Results 11 to 20 of about 73,929 (126)
Physica D: Nonlinear Phenomena, 2013 Three-dimensional symmetric piecewise linear differential systems near the conditions corresponding to the fold-Hopf bifurcation for smooth systems are considered. By introducing one small parameter, we study the bifurcation of limit cycles in passing through its critical value, when the three eigenvalues of the linear part at the origin are at the ...
Ponce Núñez, Enrique +2 more
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On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry [PDF]
Nonlinear Analysis: Real World Applications, 2013 Some techniques to show the existence and uniqueness of limit cycles, typically stated for smooth vector fields, are extended to continuous piecewise-linear differential systems.
Llibre Saló, Jaume +2 more
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Discrete and Continuous Dynamical Systems - S, 2023 Due to their applications to many physical phenomena during these last decades the interest for studying the continuous or discontinuous piecewise differential systems has increased strongly. The limit cycles play a main role in the study of any planar differential system.
Jaume Llibre
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Mathematics, 2022 The object under investigation is a controllable linear stochastic differential system affected by some external statistically uncertain piecewise continuous disturbances.
Alexey Bosov, Andrey Borisov
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Bifurcations in Continuous Piecewise Linear Differential Systems
, 2022 RSME Springer Series, Volume 7. ISSN 2509-8888, ISSN 2509-8896 (electronic) // Copyright 2022 Springer Nature. Sin acceso al documento.
Ponce Núñez, Enrique +2 more
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International Journal of Bifurcation and Chaos, 2022 We study the crossing periodic orbits and limit cycles of the planar piecewise-continuous differential systems separated by the straight-line [Formula: see text] having in [Formula: see text] the general quadratic isochronous center [Formula: see text], [Formula: see text] after an affine transformation, and in [Formula: see text] an arbitrary ...
Bilal Ghermoul +2 more
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Global analysis on a continuous planar piecewise linear differential system with three zones
Electronic Journal of Differential Equations, 2023 This article concerns the global dynamics of a continuous planar piecewise linear differential system with three zones. We give global phase portraits in the Poincare disc and classify bifurcation diagrams under certain parametric conditions, when the dynamics of central linear zone is anti-saddle.
Man Jia, Youfeng Su, Hebai Chen
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Global studies on a continuous planar piecewise linear differential system with three zones
Nonlinear Dynamics, 2022 Abstract This paper is concerned with the global dynamics of a continuous planar piecewise linear differential system with three zones, where the dynamic of the one of the exterior linear zones is saddle and the remaining one is anti-saddle. We give all global phase portraits in the Poincare disc and the complete bifurcation diagram including ...
Man Jia, Youfeng Su, Hebai Chen
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International Journal of Bifurcation and Chaos, 2022 First, we study the planar continuous piecewise differential systems separated by the straight line [Formula: see text] formed by a linear isochronous center in [Formula: see text] and an isochronous quadratic center in [Formula: see text]. We prove that these piecewise differential systems cannot have crossing periodic orbits, and consequently they ...
Bilal Ghermoul +2 more
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Unpredictable Solutions of Linear Impulsive Systems
Mathematics, 2020 We consider a new type of oscillations of discontinuous unpredictable solutions for linear impulsive nonhomogeneous systems. The models under investigation are with unpredictable perturbations.
Marat Akhmet +3 more
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