On the existence of heteroclinic cycles in some class of 3-dimensional piecewise affine systems with two switching planes
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3856-8
Abstract: Since complicated dynamical behavior can occur easily near homoclinic trajectory or heteroclinic cycle in dynamical systems with dimension not less than three, this paper investigates the existence of heteroclinic cycles in some class of 3-dimensional… read more here.
Keywords: cycles class; piecewise affine; class dimensional; affine systems ... See more keywords
Coexistence of three heteroclinic cycles and chaos analyses for a class of 3D piecewise affine systems.
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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