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Fractional - order chaotic systems
2009 IEEE Conference on Emerging Technologies & Factory Automation, 2009Ivo Petrás, Dagmar Bednarova
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Fractional-Order Chaotic Systems
2011This contribution deals with the fractional-order chaotic systems. A survey of the chaotic systems, where total order of the system is less than 3 is presented. With using a fractional derivative a chaos can be observed in such system in spite of usual notation that chaos can occur in system with order 3 and more.
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Synchronization of the Chaotic Ikeda Systems of Fractional Order
2013The paper considers the problem of synchronization of two fractional Ikeda delay systems via master/slave configuration with linear coupling. Using numerical simulations effects of fractional order and the coupling rate on synchronization is investigated. Simulations are performed using Ninteger Fractional Control Toolbox for MatLab.
Mikolaj Buslowicz, Adam Makarewicz
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Fractional-Order Chaotic/Hyper-chaotic Oscillators
2021Esteban Tlelo-Cuautle +3 more
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Integer-Order Chaotic/Hyper-chaotic Oscillators
2021Esteban Tlelo-Cuautle +3 more
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A Note on Indefinite Chaotic Order
2012A selfadjoint involutive matrix J endows C^n with an indefinite inner product [¢; ¢] defined by [x,y]:= y*Jx, x,y \in C^n. For a pair of J-selfadjoint matrices A, B with positive eigenvalues, LogA \geq_J LogB is called the J-chaotic order or indefinite chaotic order.
Bebiano, N. +3 more
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