Piecewise linear differential systems with two real saddles
In this paper we study piecewise linear differential systems formed by two regions separated
by a straight line so that each system has a real saddle point in its region of definition. If both
saddles are conveniently situated, they produce a transition flow from a segment of the
splitting line to another segment of the same line, and this produces a generalized singular
point on the line. This point is a focus or a center and there can be found limit cycles around
it. We are going to show that the maximum number of limit cycles that can bifurcate from this …
by a straight line so that each system has a real saddle point in its region of definition. If both
saddles are conveniently situated, they produce a transition flow from a segment of the
splitting line to another segment of the same line, and this produces a generalized singular
point on the line. This point is a focus or a center and there can be found limit cycles around
it. We are going to show that the maximum number of limit cycles that can bifurcate from this …
Piecewise linear differential systems with two real saddles
In this paper we study piecewise linear differential systems formed by two regions separated
by a straight line so that each system has a real saddle point in its region of definition. If both
saddles are conveniently situated, they produce a transition flow from a segment of the
splitting line to another segment of the same line, and this produces a generalized singular
point on the line. This point is a focus or a center and there can be found limit cycles around
it. We are going to show that the maximum number of limit cycles that can bifurcate from this …
by a straight line so that each system has a real saddle point in its region of definition. If both
saddles are conveniently situated, they produce a transition flow from a segment of the
splitting line to another segment of the same line, and this produces a generalized singular
point on the line. This point is a focus or a center and there can be found limit cycles around
it. We are going to show that the maximum number of limit cycles that can bifurcate from this …
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