[1] NUSSE H E, YORKE J A. Basins of attraction [J]. Science, 1996, 271(5254): 1376-1380.
[2] MCDONALD S W, GREBOGI C, OTT E, et al. Fractal basin boundaries [J]. Physica D: Nonlinear Phenomena, 1985, 17(2): 125-153.
[3] AGUIRRE J, VIANA R L, SANJUÁN M A F. Fractal structures in nonlinear dynamics [J]. Reviews of Modern Physics, 2009, 81(1): 333.
[4] KENNEDY J, YORKE J A. Basins of wada [J]. Physica D: Nonlinear Phenomena, 1991, 51(1-3): 213-225.
[5] EPUREANU B I, GREENSIDE H S. Fractal basins of attraction associated with a damped Newton′s method [J]. SIAM review, 1998, 40(1): 102-109.
[6] SWEET D, OTT E, YORKE J A. Topology in chaotic scattering [J]. Nature, 1999, 399(6734): 315-316.
[7] AGUIRRE J, VALLEJO J C, SANJUÁN M A F. Wada basins and chaotic invariant sets in the Hénon-Heiles system [J]. Physical Review E, 2001, 64(6): 066208.
[8] NUSSE H E, YORKE J A. Wada basin boundaries and basin cells [J]. Physica D: Nonlinear Phenomena, 1996, 90(3): 242-261.
[9] ZHANG Y, LUO G. Wada bifurcations and partially Wada basin boundaries in a two-dimensional cubic map [J]. Physics Letters A, 2013, 377(18): 1274-1281.
[10] NUSSE H E, YORKE J A. Fractal basin boundaries generated by basin cells and the geometry of mixing chaotic flows [J]. Physical Review Letters, 2000, 84(4): 626.
[11] AGUIRRE J, SANJUÁN M A F. Unpredictable behavior in the duffing oscillator: wada basins [J]. Physica D: Nonlinear Phenomena, 2002, 171(1/2): 41-51.
[12] ZHANG Y, ZHANG H, GAO W. Multiple Wada basins with common boundaries in nonlinear driven oscillators [J]. Nonlinear Dynamics, 2015, 79(4): 2667-2674.
[13] ZHANG Y, XIE X, LUO G. Multiple nested basin boundaries in nonlinear driven oscillators [J]. Communications in Nonlinear Science and Numerical Simulation, 2017, 44: 220-228.
[14] VANDERMEER J. Wada basins and qualitative unpredictability in ecological models: a graphical interpretation [J]. Ecological modelling, 2004, 176(1/2): 65-74.
[15] ZHANG Y. Wada basin boundaries and generalized basin cells in a smooth and discontinuous oscillator [J]. Nonlinear Dynamics, 2021, 106(40): 2879-2891.
[16] WAGEMAKERS A, DAZA A, SANJUÁN M A F. How to detect Wada basins [J]. Discrete and Continuous Dynamical Systems B, 2021, 26(1): 717-739.
[17] WANG J, ZHANG Y. Infinite number of Wada basins in a megastable nonlinear oscillator [J]. Nonlinear Dynamics, 2023, 111(11): 10601-10615.
[18] PISARCHIK A N, HRAMOV A E. Multistability in Physical and Living Systems [M]. Berlin: Springer, 2022: 185-189.
[19] HENS C, DANA S K, FEUDEL U. Extreme multistability: attractor manipulation and robustness [J]. Chaos: an Interdisciplinary Journal of Nonlinear Science, 2015, 25(5): 053112.
[20] LOUODOP P, TCHITNGA R, FAGUNDES F F, et al. Extreme multistability in a Josephson-junction-based circuit [J]. Physical Review E, 2019, 99(4): 042208.
[21] NEWHOUSE S E. Diffeomorphisms with infinitely many sinks [J]. Topology, 1974, 13(1): 9-18.
[22] CHAWANYA T. Infinitely many attractors in game dynamics system [J]. Progress of Theoretical Physics, 1996, 95(3): 679-684.
[23] CHAWANYA T. Coexistence of infinitely many attractors in a simple flow [J]. Physica D: Nonlinear Phenomena, 1997, 109(3/4): 201-241.
[24] MUNI S S, MCLACHLAN R I, SIMPSON D. Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions [J]. Discrete and Continuous Dynamical Systems A, 2021, 41(8): 3629-3650
[25] MUNI S S, MCLACHLAN R I, SIMPSON D. Unfolding globally resonant homoclinic tangencies [J]. Discrete and Continuous Dynamical Systems, 2022, 42(8):4013-4030.
[26] WANG Z, ABDOLMOHAMMADI H R, ALSAADI F E, et al. A new oscillator with infinite coexisting asymmetric attractors [J]. Chaos, Solitons & Fractals, 2018, 110: 252-258.
[27] SINGH J P, KOLEY J, LOCHAN K, et al. Presence of megastability and infinitely many equilibria in a periodically and quasi-periodically excited single-link manipulator [J]. International Journal of Bifurcation and Chaos, 2021,31(2): 2130005.
[28] KARAMI M, RAMAKRISHNAN B, Hamarash II, et al. Investigation of the simplest megastable chaotic oscillator with spatially triangular wave damping [J]. International Journal of Bifurcation and Chaos, 2022,32(7): 2230016.
[29] RAJAGOPAL K, CIMEN M E, JAFARI S, et al. A family of circulant megastable chaotic oscillators, its application for the detection of a feeble signal and PID controller for time-delay systems by using chaotic SCA algorithm [J]. Chaos, Solitons & Fractals, 2021, 148: 110992.
[30] RAMAKRISHNAN B, NATIQ H, RAJAGOPAL K, et al. A novel megastable system: cloud, kite, and arrow-like attractors and their dynamics [J]. International Journal of Bifurcation and Chaos, 2022, 32(10): 2250152.
[31] Li R, DONG E, TONG J, et al. A new autonomous memristive megastable oscillator and its Hamiltonian-energy-dependent megastability [J]. Chaos: an Interdisciplinary Journal of Nonlinear Science, 2022,32(3): 039901.
[32] ZHANG K, VIJAYAKUMAR M, JAMAL S S, et al. A novel megastable oscillator with a strange structure of coexisting attractors: design, analysis, and FPGA implementation [J]. Complexity, 2021: 2594965.
[33] ALEXANDER P, EMIROĞLU S, KANAGARAJ S, et al. Infinite coexisting attractors in an autonomous hyperchaotic megastable oscillator and linear quadratic regulator-based control and synchronization [J]. The European Physical Journal B, 2023, 96(1): 12.
[34] LU H, RAJAGOPAL K, NAZARIMEHR F, et al. A new multi-scroll megastable oscillator based on the sign function [J]. International Journal of Bifurcation and Chaos, 2021, 31(8): 2150140.
[35] RAMAKRISHNAN B, FAGHANI Z, NATIQ H, et al. A megastable oscillator with two types of attractors [J]. Scientia Iranica, 2022, 32(10): 2250152.
[36] KARAMI M, RAMAMOORTHY R, ALI A, et al. Jagged-shape chaotic attractors of a megastable oscillator with spatially square-wave damping [J]. The European Physical Journal Special Topics, 2022, 231(11/12): 2445-2454.
