E-Book Overview
The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. · Presents comprehensive theory and methodology of stability analysis · Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation · Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers
E-Book Content
Stability of Dynamical Systems
MONOGRAPH SERIES ON NONLINEAR SCIENCE AND COMPLEXITY SERIES EDITORS Albert C.J. Luo Southern Illinois University, Edwardsville, USA
George Zaslavsky New York University, New York, USA
ADVISORY BOARD Valentin Afraimovich, San Luis Potosi University, San Luis Potosi, Mexico Maurice Courbage, Université Paris 7, Paris, France Ben-Jacob Eshel, School of Physics and Astronomy, Tel Aviv University, Tel Aviv, Israel Bernold Fiedler, Freie Universität Berlin, Berlin, Germany James A. Glazier, Indiana University, Bloomington, USA Nail Ibragimov, IHN, Blekinge Institute of Technology, Karlskrona, Sweden Anatoly Neishtadt, Space Research Institute Russian Academy of Sciences, Moscow, Russia Leonid Shilnikov, Research Institute for Applied Mathematics & Cybernetics, Nizhny Novgorod, Russia Michael Shlesinger, Office of Naval Research, Arlingt