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Corrigendum to “The saddle-straddle method to test for Wada basins”. (English) Zbl 07265400
Corrigendum to the authors’ paper [ibid. 84, Article ID 105167, 8 p. (2020; Zbl 1452.37030)].
MSC:
65 Numerical analysis
37 Dynamical systems and ergodic theory
Software:
Dynamics
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[1] Yoneyama, K., Theory of continuous sets of points, Tokohu Math J, 11, 43-158 (1917)
[2] Hocking, J. G.; Young, G. S., Topology (1988), Dover: Dover New York · Zbl 0718.55001
[3] Kuratowski, C., Sur les coupures irréductibles du plan, Fundam Math, 6, 130-145 (1924) · JFM 50.0368.08
[4] Sanjuán, M. A.F.; Kennedy, J.; Ott, E.; Yorke, J. A., Indecomposable continua and the characterization of strange sets in nonlinear dynamics, Phys Rev Lett, 78, 1892-1895 (1997)
[5] Kennedy, J.; Yorke, J. A., Basins of wada, Phys D, 51, 213-225 (1991) · Zbl 0746.58054
[6] Nusse, H. E.; Yorke, J. A., Wada basin boundaries and basin cells, Phys D, 90, 242-261 (1996) · Zbl 0886.58072
[7] Nusse, H. E.; Ott, E.; Yorke, J. A., Saddle-node bifurcations on fractal basin boundaries, Phys Rev Lett, 75, 2482-2485 (1995)
[8] Nusse, H. E.; Yorke, J. A., Fractal basin boundaries generated by basin cells and the geometry of mixing chaotic flows, Phys Rev Lett, 84, 626-629 (2000)
[9] Poon, L.; Campos, J.; Ott, E.; Grebogi, C., Wada basin boundaries in chaotic scattering, Int J Bifurcat Chaos, 6, 251-265 (1996) · Zbl 0870.58069
[10] Aguirre, J.; Vallejo, J. C.; Sanjuán, M. A.F., Wada basins and chaotic invariant sets in the Hénon-Heiles system, Phys Rev E, 64, 066208 (2001)
[11] Toroczkai, Z.; Károlyi, G.; Péntek, A.; Tél, T.; Grebogi, C.; Yorke, J. A., Wada dye boundaries in open hydrodynamical flows, Phys A, 239, 235-243 (1997)
[12] Daza, A.; Wagemakers, A.; Sanjuán, M. A.F., Wada property in systems with delay, Commun Nonlinear Sci Numer Simul, 43, 220-226 (2017)
[13] Daza, A.; Wagemakers, A.; Sanjuán, M. A.F.; Yorke, J. A., Testing for basins of wada, Sci Rep, 5, 16579 (2015)
[14] Daza, A.; Wagemakers, A.; Sanjuán, M. A.F., Ascertaining when a basin is wada: the merging method, Sci Rep, 8, 9954 (2018)
[15] Zhang, Y.; Luo, G., Wada bifurcations and partially wada basin boundaries in a two-dimensional cubic map, Phys Lett A, 377, 1274-1281 (2013) · Zbl 1290.37027
[16] Grebogi, C.; Ott, E.; Yorke, J. A.; Nusse, H. E., Fractal basin boundaries with unique dimension, Ann N Y Acad Sci, 497, 117-126 (1987)
[17] Grebogi, C.; Nusse, H. E.; Ott, E.; Yorke, J. A., Basic sets: Sets that determine the dimension of basin boundaries, (Alexander, J. C., Dynamical Systems Lecture Notes in Mathematical, vol. 1342 (1988), Springer: Springer Berlin), 220-250 · Zbl 0674.58031
[18] Battelino, P. M.; Grebogi, C.; Ott, E.; Yorke, J. A.; Yorke, E. D., Multiple coexisting attractors, basin boundaries and basic sets, Phys D, 32, 296-305 (1988) · Zbl 0668.58035
[19] Nusse, H. E.; Yorke, J. A., Dynamics: Numerical Explorations (2012), Springer: Springer New York
[20] Edgar, G., Measure, Topology, and Fractal Geometry (2007), Springer: Springer New York
[21] Friedman, J. H.; Bentley, J. L.; Finkel, R. A., An algorithm for finding best matches in logarithmic expected time, ACM Trans Math Softw, 3, 20-26 (1977)
[22] Aguirre, J.; Viana, R. L.; Sanjuán, M. A.F., Fractal structures in nonlinear dynamics, Rev Mod Phys, 81, 333 (2009)
[23] Daza, A.; Shipley, J. O.; Dolan, S. R.; Sanjuán, M. A.F., Wada structures in a binary black hole system, Phys Rev D, 98, 84050 (2018)
[24] Kantz, H., Quantifying the closeness of fractal measures, Phys Rev E, 49, 5091-5097 (1994)
[25] Press, W. H.; Teukolsky, S. A.; Vetterling, W. T.; Flannery, B. P., Numerical Recipes: The Art of Scientific Computing (2007), Cambridge University Press: Cambridge University Press Cambridge, UK · Zbl 1132.65001
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