Dynamic properties of piecewise linear systems with fractional time-delay feedback
The forced vibration of a single-degree-of-freedom piecewise linear system containing fractional time-delay feedback was investigated. The approximate analytical solution of the system was obtained by employing an averaging method.
Jianchao Zhang +3 more
doaj +1 more source
A two-dimensional asymmetric bistable stochastic resonance (TABSR) system model is proposed, and the parameter optimization is performed adaptively by genetic algorithm (GA).
Gang Zhang, Yichen Shu, Tianqi Zhang
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Piecewise linear identification of non-linear systems [PDF]
Methods of identifying a series of piecewise linear models which approximate to a non-linear system over some operating range are investigated. Spatial linear models and models with signal-dependent parameters are considered.
S. A. BILLINGS, W. S. F. VOON
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Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields [PDF]
In the present study we consider planar piecewise linear vector fields with two zones separated by the straight line $x=0$. Our goal is to study the existence of simultaneous crossing and sliding limit cycles for such a class of vector fields.
Cardoso, Joao L. +3 more
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Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line [PDF]
A BSTRACT . The existence of a uniform upper bound for the maximum number of limit cycles of planar piecewise linear differ- ential systems with two zones separated by a straight line has been subject of interest of hundreds of papers. After more than 30
V. Carmona +2 more
semanticscholar +1 more source
Due to their applications to many physical phenomena during these last decades the interest for studying the discontinuous piecewise differential systems has increased strongly.
Rebiha Benterki +2 more
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Homoclinic Bifurcations in Planar Piecewise-Linear Systems [PDF]
The problem of homoclinic bifurcations in planar continuous piecewise-linear systems with two zones is studied. This is accomplished by investigating the existence of homoclinic orbits in the systems. The systems with homoclinic orbits can be divided into two cases: the visible saddle-focus (or saddle-center) case and the case of twofold nodes with ...
Bin Xu, Fenghong Yang, Yun Tang, Mu Lin
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The decay of mechanical oscillations in piecewise linear system
The application of the dynamical dampers in the mechanical systems, when the sources of stimulation are impossible to abolish, is one of the ways to fight against the harmful vibrations.
GenovaitÄ— ZaksienÄ—
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Local wellposedness of quasilinear Maxwell equations with conservative interface conditions [PDF]
We establish a comprehensive local wellposedness theory for the quasilinear Maxwell system with interfaces in the space of piecewise $H^m$-functions for $m \geq 3$.
Schnaubelt, Roland, Spitz, Martin
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On limit cycles of piecewise differential systems formed by arbitrary linear systems and a class of quadratic systems [PDF]
We study the continuous and discontinuous planar piecewise differential systems separated by a straight line and formed by an arbitrary linear system and a class of quadratic center.
Aziza Berbache
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