Algebraic Limit Cycles in Piecewise Linear Differential Systems
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Buzzi, Claudio A. [UNESP]
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World Scientific Publ Co Pte Ltd
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some one-parameter families with a saddle-node bifurcation of algebraic limit cycles. We also show that all degrees for algebraic limit cycles are allowed.
Nonsmooth differential system, piecewise linear differential system, algebraic limit cycle, hyperbolic and double limit cycle, saddle-node bifurcation of limit cycles
International Journal Of Bifurcation And Chaos. Singapore: World Scientific Publ Co Pte Ltd, v. 28, n. 3, 14 p., 2018.