A note on attractivity for the intersection of two discontinuity manifolds

• Autorzy: Difonzo Fabio V.

Identyfikatory

DOI

10.7494/OpMath.2020.40.6.685

• Języki publikacji: EN

Abstrakty

EN

In piecewise smooth dynamical systems, a co-dimension 2 discontinuity manifold can be attractive either through partial sliding or by spiraling. In this work we prove that both attractivity regimes can be analyzed by means of the moments solution, a spiraling bifurcation parameter and a novel attractivity parameter, which changes sign when attractivity switches from sliding to spiraling attractivity or vice-versa. We also study what happens at what we call attractivity transition points, showing that the spiraling bifurcation parameter is always zero at those points.

Słowa kluczowe

EN

piecewise smooth systems; sliding motion; co-dimension 2; discontinuity manifold

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 6
• Strony: 685–--702
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Difonzo Fabio V.

• Department of Computer Science Faculty of Electrical Engineering Karlovo nam. 13, 120 00 Nove Mesto Prague, Czech Republic Code Architects Srl Via Campania 1, 70029 Santeramo in Colle (BA), Italy

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)