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• W2748278404 abstract "In this work, we show how the composition of maps allows us to multiply, enlarge, and move stable domains in phase and parameter spaces of discrete nonlinear systems. Using Hénon maps with distinct parameters, we generate many identical copies of isoperiodic stable structures (ISSs) in the parameter space and attractors in phase space. The equivalence of the identical ISSs is checked by the largest Lyapunov exponent analysis, and the multiplied basins of attraction become riddled. Our proliferation procedure should be applicable to any two-dimensional nonlinear system." @default.
• W2748278404 created "2017-08-31" @default.
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• W2748278404 date "2017-08-01" @default.
• W2748278404 modified "2023-10-13" @default.
• W2748278404 title "Proliferation of stability in phase and parameter spaces of nonlinear systems" @default.
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• W2748278404 doi "https://doi.org/10.1063/1.4994329" @default.
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