On the quintic scroll having three double conics
نویسندگان
چکیده
منابع مشابه
The double scroll family
Absrrucf-This paper provides a rigorous mathematical proof that the double scroll is indeed chaotic. Our approach is to derive a linearly equitdent class of piecewise-linear differential equations which includes the double scroll as a special case. A necessary and sufficient condition for two such piecewise-linear vector fields to be linearly equivalent is that their respective eigenvalues be a...
متن کاملThree Generations on the Quintic Quotient
A three-generation SU(5) GUT (three 10 and a single 5–5 pair) is constructed by compactification of the E8 heterotic string. The base manifold is the Z5 × Z5-quotient of the quintic, and the vector bundle is the quotient of a positive monad. The group action on the monad and its bundle-valued cohomology is discussed in detail, including topological restrictions on the existence of equivariant s...
متن کاملThe Discrete hyperchaotic Double scroll
In th is pa per w e pre se n t a n d a n a ly z e a n e w pie c e w ise lin e a r m a p o f th e pla n e c a pa b le o f g e n e ra tin g ch a o tic a ttra c to rs w ith o n e a n d tw o sc ro lls. D u e to th e sh a pe o f th e a ttra c to r a n d its h y perch a o tic ity , w e c a ll it “ the discrete hyperchaotic double scroll.” It h a s th e sa m e n o n lin e a rity a s u se d in th e w e...
متن کاملModeling Double Scroll Time Series
The ubiquity of strange attractors in nature suggests that nonlinear modeling techniques can improve performance in some signal processing applications. We introduce Mixed State Markov Models (MSMMs), a refinement of Hidden Filter HMMs, and apply both to a synthetic Double Scroll time series. Forecasts by HFHMMs diverge after a few steps. Using ad hoc procedures, forecasts by MSMMs, even models...
متن کاملThe Quintic Nonlinear Schrödinger Equation on Three-dimensional Zoll Manifolds
Let (M, g) be a three-dimensional smooth compact Riemannian manifold such that all geodesics are simple and closed with a common minimal period, such as the 3-sphere S with canonical metric. In this work the global well-posedness problem for the quintic nonlinear Schrödinger equation i∂tu+∆u = ±|u|u, u|t=0 = u0 is solved for small initial data u0 in the energy space H(M), which is the scaling-c...
متن کاملذخیره 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: Bulletin of the American Mathematical Society
سال: 1903
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1903-00981-1