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We study the stability of linear fractional order maps.
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E. Ott, Chaos in dynamical systems · 2002
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F. M. Atici and P. W. Eloe, “A transform method in discrete fractional calculus,” International Journal of Difference Equations
2007
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P. M. Gade, “Synchronization of oscillators with random nonlocal connectivity,” Physical Review E
2007
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F. M. Atıcı and S. Şengül, “Modeling with fractional difference equations,” Journal of Mathematical Analysis and Applications
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M. T. Holm, “The theory of discrete fractional calculus: Development and application,” 2011
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J. J. Mohan and G. Deekshitulu, “Fractional order difference equations,” International Journal of Differential Equations
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G.-C. Wu and D. Baleanu, “Chaos synchronization of the discrete fractional logistic map,” Signal processing
2014
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Y. Liu, “Discrete chaos in fractional hiénon maps,” International Journal of Nonlinear Science
2014
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A. Deshpande and V. Daftardar-Gejji, “Chaos in discrete fractional difference equations,” Pramana
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CRC press, 2018
S. H. Strogatz, Nonlinear dynamics and chaos with student solutions manual: With applications to physics, biology, chemistry, and engineering · 2018
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S. S. Pakhare, V. Daftardar-Gejji, D. S. Badwaik, A. Deshpande, and P. M. Gade, “Emergence of order in dynamical phases in coupled fractional gauss map,” Chaos, Solitons & Fractals
2020
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