A Generalized 2-D Model for Fully Bounded Chaotic Attractors and Chaotic Seas
نویسنده
چکیده
The aim of this paper is to present a fully bounded 2-D model for chaotic attractors or chaotic seas. The relevance of this result is that there are some specific examples of bounded chaotic attractors or chaotic seas. There is no rigorous proof of this property for a general form of mappings. DOI: 10.4018/jalr.2012040105 3 more pages are available in the full version of this document, which may be purchased using the "Add to Cart" button on the product's webpage: www.igi-global.com/article/generalized-model-fully-boundedchaotic/74336?camid=4v1 This title is available in InfoSci-Journals, InfoSci-Journal Disciplines Medicine, Healthcare, and Life Science. Recommend this product to your librarian: www.igi-global.com/e-resources/libraryrecommendation/?id=2
منابع مشابه
Dynamical behavior and synchronization of chaotic chemical reactors model
In this paper, we discuss the dynamical properties of a chemical reactor model including Lyapunov exponents, bifurcation, stability of equilibrium and chaotic attractors as well as necessary conditions for this system to generate chaos. We study the synchronization of chemical reactors model via sliding mode control scheme. The stability of proposed method is proved by Barbalate’s lemma. Numeri...
متن کاملAn example of a fully bounded chaotic sea that surrounds an infinite set of nested invariant tori
Precise definitions of elliptic islands and chaotic seas are difficult to give. Models for chaotic seas are rare in theory and practice. A few results on the dynamics in the chaotic region are available [1-2-3-4-6-7-9-15-16]. Some topological characterizations of elliptic islands in a chaotic sea are available in [5-8-11-12-17-18-19]. One of the techniques uses rotation numbers [13-14]. There a...
متن کاملGenerating Fully Bounded Chaotic Attractors
Generating chaotic attractors from nonlinear dynamical systems is quite important because of their applicability in sciences and engineering. This paper considers a class of 2-D mappings displaying fully bounded chaotic attractors for all bifurcation parameters. It describes in detail the dynamical behavior of this map, along with some other dynamical phenomena. Also presented are some phase po...
متن کاملA New Chaotic System and Beyond: the Generalized Lorenz-like System
This article introduces a new chaotic system of three-dimensional quadratic autonomous ordinary differential equations, which can display (i) two 1-scroll chaotic attractors simultaneously, with only three equilibria, and (ii) two 2-scroll chaotic attractors simultaneously, with five equilibria. Several issues such as some basic dynamical behaviors, routes to chaos, bifurcations, periodic windo...
متن کاملChaotic Interactions of Self-replicating RNA
A general system of high-order differential equations describing complex dynamics of replicating biomolecules is given. Symmetry relations and coordinate transformations of general replication systems leading to topologically equivalent systems are derived. Three chaotic attractors observed in Lotka-Volterra equations of dimension n = 3 are shown to represent three cross-sections of one and the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- IJALR
دوره 3 شماره
صفحات -
تاریخ انتشار 2012