Limit cycles of piecewise smooth differential systems of the type nonlinear centre and saddle

N Phatangare, K Masalkar, S Kendre - Journal of Difference …, 2024 - Taylor & Francis
Piecewise linear differential systems separated by two parallel straight lines of the type of
centre-centre-Hamiltonian saddle and the centre-Hamiltonian saddle-Hamiltonian saddle …

Crossing limit cycles bifurcating from two or three period annuli in discontinuous planar piecewise linear Hamiltonian differential systems with three zones

DC Braga, AF Fonseca, LF Mello… - … Journal of Bifurcation …, 2023 - World Scientific
The main topic studied in this article is the number of crossing limit cycles bifurcating from
two or three period annuli in discontinuous planar piecewise linear Hamiltonian differential …

The discontinuous planar piecewise linear systems with two improper nodes have at most one limit cycle

L Chen, C Liu - Nonlinear Analysis: Real World Applications, 2024 - Elsevier
The existence and number of limit cycles of planar piecewise linear systems with two
improper nodes are studied. By constructing the Poincaré half maps and the successor …

Four crossing limit cycles of a family of discontinuous piecewise linear systems with three zones separated by two parallel straight lines

A Berbache, I Tababouchet - Boletín de la Sociedad Matemática Mexicana, 2024 - Springer
In this paper, we study the maximum number of limit cycles that can exhibit a planar
discontinuous piecewise differential system separated by two parallel straight lines and …

Results about structural stability and the existence of limit cycles for piecewise smooth linear differential equations separated by the unit circle

MDA Caldas, RM Martins - São Paulo Journal of Mathematical Sciences, 2024 - Springer
In this article, we investigate the structural stability and the existence of limit cycles in
families of piecewise smooth differential equations where the unit circle serves as the …