Development of Continuous and Discrete Neural Maps

Development of Continuous and Discrete Neural Maps

Two qualitatively different kinds of neural map have been described: continuous maps exemplified by the visual retinotopic map, and discrete maps exemplified by the olfactory glomerular map. Here, we review developmental mechanisms of retinotopic and olfactory glomerular mapping and discuss underlying commonalities that have emerged from recent studies. These include the use of molecular gradie...

Discrete Versus Continuous Maps – A Cryptographical Comparison

Abstract— Discrete-value and continuous-value maps are compared with respect to their cryptographical properties. In order to provide a more rigid evaluation of nonlinear chaotic encryption systems information-theoretic measures are derived that allow a comparison with classical discrete-value systems. Furthermore the consideration gives some insight about the general limitations of continuousv...

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...

Neural Maps: Their Function and Development

A Continuous-time Hoppeld Net Simulation of Discrete Neural Networks a Continuous-time Hoppeld Net Simulation of Discrete Neural Networks

We investigate the computational power of continuous-time symmetric Hoppeld nets. Since the dynamics of such networks are governed by Liapunov (energy) functions, they cannot generate innnite nondamping oscillations, and hence cannot simulate arbitrary (potentially divergent) discrete computations. Nevertheless, we prove that any conver-gent fully parallel computation by a network of n discrete...