On a van der Pol type equation with delay in damping
نویسندگان
چکیده
منابع مشابه
On a Van Der Pol Type Equation with Delay in Damping
here \(t) is continuous on [—r, 0],^ and r are positive constants, and the prime denotes derivative with respect to the independent variable t. It is well known that for r = a = 0, this equation will have nontrivial periodic solutions characterized by a so-called limit cycle in the (x, a/)-plane, and that each nontrivial solution will approach such a periodic solution as t —> oo. If r > 0 an...
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In this paper, the van der Pol equation with a time delay is considered, where the time delay is regarded as a parameter. It is found that Hopf bifurcation occurs when this delay passes through a sequence of critical value. A formula for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions is given by using the normal form method and center manif...
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SHAOWEN LI a,b , XIAOFENG LIAO a,c and SHAORONG LI a College of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, China; Department of Mathematics, Southwest University of Finance and Economics, Chengdu 610074, P. R. China; [email protected] Department of Computer Sciences and Engineering, Chongqing University, Chongqing 400044, P. R. China. [email protected]...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1998
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1637044