Abstract:
In this paper we present a possible classification of the elements of a class of dynamical systems, whose underlying mathematical models contain non-smooth components. For this purpose a sufficient condition is introduced. To illustrate and motivate this classification, three nontrivial and realistic examples are considered.
Citation:
M.-F. Danca, “On a Class of Non-Smooth Dynamical Systems: a Sufficient Condition for Smooth Versus Non-Smooth Solutions”, Regul. Chaotic Dyn., 12:1 (2007), 1–11
\Bibitem{Dan07}
\by M.-F.~Danca
\paper On a Class of Non-Smooth Dynamical Systems: a Sufficient Condition for Smooth Versus Non-Smooth Solutions
\jour Regul. Chaotic Dyn.
\yr 2007
\vol 12
\issue 1
\pages 1--11
\mathnet{http://mi.mathnet.ru/rcd607}
\crossref{https://doi.org/10.1134/S1560354707010017}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2350292}
\zmath{https://zbmath.org/?q=an:1229.37014}
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https://www.mathnet.ru/eng/rcd607
https://www.mathnet.ru/eng/rcd/v12/i1/p1
This publication is cited in the following 5 articles:
Wang Y., Wang L., Ni Q., Yang M., Liu D., Qin T., “Non-Smooth Dynamics of Articulated Pipe Conveying Fluid Subjected to a One-Sided Rigid Stop”, Appl. Math. Model., 89:1 (2021), 802–818
Marius-F. Danca, “Continuous Approximations of a Class of Piecewise Continuous Systems”, Int. J. Bifurcation Chaos, 25:11 (2015), 1550146
Marius-F. Danca, Roberto Garrappa, “Suppressing chaos in discontinuous systems of fractional order by active control”, Applied Mathematics and Computation, 257 (2015), 89
Marius-F. Danca, Miguel Romera, Gerardo Pastor, Fausto Montoya, “Finding attractors of continuous-time systems by parameter switching”, Nonlinear Dyn, 67:4 (2012), 2317
Marius-F. Danca, “On the uniqueness of solutions to a class of discontinuous dynamical systems”, Nonlinear Analysis: Real World Applications, 11:3 (2010), 1402
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