Cycles in asymptotically stable and chaotic fractional maps

نویسندگان

چکیده

The presence of the power-law memory is a significant feature many natural (biological, physical, etc.) and social systems. Continuous discrete fractional calculus instrument to describe behavior systems with memory. Existence chaotic solutions an intrinsic property nonlinear dynamics (regular fractional). Behavior can be very different from corresponding no Finding periodic points essential for understanding regular dynamics. Fractional do not have except fixed points. Instead, they asymptotically (sinks). There been reported results (formulae) which would allow calculations so far. In this paper, we derive equations that coordinates sinks.

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ژورنال

عنوان ژورنال: Nonlinear Dynamics

سال: 2021

ISSN: ['1573-269X', '0924-090X']

DOI: https://doi.org/10.1007/s11071-021-06379-2