Errata for Introduction to Dynamical Systems: Discrete and Continuous, 1st edition
ثبت نشده
چکیده
and so M(t)c = c1 x(t) + · · ·+ cn x(t) is the vector solution that equals M(0)c = c1 x(0) + · · ·+ cn x(0) when t = 0. p. 16 Theorem 2.1.1(c): If c = (c1, . . . , ck) is a constant vector and M(t) is an n × k matrix solution, then M(t)c is a (vector) solution. p. 16 L. 23: is called the Wronskian of the system of vector solutions given by the columns of M(t). p. 21 L. 19 & 21: λ − (a+ d)λ+ (ad− bc) and ∆ = (ad− bc) = det(A) p. 48 L. -1: ( Ċ1 Ċ2 ) = k ( −(1 + b) b (1 + b) −(1 + b) )( C1 C2 ) + k ( C0(t) 0 )
منابع مشابه
On the Notion of Fuzzy Shadowing Property
This paper is concerned with the study of fuzzy dynamical systems. Let (XM ) be a fuzzy metric space in the sense of George and Veeramani. A fuzzy discrete dynamical system is given by any fuzzy continuous self-map dened on X. We introduce the various fuzzy shad- owing and fuzzy topological transitivity on a fuzzy discrete dynamical systems. Some relations between this notions have been proved.
متن کاملEntropy operator for continuous dynamical systems of finite topological entropy
In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.
متن کاملThe Study of Nonlinear Dynamical Systems Nuclear Fission Using Hurwitz Criterion
In this paper, the nonlinear dynamic system of equations, a type of nuclear ssion reactor is solved analytically and numerically. Considering that the direct solution of three-dimensional dynamical systems analysis and more in order to determine the stability and instability, in terms of algebraicsystems is dicult. Using certain situations in mathematics called Hurwitz criterion, Necessary and ...
متن کاملOn Two-parameter Dynamical Systems and Applications
In this note some useful properties of strongly continuous two-parameter semigroups of operators are studied, an exponential formula for two-parameter semigroups of operators on Banach spaces is obtained and some applied examples of two-parameter dynamical systems are discussed
متن کاملOn the shadowing property of nonautonomous discrete systems
In this paper we study shadowing property for sequences of mappings on compact metric spaces, i.e. nonautonomous discrete dynamical systems. We investigate the relation of weak contractions with shadowing and h-shadowing property.
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:
دوره شماره
صفحات -
تاریخ انتشار 2014