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A pair of van der Pol oscillators coupled by fractional derivatives
Fractional calculus Fractional derivative Coupled oscillators Perturbation methods
2015/8/27
Weconsiderthestabilityofthein-phaseand out-of-phase modes of a pair of fractionally-coupled van der Pol oscillators:x ?? −? ? 1−x 2 ? x ? +x = ?γ D α (y −x) (1)y ?? −? ? 1ͨ...
A note on the definition of fractional derivatives applied in rheology
Fractional derivatives Rheology Riemann–Liouville definition Caputo definition
2012/2/28
It is known that there exist obivious differences between the two most commonly used definitions of fractional derivatives—Riemann–Liouville (R–L) definition and Caputo definition. The multiple defini...