zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Study on the global property of the smooth Chua’s system. (English) Zbl 1185.37056
Summary: We first give a constructive proof for the existence of a globally exponential attractive set for Chua’s system with a smooth nonlinear function. Then we derive a series of simple algebraic sufficient conditions under which two smooth Chua systems of the same type can be globally exponentially synchronized using simple linear feedback controls. Also, as special cases of chaos synchronization, we consider the global tracking and global exponential tracking of periodic motions, as well as the global stabilization and globally exponential stabilization of equilibrium points, in smooth Chua systems. We construct a series of simple, easily applicable feedback control laws. Computer simulation results are presented to verify the theoretical predictions.
MSC:
37C70Attractors and repellers, topological structure
34C28Complex behavior, chaotic systems (ODE)
37D45Strange attractors, chaotic dynamics
37N35Dynamical systems in control
93C10Nonlinear control systems