Chaotic behavior of a class of discontinuous dynamical systems of\n fractional-order

2011/03/07 by Marius‐F. Danca, Danca, Marius-F.
Mathematics · Medicine · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1103.1283

openalex publication_date 2011/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper the chaos persistence in a class of discontinuous dynamical\nsystems of fractional-order is analyzed. To that end, the Initial Value Problem\nis first transformed, by using the Filippov regularization [1], into a\nset-valued problem of fractional-order, then by Cellina's approximate selection\ntheorem [2, 3], the problem is approximated into a single-valued\nfractional-order problem, which is numerically solved by using a numerical\nscheme proposed by Diethelm, Ford and Freed [4]. Two typical examples of\nsystems belonging to this class are analyzed and simulated.\n

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