Titlebook: Attractors, Bifurcations, and Chaos; Nonlinear Phenomena T?nu Puu Book 20001st edition Springer-Verlag Berlin Heidelberg 2000 bifurcation.

發(fā)芽

Development: Multiple Attractors,8, but forgotten by later growth theorists. This is just a modelling imperfection — a misspecification of the process due to choosing a too low order for it — which we will not further elaborate on in the present context.

GRAIN

ations are essential, when dealing with nonlinear systems, where closed form solutions do not exist. Even theoretical science then becomes experimental. (The software prepared for that book can still be acquired directly from the author at the address tonu. puu@econ. umu. se. ) T978-3-662-04094-2

Ambiguous

Book 20001st editionser interface. Simulations are essential, when dealing with nonlinear systems, where closed form solutions do not exist. Even theoretical science then becomes experimental. (The software prepared for that book can still be acquired directly from the author at the address tonu. puu@econ. umu. se. ) T

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G Proteins, Receptors, and Diseasetant systems both in physics and in economics in fact live in two dimensions. All second order systems are two dimensional. To this category belong all the oscillators, exemplified by the mathematical pendulum, or by the Samuelson-Hicks business cycle model if put in continuous time. It should be re

Coronary

調(diào)色板

GORGE

constitutional

Geometric Differential Equationsls of chaos for discrete time models. This is so because, before the tools of analysis, such as symbolic dynamics, can be applied to the continuous models we need to construct the return map on the Poincaré section for the orbit investigated. This, however, means that we first have to integrate the

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