Period doubling and Chaotic behavior of solutions to y#x2032;t) #x3BC;y(t)(1 #x2212; y(#x3B4;(t+#x3B1;)/#x3B4;))

摘要

We consider the class of differential equations of the form y#x2032;(t) = amp;mu;fiy(t)(lamp;dminus; - y(amp;bcy;8(tamp;doplus; +amp;alpha;) amp;minusb;^divide; amp;bcy;)), amp;mu;p, amp;bcy6 amp;ges;amp;0, amp;alpha;amp;ge;0 and study the period doubling and chaotic behavior of solutions as a function of the paramenters #x3BC;, #x3B4; and #x3B1;.