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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
One of the most challenging problems in the qualitative theory of piecewise linear differential systems is determining their maximum number of crossing limit cycles.
Halla Sellami +2 more
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One of the most challenging problems in the qualitative theory of piecewise linear differential systems is determining their maximum number of crossing limit cycles.
Halla Sellami +2 more
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Mathematical methods in the applied sciences
These last decades piecewise differential systems have been studied intensively, mainly due to their applications. Inside the study of the dynamics of these differential systems, the limit cycles, that is, the isolated periodic orbits inside the set of ...
N. Chachapoyas +3 more
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These last decades piecewise differential systems have been studied intensively, mainly due to their applications. Inside the study of the dynamics of these differential systems, the limit cycles, that is, the isolated periodic orbits inside the set of ...
N. Chachapoyas +3 more
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International Journal of Bifurcation and Chaos, 2021
For a family of planar piecewise linear differential systems with two zones both having virtual foci, we investigate the appearance of limit cycles bifurcated from a global center (i.e. Poincaré bifurcations of limit cycles) when the discontinuity boundary is perturbed by the appearance of a nonregular point. Precisely, when the discontinuity boundary,
Song-Mei Huan, Tian-Tian Wu, Lei Wang
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For a family of planar piecewise linear differential systems with two zones both having virtual foci, we investigate the appearance of limit cycles bifurcated from a global center (i.e. Poincaré bifurcations of limit cycles) when the discontinuity boundary is perturbed by the appearance of a nonregular point. Precisely, when the discontinuity boundary,
Song-Mei Huan, Tian-Tian Wu, Lei Wang
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Limit cycles in planar discontinuous piecewise linear Hamiltonian systems with three equal sectors
ChaosIn these last decades, the interest on the discontinuous piecewise differential systems has increased strongly, mainly due to their big number of applications. In their study, the existence or not of limit cycles play a main role. In this paper, we study
A. Bakhshalizadeh, J. Llibre
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International Journal of Bifurcation and Chaos, 2014
In this paper, we study the existence of limit cycles for piecewise linear differential systems with two zones in the plane. More precisely, we prove the existence of piecewise linear differential systems with two zones in the plane with four, five, six and seven limit cycles.
Denis De Carvalho Braga +1 more
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In this paper, we study the existence of limit cycles for piecewise linear differential systems with two zones in the plane. More precisely, we prove the existence of piecewise linear differential systems with two zones in the plane with four, five, six and seven limit cycles.
Denis De Carvalho Braga +1 more
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Journal of Mathematical Analysis and Applications
Known results show that, with a θ-angular switching boundary for θ ∈(0, π], a planar piecewise linear differential system formed by two Hamiltonian linear sub-systems has no crossing algebraic limit cycles of type I, i.e., those cycles crossing one of the two sides of the θ-angular switching boundary twice only, and at most two crossing algebraic limit
Jaume Llibre +2 more
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Known results show that, with a θ-angular switching boundary for θ ∈(0, π], a planar piecewise linear differential system formed by two Hamiltonian linear sub-systems has no crossing algebraic limit cycles of type I, i.e., those cycles crossing one of the two sides of the θ-angular switching boundary twice only, and at most two crossing algebraic limit
Jaume Llibre +2 more
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Mathematical methods in the applied sciences
Determining the maximum number of crossing limit cycles remains among the most challenging problems in the qualitative theory of piecewise linear differential systems.
Meriem Barkat +2 more
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Determining the maximum number of crossing limit cycles remains among the most challenging problems in the qualitative theory of piecewise linear differential systems.
Meriem Barkat +2 more
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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Because of their applications, the study of piecewise-linear differential systems has become increasingly important in recent years. This type of system already exists to model many different natural phenomena in physics, biology, economics, etc.
Louiza Baymout, Rebiha Benterki
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Because of their applications, the study of piecewise-linear differential systems has become increasingly important in recent years. This type of system already exists to model many different natural phenomena in physics, biology, economics, etc.
Louiza Baymout, Rebiha Benterki
semanticscholar +1 more source
Cyclic periodic synchronization in a ring–star network of piecewise-linear discontinuous maps
ChaosIn this paper, we explored the emergence of cyclic periodic synchronization patterns in networks of coupled piecewise-linear discontinuous (PLD) maps.
Vismaya V S +2 more
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