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Puu System of Fractional Order and Its Chaos Suppression

Marius‐F. Danca

2020Symmetry15 citationsDOIOpen Access PDF

Abstract

In this paper, the fractional-order variant of Puu’s system is introduced, and, comparatively with its integer-order counterpart, some of its characteristics are presented. Next, an impulsive chaos control algorithm is applied to suppress the chaos. Because fractional-order continuous-time or discrete-time systems have not had non-constant periodic solutions, chaos suppression is considered under some numerical assumptions.

Topics & Concepts

CHAOS (operating system)Order (exchange)Integer (computer science)Constant (computer programming)Control of chaosControl theory (sociology)MathematicsApplied mathematicsFractional-order systemComputer scienceFractional calculusControl (management)Synchronization of chaosFinanceComputer securityArtificial intelligenceEconomicsProgramming languageChaos control and synchronizationFractional Differential Equations SolutionsQuantum chaos and dynamical systems
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