Dynamics is not enough for cognition nor is it a substitute for information processing aspects of brain behavior. Moreover, dynamics and computation are not at odds, but are quite compatible. They can be synthesized so that any dynamical system can be analyzed in terms of its intrinsic...

In this paper we prove a Faber-Krahn-type inequality for regular trees and give a complete characterization of extremal trees. The main tools are rearrangements and perturbation of regular trees.

We show closed-form analytic functions consisting of a finite number of trigonometric terms can simulate Turing machines, with exponential slowdown in one dimension or in real time in two or more. <p> Key words. dynamical systems, universal computation, iterated maps, analytic functions, Halting...</p>

RNA viruses are known to replicate with extremely high mutation rates. These rates are actually close to the so-called error threshold. This threshold is in fact a critical point beyond which genetic information is lost through a second-order phase transition, which has been dubbed the ``error...

We present and analyze a model for the cross-regulation of the Th1 and Th2 helper cell subsets during an immune response by the regulatory cytokines interferon-$\gamma$ (IFN-$\gamma$) and interleukin-10 (IL-10). IFN-$\gamma$, secreted by Th1 cells, can inhibit the proliferation of Th2 cells....

I consider the research university from a complex adaptive systems perspective, and offer some modest proposals for the university of the future-a student-based complex adaptive learning community in which both feedback and transdisciplinary problem-oriented Centers play central roles. <p> <p> To...</p></p>

In recent studies, new measures of complexity for nonlinear systems have been proposed based on probabilistic grounds, as the LMC measure (Phys. Lett. A 209 (1995) 321). All these measures share an intuitive consideration: complexity seems to emerge in nature close to instability points, as for...

This paper introduces a simple two-dimensional map exhibiting several generic properties reported in excitable systems. The elementary dynamic that is analogous to that of neural elements, is analyzed using phase-plane methods. Bifurcations from non-autonomous to autonomous, and from periodic to...