Coexistence of periods in a bisecting bifurcation

The inner structure of the attractor appearing when the Varley-Gradwell-Hassell population model bifurcates from regular to chaotic behaviour is studied. By algebraic and geometric arguments the coexistence of a continuum of neutrally stable limit cycles with different periods in the attractor is explained.Comment: 13 pages, 5 figure

A Novel Kind of Neutrino Oscillation Experiment

A novel method to look for neutrino oscillations is proposed based on the elastic scattering process $\bar{\nu}_{i} e^{-}\rightarrow \bar{\nu}_{i} e^{-}$, taking advantage of the dynamical zero present in the differential cross section for $\bar{\nu}_{e} e^{-}\rightarrow \bar{\nu}_{e} e^{-}$. An effective tunable experiment between the "appearance" and "disappearance" limits is made possible. Prospects to exclude the allowed region for atmospheric neutrino oscillations are given.Comment: 11 pages (+3 figures, available upon request),Standard Latex, FTUV/94-3

Families of piecewise linear maps with constant Lyapunov exponent

We consider families of piecewise linear maps in which the moduli of the two slopes take different values. In some parameter regions, despite the variations in the dynamics, the Lyapunov exponent and the topological entropy remain constant. We provide numerical evidence of this fact and we prove it analytically for some special cases. The mechanism is very different from that of the logistic map and we conjecture that the Lyapunov plateaus reflect arithmetic relations between the slopes.Comment: 26 pages, 13 figure

Bifurcations in the Lozi map

We study the presence in the Lozi map of a type of abrupt order-to-order and order-to-chaos transitions which are mediated by an attractor made of a continuum of neutrally stable limit cycles, all with the same period.Comment: 17 pages, 12 figure

Emergence of hierarchical networks and polysynchronous behaviour in simple adaptive systems

We describe the dynamics of a simple adaptive network. The network architecture evolves to a number of disconnected components on which the dynamics is characterized by the possibility of differently synchronized nodes within the same network (polysynchronous states). These systems may have implications for the evolutionary emergence of polysynchrony and hierarchical networks in physical or biological systems modeled by adaptive networks.Comment: 4 pages, 4 figure

Generational Mass Splitting of Neutrinos in High Temperature SU(2)L⊗U(1)SU(2)_{\scriptscriptstyle{L}}\otimes U(1) Gauge Theory

We calculate the generational mass splitting of neutrinos in high temperature $SU(2)_{\scriptscriptstyle{L}}\otimes U(1)$ gauge theory when the temperature is above $250$ GeV and the gauge symmetry is restored. We consider the case of neutrinos that are massless at tree level as well as the case of neutrinos with tree-level mass and large mixing.Comment: 12 Pages, JHU-TIPAC-940008/INFNCA-TH-94-

Generating Posit-Based Accelerators With High-Level Synthesis

Recently, the posit number system has demonstrated a higher accuracy over standard floating-point arithmetic for many scientific applications. However, when it comes to implementing accelerators for these applications, the tool support for this arithmetic format is still missing, especially during the step. In this paper, we incorporate the posit data type into the high-level synthesis (HLS) design process, so that we can generate the implementation directly from a given behavioral specification, but using posit numbers instead of the classical floating-point notations. Our evaluations show that, even if posit-based circuits require more area than their floating-point counterparts, they offer higher accuracy when using the same bitwidth. For example, using posit arithmetic can reduce computation errors by about two orders of magnitude when compared to using standard floating-point numbers. Our approach also includes an alternative to mitigate the high overheads of the posits and broadening the potential use of this format. We also propose a hybrid scheme that uses posit numbers only in the private local memory, while the accelerator operates in the classic floating-point notation. This solution is useful when the designers want to optimize local memories and data transfers, but still use legacy high-level synthesis (HLS) tools that only support traditional floating-point notations

Measure of the size of CP violation in extended models

In this letter we introduce a possible measure of the size of CP violation in the Standard Model and its extensions, based on quantities invariant under the change of weak quark basis. We also introduce a measure of the ``average size'' of CP violation in a model, which can be used to compare the size of CP violation in models involving extra sequential or vector-like quarks, or left-right symmetry.Comment: LaTeX, 7 pages, no figure