Limit cycles of a perceptron

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...

Relationships 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.

Credit 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...

Investigating 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 ...

Perceptron beyond the limit of capacity