منابع مشابه
Bifurcation theory and localization phenomena
The principles of strain localization analysis as applied to geomaterials are presented. Emphasis is given to the effects of fluid and temperature in the occurrence and development of instabilities. RÉSUMÉ. Dans cet article, on présente les principes de l’analyse de localisation des déformations dans les géomatériaux. En particulier, on met l’accent sur les effets du fluide et de la température...
متن کاملBifurcation phenomena in non-smooth dynamical systems
The aim of the paper is to give an overview of bifurcation phenomena which are typical for non-smooth dynamical systems. A small number of well-chosen examples of various kinds of non-smooth systems will be presented, followed by a discussion of the bifurcation phenomena in hand and a brief introduction to the mathematical tools which have been developed to study these phenomena. The bifurcatio...
متن کاملBifurcation phenomena in two-dimensional piecewise smooth discontinuous maps.
In recent years the theory of border collision bifurcations has been developed for piecewise smooth maps that are continuous across the border and has been successfully applied to explain nonsmooth bifurcation phenomena in physical systems. However, there exist a large number of switching dynamical systems that have been found to yield two-dimensional piecewise smooth maps that are discontinuou...
متن کاملStability, instability, and bifurcation phenomena in non-autonomous differential equations
There is a vast body of literature devoted to the study of bifurcation phenomena in autonomous systems of differential equations. However, there is currently no well-developed theory that treats similar questions for the non-autonomous case. Inspired in part by the theory of pullback attractors, we discuss generalizations of various autonomous concepts of stability, instability, and invariance....
متن کاملBifurcation Processes and Chaotic Phenomena in Cellular Neural Networks
It is shown that first-order autonomous space-invariant cellular neural networks (CNNs) may exhibit a complex dynamic behavior (i.e. equilibrium point and limit cycle bifurcation, strange and chaotic attractors). The most significant limit cycle bifurcation processes, leading to chaos, are investigated through the computation of the corresponding Floquet’s multipliers and Lyapunov exponents. It...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
سال: 2003
ISSN: 0387-5024,1884-8354
DOI: 10.1299/kikaic.69.1203