On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems. (English) Zbl 1142.30303

Summary: Some Routh-Hurwitz stability conditions are generalized to the fractional order case. The results agree with those obtained numerically for Lorenz, Rössler, Chua and Chen fractional order equations. The case of coupled map lattice is briefly discussed.


30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
34A99 General theory for ordinary differential equations
37K60 Lattice dynamics; integrable lattice equations
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