Fractional standard map: Riemann-Liouville vs. Caputo

DOI10.1016/j.cnsns.2011.02.007zbMath1233.37023arXiv1305.1249OpenAlexW2008722842MaRDI QIDQ654301

Juan-Miguel Gracia

Publication date: 28 December 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1249

zbMATH Keywords

stabilityattractordiscrete mapperiodic trajectoryfractional dynamical systemmap with memory

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

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• Fractional standard map
• Fractional dynamics of coupled oscillators with long-range interaction
• Fractional equations of kicked systems and discrete maps
• Dynamics of the chain of forced oscillators with long-range interaction: From synchronization to chaos
• Differential equations with fractional derivative and universal map with memory

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