On fractional differential systems of 3D Maxwell–Bloch type

DOI10.1142/S0219887814500285zbMath1294.26007WikidataQ115245397 ScholiaQ115245397MaRDI QIDQ5420249

Gheorghe Ivan

Publication date: 11 June 2014

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

fractional stabilitycontrolled fractional differential systemfractional 3D Maxwell-Bloch top system

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Control problems involving ordinary differential equations (34H05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Cites Work

• Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit
• On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Poisson structure of dynamical systems with three degrees of freedom

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