Die römerfeindlichen bewegungen im Orient während der letzten hälfte des dritten jahrhunderts nach Christus (254-274); ein beitrag zur geschichte des römischen reiches unter den kaisern ...

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[Review] Assessment: Problems, Developments and Statistical Issues; a Volume of Expert Contributions. Edited by H. Goldstein and T. Lewis. ISBN 0 471 95668 6. Wiley, Chichester, 1996. viii+274 pp., £45.

This is a book on general issues to do with assessment, not a statistics book, although it touches on statistical issues. Although it is intended for an international readership to include teachers, educationalists, policy makers and personnel managers and would be of interest to such groups it has been written mainly from the viewpoint of developed countries and is not obviously essential reading or an essential purchase for anyone. Short biographies of the 15 contributors are given at the start of the book and references from all the chapters are brought together at the end. The order of chapters appears to be arbitrary to some extent and there is little cross-referencing from one chapter to another.

On the zeros of the Abelian integrals for a class of Liénard systems

A planar polynomial differential system has a finite number of limit cycles. However, finding the upper bound of the number of limit cycles is an open problem for the general nonlinear dynamical systems. In this paper, we investigated a class of Liénard systems of the form x'=y, y'=f(x)+y g(x) with deg f=5 and deg g=4. We proved that the related elliptic integrals of the Liénard systems have at most three zeros including multiple zeros, which implies that the number of limit cycles bifurcated from the periodic orbits of the unperturbed system is less than or equal to 3.