Topic
Boolean delay equation
About: Boolean delay equation is a research topic. Over the lifetime, 6 publications have been published within this topic receiving 148 citations.
Papers
TL;DR: In this article, the authors present a simulation of the morphological behaviour of estuaries in the event of global climate change and human interference, which is based on a system approach and Boolean logic (otherwise referred to by the authors as Boolean delay equation [BDE] modelling).
Abstract: Karunarathna and Reeve (2008) recently presented what they refer to as an "estuary simulator," based on a systems approach and Boolean logic (otherwise referred to by the authors as Boolean delay equation [BDE] modelling), which is "meant to predict mediumto long-term morphological behaviour of estuaries in the event of global climate change and human interference" (p.51). While this is a noble ambition, and a systems approach can certainly provide a convenient way of conceptualising the interactions between different geomorphological elements within estuaries {e.g.y banks, channels, tidal flats, salt marshes), a number of aspects require comment.
TL;DR: In this article, the authors derived and presented two BDE models for the bovine estrous cycle, one directly derived from a previously published ordinary differential equation (ODE) model, whereas the second model includes a modification of a particular biological mechanism.
TL;DR: In this paper, the authors consider the problem of predicting abrupt overall changes in the behavior of hierarchical complex systems, using the model developed in the first part of this study. And they focus on the earthquake prediction problem; accordingly, the model's heuristic constraints are taken from the dynamics of seismicity.
Abstract: We consider here prediction of abrupt overall changes (“critical transitions”) in the behavior of hierarchical complex systems, using the model developed in the first part of this study. The model merges the physical concept of colliding cascades with the mathematical framework of Boolean delay equations. It describes critical transitions that are due to the interaction between direct cascades of loading and inverse cascades of failures in a hierarchical system. This interaction is controlled by distinct delays between switching of elements from one state to another: loaded vs. unloaded and intact vs. failed. We focus on the earthquake prediction problem; accordingly, the model's heuristic constraints are taken from the dynamics of seismicity. The model exhibits four major types of premonitory seismicity patterns (PSPs), which have been previously identified in seismic observations: (i) rise of earthquake clustering; (ii) rise of the earthquakes' intensity; (iii) rise of the earthquake correlation range; and (iv) certain changes in the size distribution of earthquakes (Gutenberg–Richter relation). The model exhibits new features of individual PSPs and their collective behavior, to be tested in turn on observations. There are indications that the premonitory phenomena considered are not seismicity-specific, but may be common to hierarchical systems of a more general nature.
TL;DR: In this paper, a simple conceptual model for the El-Nino/Southern Oscillation (ENSO) phenomenon is presented, which uses Boolean variables to represent key atmospheric and oceanic quantities and equations that involve logical operators to describe their evolution.
TL;DR: In this paper, a Boolean delay equation (BDE) model is presented for the interdecadal Arctic and Greenland Sea climate cycle, which is based on the Mysak, Manak and Marsden model.
Abstract: A Boolean delay equation (BDE) model is presented for the interdecadal Arctic and Greenland Sea climate cycle recently proposed by Mysak, Manak and Marsden It is shown that 15- to 20-year oscillations can occur in the model for a variety of time delays in the BDEs However, both the period and structure of the oscillations are sensitive to the initial conditions In an extended model, in which the convection in the Greenland Sea is dependent upon the ice conditions during each of several previous years as well as the current year, the solution structure is more realistic, with two jumps per period of oscillation
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |
| 2008 | 1 |
| 2003 | 2 |
| 2001 | 1 |
| 1993 | 1 |