Purpose: Defective parts in manufacturing is a serious issue faced by every manufacturer. Even after proper care in design, material selection and manufacturing of product, there exists a defective part. The purpose of this paper is to explore the quality of the manufacturing, and find the use...

The homoclinic bifurcation and transition from regular to asymptotic chaos in Duffing oscillator subjected to an amplitude modulated force is studied both analytically and numerically. Applying the Melnikov analytical method, the threshold condition for the occurrence of horseshoe chaos is...

We consider the overdamped version of two coupled anharmonic oscillators with the external periodic force fsinωt and Gaussian noise term η(t) added to one of the two state variables of the system. Linear stability analysis is carried out in the absence of external periodic force and noise....

We consider the conservative web map xn+1=yn, yn+1=−xn−Ksinyn+Γ where Γ is the external constant force. For a range of values of K with Γ=0 the diffusion is found to be anomalous (Zaslavsky et al., Chaos 7 (1997) 159) due to the presence of accelerator mode islands. We investigate the...

We consider two coupled Duffing oscillators with the coexistence of four attractors. Switching between the coexisting attractors by noises is investigated. Three types of noises such as Gaussian, amplitude dependent and dichotomous are used. We observed noise-induced extrinsic intermittency....

In this paper we study (i) the variation of local Lyapunov exponent, (ii) characterization of chaotic attractor at bifurcations using the variance σn(q) of fluctuations of coarse-grained local expansion rates of nearby orbits and (iii) characterization of weak and strong chaos in a sine-square...

Dynamic behaviours of the 2∞ attractor at the accumulation of period doubling in the logistic map are studied by the sum of the local expansion rates Sn(x1) of nearby orbits. The variance 〈[Sn(x)]2〉 and algebraic exponent ßn(x1) = Sn(x1)/ln(n) exhibits self-similar structures. The...

We consider random walks, starting at the site i = 1, on a one-dimensional lattice segment with an absorbing boundary at i = 0 and a reflecting boundary at i = L. We find that the typical value of first passage time (FPT) is independent of system size L, while the mean value diverges linearly...