Nonlocal operators are chaotic

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URI: http://hdl.handle.net/10498/35361

DOI: 10.1063/5.0018408

ISSN: 1089-7682

ISSN: 1089-7682

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Author/s
Lizama, Carlos; Murillo Arcila, MarinaAuthority UCA; Peris, A.
Date
2020
Department
Matemáticas
Source
Chaos, 30, 103126 (2020)
Abstract
We characterize for the  first time the chaotic behavior of nonlocal operators that come from a broad class of time stepping schemes of approximation for fractional differential operators. For that purpose, we use criteria for chaos of Toeplitz operators in Lebesgue spaces of sequences. Surprisingly, this characterization is proved to be - in some cases - dependent of the fractional order of the operator and the step size of the scheme
Subjects
Nonlocal operators; Toeplitz operators; Chaos; time stepping schemes; transference principle
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