Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies

A numerical tool for the detection of degenerated symmetry breaking bifurcation points is presented. The degeneracies are classified and numerically processed on 1-D restrictions of the bifurcation equation. The test functions that characterise each of the equivalence classes are constructed by means of an equivariant numerical version of the Liapunov-Schmidt reduction. The classification suppl...

متن کامل

Symmetry-Breaking Bifurcation in Nonlinear Schrödinger/Gross-Pitaevskii Equations

We consider a class of nonlinear Schrödinger / Gross-Pitaveskii (NLS-GP) equations, i.e. NLS with a linear potential. We obtain conditions for a symmetry breaking bifurcation in a symmetric family of states asN , the squared L2 norm (particle number, optical power), is increased. In the special case where the linear potential is a doublewell with well separation L, we estimate Ncr(L), the symme...

متن کامل

Symmetry Breaking at Enhanced Symmetry Points

The influence of world-sheet boundary condensates on the toroidal compactification of bosonic string theories is considered. At the special points in the moduli space at which the closed-string theory possesses an enhanced unbroken G × G symmetry (where G is a semi-simple product of simply laced groups) a scalar boundary condensate param-eterizes the coset G × G/G. Fluctuations around this back...

متن کامل

Symmetry Breaking in Equivariant Bifurcation Problems

In both equivariant bifurcation theory [GSS, especially Chapter XIII] and physical theories of spontaneous symmetry breaking (for example, the Higgs-Landau theory [M]), there is the problem of determining the symmetries, stabilities and branching patterns for solutions of equations equivariant under a compact Lie group G. Very few general results and techniques are known for the analysis of thi...

متن کامل

Cosmic Symmetry-breaking, Bifurcation, Fractality and Biogenesis

This paper explores the non-linear quantum foundations of biogenesis in interactive bifurcations between the properties of the elements, sourced in the transitions induced by cosmic symmetry-breaking [King 1978]. The key interactions forming the biogenic pathway are modeled in terms of interactive quantum bifurcations explaining why the bioelements play the interactive role they do and why cent...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 1999

ISSN: 0025-5718

DOI: 10.1090/s0025-5718-99-01052-2