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A new modified hyperchaotic Lü system

Author

Listed:
  • Wang, Guangyi
  • Zhang, Xun
  • Zheng, Yan
  • Li, Yuxia

Abstract

This paper proposes a new four-dimensional continuous autonomous hyperchaotic system, which is constructed based on a modified Lü system by introducing a nonlinear state feedback controller. The detailed dynamical behaviors of this hyperchaotic system are further investigated, including equlibria and stability, various attractors, bifurcation analysis, and Lyapunov exponents spectrum. Moreover, a novel analog circuit diagram is then designed for verification of various attractors.

Suggested Citation

  • Wang, Guangyi & Zhang, Xun & Zheng, Yan & Li, Yuxia, 2006. "A new modified hyperchaotic Lü system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 260-272.
    • Handle: RePEc:eee:phsmap:v:371:y:2006:i:2:p:260-272
    DOI: 10.1016/j.physa.2006.03.048
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    References listed on IDEAS

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    1. Chen, Aimin & Lu, Junan & Lü, Jinhu & Yu, Simin, 2006. "Generating hyperchaotic Lü attractor via state feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 103-110.
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    Cited by:

    1. Wu, Wenjuan & Chen, Zengqiang & Yuan, Zhuzhi, 2009. "The evolution of a novel four-dimensional autonomous system: Among 3-torus, limit cycle, 2-torus, chaos and hyperchaos," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2340-2356.
    2. Yu, Yongguang & Li, Han-Xiong, 2009. "Application of the multistage homotopy-perturbation method to solve a class of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2330-2337.
    3. Zhou, Xiaobing & Wu, Yue & Li, Yi & Xue, Hongquan, 2009. "Adaptive control and synchronization of a new modified hyperchaotic Lü system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2477-2483.
    4. Singh, Jay Prakash & Roy, B.K., 2016. "The nature of Lyapunov exponents is (+, +, −, −). Is it a hyperchaotic system?," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 73-85.
    5. Wang, Huanqing & Ai, Yingdong, 2022. "Adaptive fixed-time control and synchronization for hyperchaotic Lü systems," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    6. Lai, Qiang & Norouzi, Benyamin & Liu, Feng, 2018. "Dynamic analysis, circuit realization, control design and image encryption application of an extended Lü system with coexisting attractors," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 230-245.

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