Coexistence of three heteroclinic cycles and chaos analyses for a class of 3D piecewise affine systems.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0132018
Abstract: Our objective is to investigate the innovative dynamics of piecewise smooth systems with multiple discontinuous switching manifolds. This paper establishes the coexistence of heteroclinic cycles in a class of 3D piecewise affine systems with three… read more here.
Keywords: affine systems; coexistence; piecewise affine; heteroclinic cycles ... See more keywords
Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2922495
Abstract: We consider a class of continuous-time hybrid dynamical systems that correspond to subgradient flows of a piecewise linear and convex potential function with finitely many pieces, and which includes the fluid-level dynamics of the Max-Weight… read more here.
Keywords: class piecewise; piecewise constant; cumulative perturbations; sensitivity cumulative ... See more keywords
The Identification of the Relative Permeabilities in the Class of the Piecewise Linear Functions
Sign Up to like & getrecommendations! Published in 2020 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080220070100
Abstract: The problem of identifying the relative permeabilities under isothermal three-phase flow in a porous medium is considered. The identification problem is reduced to minimizing the residual function based on known values of the flow rate.… read more here.
Keywords: identification relative; permeabilities class; relative permeabilities; linear functions ... See more keywords