Center boundaries for planar piecewise-smooth differential equations 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.
متن کاملStability calculations for Piecewise-Smooth Delay Equations
This paper describes a new method for computing the stability of nonsmooth periodic orbits of piecewise-smooth dynamical systems with delay. Stability computations for piecewise-smooth dynamical systems without delay have previously been performed using discontinuity mappings to ‘correct’ the linearized periodmap. However, this approach is less convenient for systems with delays due to the infi...
متن کاملRetarded Differential Equations with Piecewise Constant Delays
Profound and close links exist between functional and functional differential equations. Thus, the study of the first often enables one to predict properties of differential equations of neutral type. On the other hand, some methods for the latter in the special case when the deviation of the argument vanishes at individual points have been used to investigate functional equations [ 11. Functio...
متن کاملThree Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones
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 by S.-M. Huan and X.-S. Yang in [8] who numerically showed that it can exhibit 3 limit cycles surrounding the real focus. This is the...
متن کاملThree Nested Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2017
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.07.022