104
Views
1
CrossRef citations to date
0
Altmetric
Articles

Controlling chaotic transients in the Hénon and the Lozi map with the safety function

& ORCID Icon
Pages 876-884 | Received 09 Dec 2021, Accepted 12 Feb 2022, Published online: 22 Apr 2022

References

  • R. Capeáns, J. Sabuco, and M.A.F. Sanjuán, When less is more: partial control to avoid extinction of predators in an ecological model, Ecol. Complex. 19 (2014), pp. 1–8.
  • R. Capeáns, J. Sabuco, and M.A.F. Sanjuán, Parametric partial control of chaotic systems, Nonlinear Dyn. 2 (2016), pp. 869–876.
  • R. Capeáns, J. Sabuco, and M.A.F. Sanjuán, A new approach of the partial control method in chaotic systems, Nonlinear Dyn. 98 (2019), pp. 873–887.
  • R. Capeáns, J. Sabuco, M.A.F. Sanjuán, and J.A. Yorke, Partially controlling transient chaos in the Lorenz equations, Phil. Trans. R. Soc. A 375 (2016), p. 20160211.
  • R. Capeáns and M.A.F. Sanjuán, Beyond partial control: controlling chaotic transients with the safety function, Nonlinear Dyn. 107 (2022), pp. 2903–2910.
  • M. Dhamala and Y.C. Lai, Controlling transient chaos in deterministic flows with applications to electrical power systems and ecology, Phys. Rev. E. 59 (1999), pp. 1646–1655.
  • V. In, M.L. Spano, J.D. Neff, W.L. Ditto, C.S. Daw, K.D. Edwards, and K. Nguyen, Maintenance of chaos in a computational model of thermal pulse combustor, Chaos. 7 (1997), pp. 605–613.
  • Y.C. Lai and T. Tél, Transient Chaos: Complex Dynamics on Finite Time Scales, Cambridge University Press, Cambridge, 2011.
  • E. Ott, Chaos in Dynamical Systems, 2nd ed., Cambridge University Press, Cambridge, 2012.
  • J. Sabuco, M.A.F. Sanjuán, and J.A. Yorke, Dynamics of partial control, Chaos. 22 (2012), pp. 047507.
  • J. Sabuco, S. Zambrano, M.A.F. Sanjuán, and J.A. Yorke, Finding safety in partially controllable chaotic systems, Commun. Nonlinear Sci. Numer. Simul. 17 (2012), pp. 4274–4280.
  • I.B. Schwartz and I. Triandaf, Sustainning chaos by using basin boundary saddles, Phys. Rev. Lett. 77 (1996), pp. 4740–4743.
  • W. Yang, M. Ding, A.J. Mandell, and E. Ott, Preserving chaos: control strategies to preserve complex dynamics with potential relevance to biological disorders, Phys. Rev. E. 51 (1995), pp. 102–110.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.