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- W3120417353 abstract "Estimation of the degree of stability and the bounds of solutions to nonautonomous nonlinear systems present major concerns in numerous applied problems. Yet, current techniques frequently yield overconservative conditions which are unable to effectively gage these characteristics in time-varying nonlinear systems. This paper develops a novel methodology providing successive approximations to solutions that are stemmed from the trapping/stability regions of these systems and estimate the errors of such approximations. In turn, this leads to successive approximations of both the bilateral bounds of solutions and the boundaries of trapping/stability regions of the underlying systems. Along these lines we formulate enhanced stability/boundedness criteria and contrast our inferences with inclusive simulations which reveal dependence of the trapping/stability regions upon the structure of time-dependent components and initial time moment." @default.
- W3120417353 created "2021-01-18" @default.
- W3120417353 creator A5069238370 @default.
- W3120417353 date "2021-01-01" @default.
- W3120417353 modified "2023-09-27" @default.
- W3120417353 title "Successive estimations of bilateral bounds and trapping/stability regions of solution to some nonlinear nonautonomous systems" @default.
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- W3120417353 doi "https://doi.org/10.1007/s11071-020-06033-3" @default.
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