Phase Space Analysis and Unfolding

Mark Shelhamer

doi:10.1201/9781439820025-7

Phase Space Analysis and Unfolding

Mark Shelhamer

School of Medicine

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Nonlinear systems are inherently high-dimensional. The meaning and implications of this will become clear in this chapter. For now, we note that the dimension of a system can be thought of as the number of independent mathematical variables that are needed to fully describe its behavior. For a continuous-time system, at least three such variables are needed for anything CONTENTS Introduction to Phase Space 73 Definition, Example. 74 Attractors and Dimension. 75.

Original language	English (US)
Title of host publication	Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data
Publisher	CRC Press
Pages	73-101
Number of pages	29
ISBN (Electronic)	9781439820025
ISBN (Print)	9781439819975
DOIs	https://doi.org/10.1201/9781439820025-7
State	Published - Jan 1 2016

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1201/9781439820025-7

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Phase Space Analysis and Unfolding

Abstract

ASJC Scopus subject areas

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