Results 21 to 30 of about 1,442,152 (332)
Global dynamics of an asymmetry piecewise linear differential system: Theory and applications
, 2020 In this paper, we have completely studied a four-parameter family of continuous piecewise linear differential systems with three linear regions and no symmetry in the compactification space of R 2 .
Hebai Chen +3 more
semanticscholar +1 more source
Characterization of well-posedness of piecewise-linear systems [PDF]
IEEE Transactions on Automatic Control, 2000 Summary: One of the basic issues in the study of hybrid systems is the well-posedness (existence and uniqueness of solutions) problem of discontinuous dynamical systems. The paper addresses this problem for a class of piecewise-linear discontinuous systems under the definition of solutions of Carathéodory.
Jun-ichi Imura, Arjan van der Schaft
openaire +2 more sources
MATEC Web of Conferences, 2018 This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear ...
Leibov Roman
doaj +1 more source
Energy Reports, 2022 Energy harvesters based on a piecewise linear system make it possible to extract more energy from environment vibrations. The amplitude truncation effect is a phenomenon of an energy harvester with a piecewise linear system.
Yan Peng +7 more
doaj +1 more source
On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line [PDF]
, 2014 In this paper we study the maximum number $N$ of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line.
Euzébio, Rodrigo D., Llibre, Jaume
core +4 more sources
Piecewise Linear Systems with Closed Sliding Poly-Trajectories [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De Moraes, Jaime R., Da Silva, Paulo R.
openaire +4 more sources
Computation of periodic orbits for piecewise linear oscillator by Harmonic Balance Methods
Communications in nonlinear science & numerical simulation, 2022 In this paper, Harmonic Balance based methods, namely Incremental Harmonic Balance Method and the method of Harmonic Balance with Alternating Frequency and Time traditionally used to compute periodic orbits of smooth nonlinear dynamical systems are ...
L. Pei +3 more
semanticscholar +1 more source
Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System [PDF]
, 2008 The proof of the existence of a global connection in differential systems is generally a difficult task. Some authors use numerical techniques to show this existence, even in the case of continuous piecewise linear systems.
Carmona Centeno, Victoriano +2 more
core +1 more source
The cylinder manifold piecewise linear system: Analysis and implementation
, 2015 This paper presents a novel autonomous chaotic system defined by a second-order piecewise linear system on the cylinder-type phase space and hysteresis switching.
Kazuyuki Kimura +3 more
semanticscholar +1 more source
Optimal Operation of High-Speed Trains Using Hybrid Model Predictive Control
Journal of Advanced Transportation, 2018 The high-speed train operation process is highly nonlinear and has multiple constraints and objectives, which lead to a requirement for the automatic train operation (ATO) system.
Yingze Yang +5 more
doaj +1 more source