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Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.12.042
Abstract: Abstract This paper is concerned with the upper bound of the number of limit cycles in unfolding of codimension 3 planar singularities with nilpotent linear parts. After making a central rescaling, the problem reduces to…
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Keywords:
nilpotent linear;
codimension;
linear parts;
abelian integrals ... See more keywords
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Published in 2019 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2018-0189
Abstract: Abstract The global (absolute) stability of nonlinear systems with negative feedbacks and positive not necessary asymptotically stable linear parts is addressed. The characteristics u=f(e) u = f(e) of the nonlinear parts satisfy the condition k1e≤f(e)≤k2e…
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Keywords:
nonlinear feedback;
linear parts;
stability nonlinear;
global stability ... See more keywords
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Published in 2020 at "International Journal of Applied Mathematics and Computer Science"
DOI: 10.34768/amcs-2020-0036
Abstract: Abstract The global (absolute) stability of nonlinear systems with fractional positive and not necessarily asymptotically stable linear parts and feedbacks is addressed. The characteristics u = f(e) of the nonlinear parts satisfy the condition k1e…
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Keywords:
linear parts;
stability nonlinear;
systems fractional;
fractional positive ... See more keywords