Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1132.37324
Ge, Zheng-Ming; Ou, Chan-Yi
Chaos in a fractional order modified Duffing system. (English)
[J] Chaos Solitons Fractals 34, No. 2, 262-291 (2007). ISSN 0960-0779

Summary: The chaotic behaviors in a fractional order modified Duffing system are studied numerically by phase portraits, Poincaré maps and bifurcation diagrams. Linear transfer function approximations of the fractional integrator block are calculated for a set of fractional orders in (0, 1], based on frequency domain arguments. The total system orders found for chaos to exist in such systems are 1.8, 1.9, 2.0, and 2.1.

MSC 2000:: *37N05 Dynamical systems in classical and celestial mechanics
70K55 Transition to stochasticity (chaotic behavior)
26A33 Fractional derivatives and integrals (real functions)
37G99 Bifurcation theory
37D45 Strange attractors, chaotic dynamics

Keywords: phase portraits; Poincaré maps; bifurcation diagrams; linear transfer function approximations

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]