Titlebook: A First Course in Discrete Dynamical Systems; Richard A. Holmgren Textbook 1996Latest edition Springer-Verlag New York, Inc. 1996 bifurcat

高调

978-0-387-94780-8Springer-Verlag New York, Inc. 1996

acrimony

哀求

Katsuyuki Morii,Hirohiko FukagawaThe topology of a mathematical space is its structure or the characteristics it exhibits. In calculus, we were introduced to a few topological ideas, and we will need a few more in our study of dynamics.

压迫

Edward L. McNeil M.B., B.S., M.D.We are now ready to examine the dynamics of discrete systems. We begin by defining and categorizing the simplest types of behavior. In most of what follows, we will assume that the range of the function in question is a subset of the domain. Exceptions to this practice will be noted.

咆哮

安心地散步

Harpoon

Sampling of Airborne Particulate Matter,We return to the family of functions .(.) = .(1 − .) where . > 0. As we saw in Chapter 1, this family is a reasonable model of population growth. We note that the graph of . is a parabola facing down with . intercepts at 0 and 1, and with a vertex at the point

上流社会

加花粗鄙人

遗传

Saurabh Sonwani,Anuradha Shuklaf the form .(.) = ., where m is allowed to vary over the real numbers. The variable . is called a . and the family represented by .(.) = . is called a .. The parameter is usually written as a subscript of the function name. In those cases where the parameter is clear, we will suppress the subscript