PARTIAL SYNCHRONIZATION THROUGH PERMUTATION SYMMETRY
نویسندگان
چکیده
منابع مشابه
Partial Synchronization through Permutation Symmetry
In this paper we consider the problem of the existence and stability of invariant manifolds in a network of diffusively coupled identical systems. It is shown that the existence of a symmetry in the network implies the existence of linear invariant manifolds. This correspond to so called partial synchronization, or clusterization, a phenomenon occurring when some subsystems from the network ope...
متن کاملPartial synchronization: from symmetry towards stability
In this paper we study the existence and stability of linear invariant manifolds in a network of coupled identical dynamical systems. Symmetry under permutation of different units of the network is helpful to construct explicit formulae for linear invariant manifolds of the network, in order to classify them, and to examine their stability through Lyapunov’s direct method. © 2002 Elsevier Scien...
متن کاملSynchronization 2: Permutation groups
Notation Ω will denote a set (often the set The image of an element v ∈ Ω under a permutation g of Ω will be denoted by vg. So if g and h are permutations, and we define composition by the rule that gh means " apply g, then h " , then v(gh) = (vg)h.
متن کاملPermutation Symmetry for Many Particles
We consider the implications of the Revised Symmetrization Postulate 1 for states of more than two particles. We show how to create permutation symmetric state vectors and how to derive alternative state vectors that may be asymmetric for any pair by creating asymmetric interdependencies in their state descriptions. Because we can choose any pair to create such an asymmetry, the usual generaliz...
متن کاملPartial Observers and Partial Synchronization
Traditionally, in engineering science, observer techniques most often deal with control problems. However, the potential of the theory on nonlinear observers [Njimejier & Mareels, 1997; Krener & Respondek, 1983; Xia & Gao, 1989] lies far beyond the area of control applications. Let us discuss a naive but illustrative example. Suppose a physician can monitor through a set of sensors some importa...
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: IFAC Proceedings Volumes
سال: 2002
ISSN: 1474-6670
DOI: 10.3182/20020721-6-es-1901.01107