zbMATH — the first resource for mathematics

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
Full Text: DOI
[1] Matignon, D., Stability results for fractional differential equations with applications to control processing, (), 963
[2] E. Ahmed, A.M.A. El-Sayed, H.A.A. Elsaka, Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models, J. Math. Anal. Appl. (2005), in press
[3] Mishina, A.P.; Proskuryakov, I.V., Higher algebra, (1965), Nauka Moscow · Zbl 0132.25004
[4] Li, C.; Chen, G., Chaos solitons fractals, 22, 549, (2004)
[5] Li, C.; Chen, G., Physica A, 341, 55, (2004)
[6] Edelstein Keshet, L., Mathematical models in biology, SIAM classics applied mathematics, vol. 46, (2004) · Zbl 0674.92001
[7] Kaneko, K., Theory and applications of coupled map lattices, (1993), Wiley New York · Zbl 0777.00014
[8] Barnett, S., Matrices, (1990), Cambridge Univ. Press Cambridge
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.