Stability and convergence in discrete convex monotone dynamical systems
نویسندگان
چکیده
منابع مشابه
stability and attraction domains of traffic equilibria in day-to-day dynamical system formulation
در این پژوهش مسئله واگذاری ترافیک را از دید سیستم های دینامیکی فرمول بندی می کنیم.فرض کرده ایم که همه فاکتورهای وابسته در طول زمان ثابت باشند و تعادل کاربر را از طریق فرایند منظم روزبه روز پیگیری کنیم.دینامیک ترافیک توسط یک نگاشت بازگشتی نشان داده می شود که تکامل سیستم در طول زمان را نشان می دهد.پایداری تعادل و دامنه جذب را توسط مطالعه ویژگی های توپولوژیکی تکامل سیستم تجزیه و تحلیل می کنیم.پاید...
Convergence and Stability in the Numerical Approximation of Dynamical Systems
1 Outline In this article we give an overview of the application of theories from dynami-cal systems to the analysis of numerical methods for initial-value problems. We start by describing the classical viewpoints of numerical analysis and of dynami-cal systems and then indicate how the two viewpoints can be merged to provide a framework for both the interpretation of data obtained from numeric...
متن کاملstudy of bifurcation and hyperbolicity in discrete dynamical systems
bifurcations leading to chaos have been investigated in a number of one dimensional dynamical systems by varying the parameters incorporated within the systems. the property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. in the process, the calculations for invariant set have also been carried out. a bro...
متن کاملStability of Dynamical Systems — Continuous , Discontinuous , and Discrete Systems
Ihave always believed that stability is the most important concept in systems and control theory. From the early days of my undergraduate studies, when I was first exposed to Lyapunov theory, to these days in which I devote a significant proportion of time to proving stability properties of dynamical systems and teaching stability to secondand third-year undergraduate students, I have never cea...
متن کاملStability and Shadowing in Convex Discrete-time Systems
In the realization of a dynamical system on a computer, all computational processes are of a discretization, where continuum state space is replaced by the finite set of machine arithmetic. When chaos is present, the discretized system often manifests collapsing effects to a fixed point or to short cycles. These phenomena. exhibit a statistical structure which can be modelled by random mappings...
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: Journal of Fixed Point Theory and Applications
سال: 2011
ISSN: 1661-7738,1661-7746
DOI: 10.1007/s11784-011-0052-1