TY  - JOUR
ID  - Difonzo2020
LB  - Difonzo2020
AU  - Difonzo, Fabio V.
TI  - A note on attractivity for the intersection of two discontinuity manifolds
ST  - A note on attractivity for the intersection of two discontinuity manifolds
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2020
VL  - 40
IS  - 6
SP  - 685
EP  - 702
DO  - https://doi.org/10.7494/OpMath.2020.40.6.685
UR  - https://doi.org/10.7494/OpMath.2020.40.6.685
AB  - 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.
KW  - piecewise smooth systems
KW  - sliding motion
KW  - co-dimension 2
KW  - discontinuity manifold
KW  - attractivity
SN  - 1232-9274
ER  -