Chaotic vibration in fractional maps

DOI10.1177/1077546312473769zbMath1348.37029OpenAlexW2094263885MaRDI QIDQ2832105

Yutian Ma, Huang Xiao, Changpin Li

Publication date: 7 November 2016

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546312473769

zbMATH Keywords

chaoslargest Lyapunov exponentfractional logistic mapfractional mapfractional zaslavsky map

Mathematics Subject Classification ID

Topological dynamics (37B99) Fractional derivatives and integrals (26A33) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

On discrete tempered fractional calculus and its application, Riesz Riemann–Liouville difference on discrete domains, Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps, Discrete chaos in a novel two-dimensional fractional chaotic map, Generalized and inverse generalized synchronization of fractional-order discrete-time chaotic systems with non-identical dimensions, Control of Divergence in an Extended Invertible Logistic Map, Stability analysis of impulsive fractional difference equations, On the Correlation Dimension of Discrete Fractional Chaotic Systems, Fractional q-deformed chaotic maps: A weight function approach, Identification of chaos in fractional chaotic map

Cites Work

• Unnamed Item
• Determining Lyapunov exponents from a time series
• Hopf bifurcation for a class of fractional differential equations with delay
• Continuous limit of discrete systems with long-range interaction
• Fractional equations of kicked systems and discrete maps
• FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
• A NONSTANDARD FINITE DIFFERENCE SCHEME FOR TWO-SIDED SPACE-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
• On the bound of the Lyapunov exponents for the fractional differential systems