Lyapunov Exponents (Lecture Notes in Mathematics)

Science & Math

Ludwig, Arnold

Mathematics

Springer, Verlag

Since the predecessor to this volume (LNM 1186, Eds. L. Arnold, V. Wihstutz)appeared in 1986, significant progress has been made in the theory and applications of Lyapunov exponents - one of the key concepts of dynamical systems - and in particular, pronounced shifts towards nonlinear and infinite-dimensional systems and engineering applications are observable. This volume opens with an introductory survey article (Arnold/Crauel) followed by 26 original (fully refereed) research papers, some of which have in part survey character. From the L. Arnold, H. Random Dynamical Systems.- I.Ya. Lyapunov exponents and asymptotic behaviour of the product of random matrices.- Y. Analytic dependence of Lyapunov exponents on transition probabilities.- O. The upper Lyapunov exponent of Sl (2, R) and the problem of positivity.- Yu.D. Latushkin, A.M. Linear skew-product flows and semigroups of weighted composition operators.- P. Invariant measures for nonlinear stochastic differential equations.- Y. Large deviationsfor random expanding maps.- P. Generalisation du theoreme de Pesin pour l' -entropie.- S.T. Ariaratnam, W.-C. Lyapunov exponents in stochastic structural mechanics.- F. Colonius, W. Lyapunov exponents of control flows.

Lyapunov Exponents: Proceedings of a Conference Held in Oberwolfach, May 28-June 2, 1990 (Lecture Notes in Mathematics)

"People may choose to ignore their animal heritage by interpreting their behavior as divinely inspired, socially purposeful, or even self-serving, all of which they attribute to being human, but they masticate, fornicate, and procreate, much as chimps and apes do, so they should have little cause to get upset if they learn that they act like other primates when they politically agitate, debate, abdicate, placate, and administrate, too." King of the Mountain presents the startling findings of Arnold M. Ludwig's eighteen-year investigation into why people want to rule. The answer may seem obvious―power, privilege, and perks―but any adequate answer also needs to explain why so many rulers cling to power even when they are miserable, trust nobody, feel besieged, and face almost certain death. Ludwig's results suggest that leaders of nations tend to act remarkably like monkeys and apes in the way they come to power, govern, and rule. Profiling every ruler of a recognized country in the twentieth century―over 1,900 people in all―Ludwig establishes how rulers came to power, how they lost power, the dangers they faced, and the odds of their being assassinated, committing suicide, or dying a natural death. Then, concentrating on a smaller sub-set of 377 rulers for whom more extensive personal information was available, he compares six different kinds of leaders, examining their characteristics, their childhoods, and their mental stability or instability to identify the main predictors of later political success. Ludwig's penetrating observations, though presented in a lighthearted and entertaining way, offer important insight into why humans have engaged in war throughout recorded history as well as suggesting how they might live together in peace.

King of the Mountain: The Nature of Political Leadership

Health, Fitness & Dieting

Psychology & Counseling

University Press of Kentucky

This book contains the invited papers of the interdisciplinary workshop on "Stochastic Nonlinear Systems in Physics, Chemistry and Biology" held at the Center for Interdisciplinary Research (ZIF), University of Bielefeld, West Germany, October 5-11, 1980. The workshop brought some 25 physicists, chemists, and biologists - who deal with stochastic phenomena - and about an equal number of mathematicians - who are experts in the theory of stochastic processes - together. The Scientific Commitee consisted of L. Arnold (Bremen), A. Dress (Bielefeld), W. Horsthemke (Brussels), T. Kurtz (Madison), R. Lefever (Brussels), G. Nicolis (Brussels), and V. Wihstutz (Bremen). The main topics of the workshop were the transition from deterministic to stoch astic behavior, external noise and noise induced transitions, internal fluctuations, phase transitions, and irreversible thermodynamics, and on the mathematical side, approximation of stochastic processes, qualitative theory of stochastic systems, and space-time processes. The workshop was sponsored by ZIF, Bielefeld, and by the Universities of Bremen and Brussels. We would like to thank the staff of ZIF and H. Crauel and M. Ehrhardt (Bremen) for the perfect organization and their assistance. In addition, our thanks go to Professor H. Haken for having these Proceedings included in the Se ries in Synergetics. Bremen and Brussels L. Arnold and R. Lefever December 1980 v Contents Part I. Introduction: From Deterministic to Stochastic Behavior On the Foundations of Kinetic Theory By B. Misr~ and I. Prigogine (With 1 Figure) ............................. .

Stochastic Nonlinear Systems in Physics, Chemistry, and Biology: Proceedings of the Workshop Bielefeld, Fed. Rep. of Germany, October 5–11, 1980 (Springer Series in Synergetics)

Springer

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