example
Mathematical Proceedings of the Cambridge Philosophical Society, 2004The authors deal with the dynamics that can arise close to rotational group orbits after forced symmetry-breaking to discrete symmetries. The authors particularly are interested in the case when the forced symmetry breaking term is given by a typical linear \(K\)-equivariant vector field on the space \(\mathbb{R}^n\) (for a \(G\)-equivariant dynamical ...
Chillingworth, David, Lauterbach, Reiner
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Coulomb energy of3He and charge-symmetry breaking in nuclear forces
Pramana, 1979We report a calculation of Coulomb energy of3He with two-term separable potentials of a form proposed recently, and a perturbative calculation of the charge-symmetry-breaking potential, again in a two-term separable form. By using potential sets adjusted to various values of proton-neutron effective range difference, some limit is sought to be placed ...
S S Mehdi, V K Gupta
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