Regenerative chatter is the most important factor affecting stability of milling process. It core for suppressing and improving production efficiency to accurately efficiently identify stable region chatter. Therefore, according theory predictor-corrector, three predictor–corrector methods (PCM) are, respectively, proposed by applying fourth-order Adams-Bashforth-Moulton formula, Simpson Hammin...

In the literature, various types of parallel methods for integrating nonsti initial-value problems for rst-order ordinary di erential equation have been proposed. The greater part of them are based on an implicit multistage method in which the implicit relations are solved by the predictor–corrector (or xed point iteration) method. In the predictor–corrector approach the computation of the comp...

Adams-Bashforth-Moulton algorithm has been extended to solve delay differential equations of fractional order. Numerical illustrations are presented to demonstrate utility of the method. Chaotic behaviour is observed in one dimensional delayed systems of fractional order. We further find the smallest fractional order for the chaotic behaviour. It is also observed that the phase portraits get st...

In the Present manuscript we have investigate the Adaptive projective synchronization between different fractional order chaotic systemsusing modified adaptive control method with unknown parameters. The modified adaptive control method is very affective and more convenient in compression to the existing method for the synchronization of the fractional order chaotic systems. The chaotic attract...

A method for variable-rate data sampling is proposed for the purpose of low-power data acquisition in a small footprint microsystem. The procedure enables energy saving by utilizing dynamic power management techniques and is based on the Adams–Bashforth and Adams–Moulton multistep predictorcorrector methods for ordinary differential equations. Newton– Gregory backward difference interpolation f...

In this article, the active control method is used for hybrid synchronization between two fractional order hyperchaotic systems, Chen hyperchaotic system taken as the master system and the other fractional order hyperchaoticLu system taken as slave system separately. The fractional derivative is described in Caputo sense. Numerical simulation results which are carried out using Adams–Bashforth–...