APPROACHING NONLINEAR DYNAMICS BY STUDYING THE MOTION OF A PENDULUM .1. OBSERVING TRAJECTORIES IN STATE-SPACE

被引：22

作者：

HENG, H

DOERNER, R

HUBINGER, B

MARTIENSSEN, W

机构：

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1994年 / 4卷 / 04期

关键词：

D O I：

10.1142/S0218127494000551

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A phenomenological introduction to concepts of nonlinear dynamics is given. A driven pendulum is used as an appropriate model to demonstrate characteristic features of the dynamics of nonlinear systems. The mechanical and electronic setup of the pendulum is described and quantified in detail, and different techniques to visualize the motion in state space are discussed. Finally, a ''road map'' in parameter space is caculated which provides a tool for finding special scenarios by choosing appropriate driving amplitudes and frequencies.

引用

页码：751 / 760

页数：10

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