Nonlinear Phenomena in Complex Systems, 2018, Vol.21, No.2, pp.188

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2018, Vol.21, No.2, pp.188 - 193

Antisymmetric Wada Basins Prime Example: Unstable Antisaddles Case
Maria V. Makarova, Ivan A. Kovalew, and Dmitry W. Serow

Prime example of a dynamic system with two antisymmetric invariant Wada basins has been constructed and one has been illustrated in connotation of the thinking in PostScript. The dynamic system has either saddle and two unstable antisaddle fixed points or inverse saddle and two unstable antisaddle two-periodic points. Onset ofWada basins from the cycles has been considered.

Key words: forced damped physical pendulum, indecomposable continuum (atom), lakes of Wada (Wada basins), Birchoff’s curve

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