Callococcithrips gen.n. is erected for the species Rhynchothrips fuscipennis Moulton that lives only among the protective waxy secretions of an eriococcid on Kunzea in south-eastern Australia. Larvae and adults of this thrips move rapidly amongst the sticky wax strands, and their maxillary stylets are unusually long and convoluted. Circumstantial evidence suggests that the thrips is predatory o...

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...

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–...

A numerical method for nonlinear fractional-order differential equations with constant or time-varying delay is devised. The order here is an arbitrary positive real number, and the differential operator is with the Caputo definition. The general AdamsBashforth-Moulton method combined with the linear interpolation method is employed to approximate the delayed fractionalorder differential equati...

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...