Open Access
Issue
Wuhan Univ. J. Nat. Sci.
Volume 30, Number 3, June 2025
Page(s) 276 - 282
DOI https://doi.org/10.1051/wujns/2025303276
Published online 16 July 2025
  1. Harmon Ray W, Villa C M. Nonlinear dynamics found in polymerization processes: A review[J]. Chemical Engineering Science, 2000, 55(2): 275-290. [Google Scholar]
  2. Wu X G, Kapral R. Internal fluctuations and deterministic chemical chaos[J]. Physical Review Letters, 1993, 70(13): 1940-1943. [Google Scholar]
  3. Huang K, Cheng Z B, Xiong Y S, et al. Bifurcation and chaos analysis of a spur gear pair system with fractal gear backlash[J]. Chaos, Solitons & Fractals, 2021, 142: 110387. [Google Scholar]
  4. Liu S X, Hu A J, Zhang Y, et al. Nonlinear dynamics analysis of a multistage planetary gear transmission system[J]. International Journal of Bifurcation and Chaos, 2022, 32(7): 2250096. [Google Scholar]
  5. Sen M, Srinivasu P D N, Banerjee M. Global dynamics of an additional food provided predator-prey system with constant harvest in predators[J]. Applied Mathematics and Computation, 2015, 250: 193-211. [Google Scholar]
  6. Zhao H Y, Huang X X, Zhang X B. Hopf bifurcation and harvesting control of a bioeconomic plankton model with delay and diffusion terms[J]. Physica A: Statistical Mechanics and Its Applications, 2015, 421: 300-315. [Google Scholar]
  7. Lu J N, Wu X Q, Lü J H, et al. A new discrete chaotic system with rational fraction and its dynamical behaviors[J]. Chaos, Solitons & Fractals, 2004, 22(2): 311-319. [Google Scholar]
  8. Nategh M, Baleanu D, Taghizadeh E, et al. Almost local stability in discrete delayed chaotic systems[J]. Nonlinear Dynamics, 2017, 89(4): 2393-2402. [Google Scholar]
  9. Jiang H B, Li T, Zeng X L, et al. Bifurcation analysis of the logistic map via two periodic impulsive forces[J]. Chinese Physics B, 2014, 23(1): 116-122(Ch). [Google Scholar]
  10. Chen B S, Chen J J. Bifurcation and chaotic behavior of a discrete singular biological economic system[J]. Applied Mathematics and Computation, 2012, 219(5): 2371-2386. [Google Scholar]
  11. Sokolov S, Zhilenkov A, Chernyi S, et al. Dynamics models of synchronized piecewise linear discrete chaotic systems of high order[J]. Symmetry, 2019, 11(2): 236. [Google Scholar]
  12. Dai S Q, Sun K H, Ai W, et al. Novel discrete chaotic system via fractal transformation and its DSP implementation[J]. Modern Physics Letters B, 2020, 34(Supp01): 2050429. [Google Scholar]
  13. Wang C F, Fan C L, Ding Q. Constructing discrete chaotic systems with positive Lyapunov exponents[J]. International Journal of Bifurcation and Chaos, 2018, 28(7): 1850084. [Google Scholar]
  14. Yong C, Xin L. Function projective synchronization in discrete-time chaotic system with uncertain parameters[J]. Communications in Theoretical Physics, 2009, 51(3): 470-474. [Google Scholar]
  15. Zhang L P, Jiang H B, Bi Q S. Reliable impulsive lag synchronization for a class of nonlinear discrete chaotic systems[J]. Nonlinear Dynamics, 2010, 59(4): 529-534. [Google Scholar]
  16. Ju H P. A new approach to synchronization of discrete-time chaotic systems[J]. Journal of the Physical Society of Japan, 2007, 76(9): 093002. [Google Scholar]
  17. Zhang L, Han Q. Symmetry breaking bifurcation analysis and control of a cubic discrete chaotic system[J]. The European Physical Journal Special Topics, 2022, 231(11): 2125-2131. [Google Scholar]
  18. Zhang L, Tang J S, Ouyang K J. Anti-control of period doubling bifurcation for a variable substitution model of Logistic map[J]. Optik, 2017, 130: 1327-1332. [Google Scholar]
  19. Din Q. Complexity and chaos control in a discrete-time prey-predator model[J]. Communications in Nonlinear Science and Numerical Simulation, 2017, 49: 113-134. [Google Scholar]
  20. Tang L, Gao Y, Liu Y J. Adaptive near optimal neural control for a class of discrete-time chaotic system[J]. Neural Computing and Applications, 2014, 25(5): 1111-1117. [Google Scholar]
  21. Ouannas A. A new generalized-type of synchronization for discrete-time chaotic dynamical systems[J]. Journal of Computational and Nonlinear Dynamics, 2015, 10(6): 061019. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.