6 papers
A Kinematic and Geometric Analysis of Trochoidal Waves
Andrew D Irving, Ebrahim L Patel
To study the geometry of Gerstner's water wave model, we analyse the velocity of his fluid particles in a reference frame that moves with the wave. Gerstner wave profiles are cyclo…
On the maxmin- eigenspaces and their over-approximation by zones
Muhammad Syifa'ul Mufid, Ebrahim Patel, Sergei Sergeev
Maxmin- dynamical systems were previously introduced as a generalization of dynamical systems expressed by tropical linear algebra. To describe steady states of such systems one…
Solving Linear Equations Over Maxmin- Systems
Muhammad Syifa'ul Mufid, Ebrahim Patel, Sergei Sergeev
Maxmin- dynamical systems were previously introduced as an ``all-in-one package'' that can yield a solely min-plus, a solely max-plus, or a max-min-plus dynamical system by vary…
A new threshold model based on tropical mathematics reveals network backbones
Ebrahim L. Patel
Maxmin- is a new threshold model, where each node in a network waits for the arrival of states from a fraction of neighborhood nodes before processing its own state, and sub…
Max-Plus Opinion Dynamics With Temporal Confidence
Daniel Feinstein, Ebrahim Patel
Often in the setting of human-based interactions, the existence of a temporal hierarchy of information plays an important role in diffusion and opinion dynamics within communities.…
A Max-Plus Model of Asynchronous Cellular Automata
Ebrahim L. Patel, David Broomhead
This paper presents a new framework for asynchrony. This has its origins in our attempts to better harness the internal decision making process of cellular automata (CA). Thus, we…