منابع مشابه
Chaos for Discrete Dynamical System
Since Li and Yorke first gave the definition of chaos by using strict mathematical language in 1975 [1], the research on chaos has greatly influenced modern science, not just natural sciences but also several social sciences, such as economics, sociology, and philosophy. The theory of chaos convinced scientists that a simple definite system can produce complicated features and a complex system ...
متن کاملCONTROL OF CHAOS IN A DRIVEN NON LINEAR DYNAMICAL SYSTEM
We present a numerical study of a one-dimensional version of the Burridge-Knopoff model [16] of N-site chain of spring-blocks with stick-slip dynamics. Our numerical analysis and computer simulations lead to a set of different results corresponding to different boundary conditions. It is shown that we can convert a chaotic behaviour system to a highly ordered and periodic behaviour by making on...
متن کاملA New Chaos Synchronization Criterion for Discrete Dynamical Systems
In this paper, we propose a simple method for chaos synchronization in discrete-time, based on new criterion for stability. This criterion implying the Lyapunov stabilization criterion, and is applicable to some typical chaotic systems. Keywords: Chaos synchronization, dynamical systems, new criterion, discrete-time, Lyapunov stability 1 Introduction During the last decade, synchronization of c...
متن کاملcontrol of chaos in a driven non linear dynamical system
we present a numerical study of a one-dimensional version of the burridge-knopoff model [16] of n-site chain of spring-blocks with stick-slip dynamics. our numerical analysis and computer simulations lead to a set of different results corresponding to different boundary conditions. it is shown that we can convert a chaotic behaviour system to a highly ordered and periodic behaviour by making on...
متن کاملRapid Dynamical Chaos In An Exoplanetary System
We report on the long-term dynamical evolution of the two-planet Kepler-36 system, which we studied through numerical integrations of initial conditions that are consistent with observations of the system. The orbits are chaotic with a Lyapunov time of only ∼10 years. The chaos is a consequence of a particular set of orbital resonances, with the inner planet orbiting 34 times for every 29 orbit...
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 Applied Mathematics
سال: 2013
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2013/212036