Abstract: In this study, we propose a novel kind of limited Nussbaum gain method to solve the unknown control direction problem of chaotic systems. It is necessary to consider the unknown control direction situation when chaos synchronization is used for secure communication. Also it is very useful to design a small gain with a Nussbaum method if the Nussbaum gain method is used in a real engin...

For common Nussbaum gain method, there exists a disadvantage that the nonlinear gain of the controller is unbounded essentially, which will cause many weaknesses because of the high gain of the controller. A new concept, which is called bounded Nussbaum gain function, is firstly proposed in this paper. What is different from the common Nussbaum gain function is that it can reduce the gain of th...

In the paper some sufficient conditions are established in order that a continuous map have a fixed point. The results are related to those obtained by R. D. Nussbaum in [18], L. Górniewicz and D. RozpłochNowakowska in [12], S. Szufla in [21] and D. Bugajewski in [6]. The famous Schauder Fixed Point Theorem [20] has been generalized in various directions by using different methods. For referenc...

Education for women: a consideration of the philosophical issues in dialogue with Martha Nussbaum In some countries in the world, education for women is considered to be unnecessary, undesirable or in conflict with religious principles. Contrary to these points of view, Martha Nussbaum argues that education is important and good. It is one of the capabilities which women need to live a flourish...

 2007 Ruth Colker. Individuals and nonprofit institutions may reproduce and distribute copies of this Article in any format, at or below cost, for educational purposes, so long as each copy identifies the author, provides a citation to the Notre Dame Law Review, and includes this provision and copyright notice. * Heck Faust Memorial Chair in Constitutional Law, Michael E. Moritz College of Law...