Titlebook: Analysis and Simulation of Chaotic Systems; Frank C. Hoppensteadt Textbook 2000Latest edition Springer Science+Business Media New York 200

钩针织物

严重伤害

Introduction to Digital VLSI Systems Design,This chapter contains material intended to provide the reader with some background in topics of dynamical systems that are used later. There is a large literature on each topic in this chapter, and the presentation here provides only an overview of topics relevant to the remainder of the book

chance

弯弯曲曲

Writing a Test Bench for the Design,It is often possible to reduce stability and oscillation problems for differential equations to problems for systems of algebraic or operator equations, which can be studied using implicit function theorems and fixed point-methods.

avarice

garrulous

Linear Systems,A linear system of ordinary differential equations has the form . Given an .-dimensional vector . and an . × . matrix .(.) of functions of ., we seek a solution vector .(.). We write ., . ∈ . and . ∈ . and sometimes . = ./. or

改正

桶去微染

Stability Methods for Nonlinear Systems,A mechanical or an electrical device can be fabricated to a level of accuracy that is restricted by technical or economic constraints.What happens to the output if the construction is a little off specifications? Does output remain near design values? How sensitive is the design to variations in fabrication parameters?

保留

Bifurcation and Topological Methods,It is often possible to reduce stability and oscillation problems for differential equations to problems for systems of algebraic or operator equations, which can be studied using implicit function theorems and fixed point-methods.

侵害

Methods of Averaging,Regular perturbation methods are based on Taylor’s formula and on implicit function theorems. However, there are many problems to which Taylor’s formula cannot be applied directly. In these cases perturbation methods based on multiple time or space scales can often be used, sometimes even for chaotic systems