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Mixed-Mode Oscillations in a Stochastic, Piecewise-Linear System [PDF]
, 2010 We analyze a piecewise-linear FitzHugh-Nagumo model. The system exhibits a canard near which both small amplitude and large amplitude periodic orbits exist.
Alili +56 more
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Exploring the suitability of piecewise-linear dynamical system models for cognitive neural dynamics [PDF]
Frontiers in NeuroscienceDynamical system models have proven useful for decoding the current brain state from neural activity. So far, neuroscience has largely relied on either linear models or non-linear models based on artificial neural networks (ANNs).
Jiemin Wu +6 more
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Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System
Abstract and Applied Analysis, 2013 This paper concerns limit cycle bifurcations by perturbing a piecewise linear Hamiltonian system. We first obtain all phase portraits of the unperturbed system having at least one family of periodic orbits.
Yanqin Xiong, Maoan Han
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FEEDBACK LINEARIZATION OF PIECEWISE LINEAR SYSTEMS [PDF]
IFAC Proceedings Volumes, 2005 One of the classical problems of nonlinear systems and control theory is feedback linearization. Its obvious motivation is that one can utilize linear control theory if the nonlinear system at hand is linearizable by feedback. This problem is well-understood for the smooth nonlinear systems. In the present paper, we investigate feedback linearizability
Çamlıbel, Mehmet Kanat +1 more
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On Robust Global Error Bounds for a Class of Uncertain Piecewise Linear Inequality Systems
Axioms, 2022 This paper is concerned with the radius of robust global error bounds for an uncertain piecewise linear inequality system where the uncertain data are assumed to be in polytope uncertain sets.
Wen Tan, Xiaole Guo, Xiangkai Sun
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Mathematics, 2022 In this paper, the dynamic response of piecewise linear systems with asymmetric damping and stiffness for random excitation is studied. In order to approximate the statistical characteristics for each significant output of piecewise linear system, a ...
Tudor Sireteanu +3 more
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IET Control Theory & Applications, 2021 Mathematical modelings of many electric and mechanical systems involve piecewise linear system. Piecewise linear system can possess a periodic solution called a limit‐cycle oscillation (LCO), which can seriously undermine the system performance ...
Yongeun Yoon, Eric N Johnson
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Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we study the existence of limit cycles in continuous and discontinuous planar piecewise linear Hamiltonian differential system with two or three zones separated by straight lines and such that the linear systems that define the piecewise ...
Claudio Pessoa, Ronisio Ribeiro
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IEEE Access, 2021 The amplitude-frequency response of a nonlinear vibration system with the coexistence of stiffness and viscous damping piecewise linearities are analysed by means of analytical, numerical and experimental investigations.
Yixia Sun
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Iterative Solution of Piecewise Linear Systems [PDF]
SIAM Journal on Scientific Computing, 2008 The correct formulation of numerical models for free-surface hydrodynamics often requires the solution of special linear systems whose coefficient matrix is a piecewise constant function of the solution itself. In so doing one may prevent the development of unrealistic negative water depths.
BRUGNANO, LUIGI, V. Casulli
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