Limit cycles of a perceptron
نویسندگان
چکیده
An artificial neural network can be used to generate a series of numbers. A boolean perceptron generates bit sequences with a periodic structure. The corresponding spectrum of cycle lengths is investigated analytically and numerically; it has similarities with properties of rational numbers.
منابع مشابه
Bifurcation of limit cycles from a quadratic reversible center with the unbounded elliptic separatrix
The paper is concerned with the bifurcation of limit cycles in general quadratic perturbations of a quadratic reversible and non-Hamiltonian system, whose period annulus is bounded by an elliptic separatrix related to a singularity at infinity in the poincar'{e} disk. Attention goes to the number of limit cycles produced by the period annulus under perturbations. By using the appropriate Picard...
متن کاملRelationships between Darboux Integrability and Limit Cycles for a Class of Able Equations
We consider the class of polynomial differential equation x&= , 2(,)(,)(,)nnmnmPxyPxyPxy++++2(,)(,)(,)nnmnmyQxyQxyQxy++&=++. For where and are homogeneous polynomials of degree i. Inside this class of polynomial differential equation we consider a subclass of Darboux integrable systems. Moreover, under additional conditions we proved such Darboux integrable systems can have at most 1 limit cycle.
متن کاملCredit Cycles of the Iranian Economy
There is a lot of evidence on the relationship between business cycles and financial. We study the credit cycles of the Iranian Economy and their relationship with the business cycles. The literature suggests using various indicators for credit cycles. We use the ratio of banking loan to the private sector to potential nominal GDP as the indicator of credit status. Contraction and expansion per...
متن کاملInvestigating the Impact of Driving Cycle on 3-way Catalyst Degradation and Emission Characteristics of ICEV
Internal Combustion Engine Vehicles or ICEVs play a major role in air pollution for big cities like Tehran. Catalyst converters manage to contain much of the generated pollution from combustion and are considered as a mandatory part of any vehicle. Manufacturer guidelines clarify a certain mileage for catalyst to be regarded as completely degraded and thus unable to contain harmful gasses from ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997