A New Chaotic System with Positive Topological Entropy
نویسندگان
چکیده
منابع مشابه
A New Chaotic System with Positive Topological Entropy
This paper introduces a new simple system with a butterfly chaotic attractor. This system has rich and complex dynamics. With some typical parameters, its Lyapunov dimension is greater than other known three dimensional chaotic systems. It exhibits chaotic behavior over a large range of parameters, and the divergence of flow of this system is not a constant. The dynamics of this new system are ...
متن کاملIntegrable geodesic flow with positive topological entropy
such that i) the geodesic flow on MA is (Liouville) integrable by C ∞ first integrals; ii) the geodesic flow on MA is not (Liouville) integrable by real-analytic first integrals; iii) the topological entropy of the geodesic flow Ft is positive; iv) the fundamental group π1(MA) of the manifold MA has an exponential growth; v) the unit covector bundle SMA contains a submanifold N such that N is d...
متن کاملPositive Topological Entropy for Magnetic
We study the topological entropy of the magnetic flow on closed Riemannian surface. We prove that if the magnetic flow has a non-hyperbolic closed orbit in some energy set T c M = E −1 (c), then there exists an exact C ∞-perturbation of the 2-form Ω such that the new magnetic flow has positive topological entropy in T c M. We also prove that if the magnetic flow has an infinite number of closed...
متن کاملPositive Topological Entropy and ℓ1
We characterize positive topological entropy for quasi-state space homeomorphisms induced from C∗-algebra automorphisms in terms of dynamically generated subspaces isomorphic to l1. This geometric condition is also used to give a description of the topological Pinsker algebra. In particular we obtain a geometric characterization of positive entropy for topological dynamical systems, as well as ...
متن کاملEntropy Production in a Chaotic Chemical System
für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...
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: Entropy
سال: 2015
ISSN: 1099-4300
DOI: 10.3390/e17085561