Chaos in the fractional-order Lorenz system
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Summary
It is found that chaos exists in the fractional-order Lorenz system of order less than 3.97, and the lowest order found to have chaos in this system is 2.97.
- Type
- article
- Published
- 2009-06-17
- Cited by
- 72
- References
- 31
- OpenAlex
- https://openalex.org/W2044867168
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:31249016
Keywords
Lorenz system, CHAOS (operating system), Fractional calculus, Order (exchange), Chaotic
References
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- Differential Equations, Dynamical Systems, and Linear Algebra
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- Higher Transcendental Functions
- Linear approximation of transfer function with a pole of fractional power
- Chaotic dynamics of the fractional Lorenz system.
- An analog simulation of non-integer order transfer functions for analysis of electrode processes
- Fractional-order Wien-bridge oscillator
- Chaos in the fractional order Chen system and its control
- Finite Amplitude Free Convection as an Initial Value Problem—I
- YET ANOTHER CHAOTIC ATTRACTOR
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- Adaptive function projective combination synchronization of three different fractional-order chaotic systems
- Generalized synchronization of the fractional-order chaos in weighted complex dynamical networks with nonidentical nodes
- Fractional Differential Equations 2011
- Parameter identification and synchronization of fractional-order chaotic systems
- Chaotic behavior of a class of discontinuous dynamical systems of fractional-order
- Synchronization of incommensurate non-identical fractional order chaotic systems using active control
- Projective synchronization of two fractional-order memristive systems via an active controller
- Synchronization of fractional order chaotic systems using active control method
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- Synchronization of Different Fractional Order Time-Delay Chaotic Systems Using Active Control
- Identification time-delayed fractional order chaos with functional extrema model via differential evolution
- Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active Control
- Projective synchronisation of fractional-order memristive systems with different structures based on active control method
- Inversion mechanism with functional extrema model for identification incommensurate and hyper fractional chaos via differential evolution
- An adaptive method to parameter identification and synchronization of fractional-order chaotic systems with parameter uncertainty
- Numerical Solution of Fractional Differential Equations by Using the Jacobi Polynomials
- Self-evolution of hyper fractional order chaos driven by a novel approach through genetic programming
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