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All issues Volume 30 / No 5 (October 2025) Wuhan Univ. J. Nat. Sci., 30 5 (2025) 497-507 References
Open Access
Issue
Wuhan Univ. J. Nat. Sci.
Volume 30, Number 5, October 2025
Page(s) 497 - 507
DOI https://doi.org/10.1051/wujns/2025305497
Published online 04 November 2025
  1. Wang X, Chen G R. Constructing a chaotic system with any number of equilibria[J]. Nonlinear Dynamics, 2013, 71(3): 429-436. [Google Scholar]
  2. Li C B, Sprott J C. Chaotic flows with a single nonquadratic term[J]. Physics Letters A, 2014, 378(3): 178-183. [Google Scholar]
  3. Wang L, Ding M. Dynamical analysis and passive control of a new 4D chaotic system with multiple attractors[J]. Modern Physics Letters B, 2018, 32(22): 1850260. [Google Scholar]
  4. Singh J P, Roy B K, Jafari S. New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria[J]. Chaos, Solitons & Fractals, 2018, 106: 243-257. [Google Scholar]
  5. Zhang M J, Zang H Y, Bai L Y. A new predefined-time sliding mode control scheme for synchronizing chaotic systems[J]. Chaos, Solitons & Fractals, 2022, 164: 112745. [Google Scholar]
  6. Wang E T, Yan S H, Wang Q Y. A new four-dimensional chaotic system with multistability and its predefined-time synchronization[J]. International Journal of Bifurcation and Chaos, 2022, 32(14): 2250207-16. [Google Scholar]
  7. Chang Y, Wang X L, Feng Z H, et al. Bifurcation analysis in a cancer growth model[J]. International Journal of Bifurcation and Chaos, 2020, 30(2): 2050024. [Google Scholar]
  8. Wei Z C, Zhu B, Yang J, et al. Bifurcation analysis of two disc dynamos with viscous friction and multiple time delays[J]. Applied Mathematics and Computation, 2019, 347: 265-281. [Google Scholar]
  9. Alidousti J, Eskandari Z, Avazzadeh Z. Generic and symmetric bifurcations analysis of a three dimensional economic model[J]. Chaos, Solitons & Fractals, 2020, 140: 110251. [Google Scholar]
  10. Elsonbaty A, Elsadany A A. Bifurcation analysis of chaotic geomagnetic field model[J]. Chaos, Solitons & Fractals, 2017, 103: 325-335. [Google Scholar]
  11. Chen G R, Moiola J L, Wang H O. Bifurcation control: Theories, methods, and applications[J]. International Journal of Bifurcation and Chaos, 2000, 10(3): 511-548. [Google Scholar]
  12. Zhu L H, Zhao H Y, Wang X M. Bifurcation analysis of a delay reaction-diffusion malware propagation model with feedback control[J]. Communications in Nonlinear Science and Numerical Simulation, 2015, 22(1): 747-768. [Google Scholar]
  13. Ray A, Ghosh D. Another new chaotic system: Bifurcation and chaos control[J]. International Journal of Bifurcation and Chaos, 2020, 30(11): 2050161. [Google Scholar]
  14. Ding D W, Wang C, Ding L H, et al. Hopf bifurcation control in a FAST TCP and RED model via multiple control schemes[J]. Journal of Control Science and Engineering, 2016, 2016: 8342652. [Google Scholar]
  15. Liu S, Ai H L, Pang Z F, et al. Hopf bifurcation control of nonlinear electromechanical coupling main drive system of rolling mill[J]. The European Physical Journal Plus, 2020, 135(4): 365. [Google Scholar]
  16. Jiang X W, Chen X Y, Chi M, et al. On Hopf bifurcation and control for a delay systems[J]. Applied Mathematics and Computation, 2020, 370(6): 124906. [Google Scholar]
  17. Yu Y, Zhang Z D, Han X J. Periodic or chaotic bursting dynamics via delayed pitchfork bifurcation in a slow-varying controlled system[J]. Communications in Nonlinear Science and Numerical Simulation, 2018, 56: 380-391. [Google Scholar]
