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- W2187232199 abstract "This paper investigates both analytically and numerically the effect of narrow-band frequency modulated (NBFM) force on horseshoe chaos in double-well Duffing-vander Pol (DVP) oscillator. Using Melnikov method an analytical threshold condition for the prediction of onset of horseshoe chaos is obtained. Melnikov threshold curves are drawn in different external parameters space. Parametric regimes where suppression of horseshoe chaos occurs are predicted. Analytical predictions are demonstrated through direct numerical simulations. Starting from asymptotic chaos we show the recovery of periodic motions for a range of values of amplitude and frequency of the external force. Interestingly suppression of chaos is found in the parametric regimes where the Melnikov function does not change sign. Various routes to chaos and crisis are found to occur due to the NBFM force. Numerical investigations including computation of stable and unstable manifolds of saddle, Maximal Lyapunov exponent, Poincare map and bifurcation diagram are used to detect horseshoe chaos." @default.
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- W2187232199 date "2013-01-01" @default.
- W2187232199 modified "2023-09-24" @default.
- W2187232199 title "Effect of Narrow-Band Frequency Modulated Force on Horseshoe Chaos in Double-Well Duffing-vander Pol Oscillator" @default.
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