Limit cycles for discontinuous quadratic differential systems with two zones
نویسندگان
چکیده
منابع مشابه
Arbitrary Number of Limit Cycles for Planar Discontinuous Piecewise Linear Differential Systems with Two Zones
For any given positive integer n we show the existence of a class of discontinuous piecewise linear differential systems with two zones in the plane having exactly n hyperbolic limit cycles. Moreover, all the points on the separation boundary between the two zones are of sewing type, except the origin which is the only equilibrium point.
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In this paper we study a planar piecewise linear differential system formed by two regions separated by a straight line so that one system has a real unstable focus and the other a virtual stable focus which coincides with the real one. This system was introduced in a very recent paper (On the number of limit cycles in general planar piecewise linear systems, Discrete and Continuous Dynamical S...
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For a given differential system, a limit cycle is a periodic orbit isolated in the set of all its periodic orbits. Within the qualitative theory of differential systems, the study of their limit cycles is one of the main topics. Many questions are considered on the limit cycles of the differential systems in R2. Thus, one of the main lines of research for such systems is the study of how many l...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2014
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2013.12.031