  18. She J H, Yin X, Wu M, et al. Reconstruction of pitchfork bifurcation with exogenous disturbances based on equivalent-input-disturbance approach[J]. Nonlinear Dynamics, 2020, 102(4): 2699-2709. [Google Scholar]
  19. Lv Z Y, Xu H D, Bu Z H. Control of Neimark-Sacker bifurcation in a type of weak impulse excited centrifugal governor system[J]. International Journal of Non-Linear Mechanics, 2021, 128: 103624. [Google Scholar]
  20. Din Q. Neimark-Sacker bifurcation and chaos control in Hassell-Varley model[J]. Journal of Difference Equations and Applications, 2017, 23(4): 741-762. [Google Scholar]
  21. Din Q, Elsadany A A, Khalil H. Neimark-sacker bifurcation and chaos control in a fractional-order plant-herbivore model[J]. Discrete Dynamics in Nature and Society, 2017, 2017(1): 6312964. [Google Scholar]
  22. Sharbayta S S, Buonomo B, Onofrio A, et al. Period doubling induced by optimal control in a behavioral SIR epidemic model[J]. Chaos, Solitons & Fractals, 2022, 161: 112347. [Google Scholar]
  23. Tang J S, Ouyang K J. Controlling the period-doubling bifurcation of logistic model[J]. Acta Physica Sinica, 2006, 55(9): 4437-4441. [Google Scholar]
  24. Zhang Z Y, Rui X T, Yang R, et al. Control of period-doubling and chaos in varying compliance resonances for a ball bearing[J]. Journal of Applied Mechanics, 2020, 87(2): 021005. [Google Scholar]
  25. Xu H D, Zhang J W, Wu X. Control of Neimark-Sacker bifurcation for a three-degree-of-freedom vibro-impact system with clearances[J]. Mechanical Systems and Signal Processing, 2022, 177: 109188. [Google Scholar]
  26. 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]
  27. Chen D S, Wang H O, Chen G. Anti-control of Hopf bifurcations[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48(6): 661-672. [Google Scholar]
  28. Cheng Z S. Anti-control of Hopf bifurcation for Chen's system through washout filters[J]. Neurocomputing, 2010, 73(16): 3139-3146. [Google Scholar]
  29. Liu S H, Tang J S. Anti-control of Hopf bifurcation at zero equilibrium of 4D Qi system[J]. Acta Physica Sinica, 2008, 57(10): 6162. [Google Scholar]
  30. Chen Z, Yu P. Controlling and anti-controlling Hopf bifurcations in discrete maps using polynomial functions[J]. Chaos, Solitons & Fractals, 2005, 26(4): 1231-1248. [Google Scholar]
  31. Yang Y, Liao X F, Dong T. Anti-control of Hopf bifurcation in the Shimizu-Morioka system using an explicit criterion[J]. Nonlinear Dynamics, 2017, 89(2): 1453-1461. [Google Scholar]
  32. Wen G L, Xu H D, Lv Z Y, et al. Anti-controlling Hopf bifurcation in a type of centrifugal governor system[J]. Nonlinear Dynamics, 2015, 81(1): 811-822. [Google Scholar]
  33. Wei Z C, Yang Q G. Anti-control of Hopf bifurcation in the new chaotic system with two stable node-foci[J]. Applied Mathematics and Computation, 2010, 217(1): 422-429. [Google Scholar]
  34. Lü Z S, Duan L X. Anti-control of Hopf bifurcation in the chaotic Liu system with symbolic computation[J]. Chinese Physics Letters, 2009, 26(5): 37-40. [Google Scholar]
  35. Zhu E X, Xu M, Pi D C. Anti-control of Hopf bifurcation for high-dimensional chaotic system with coexisting attractors[J]. Nonlinear Dynamics, 2022, 110(2): 1867-1877. [Google Scholar]
  36. Zhang J, Yang Y, Jing Z. An algorithm criterion for Hopf bifurcation and its applications in vehicle dynamics[J]. Acta Mech Sin, 2000, 32(5): 596-605. [Google Scholar]

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