Fractals and Chaos Simplified for the Life Sciences

2017-07-07 02:10:07

[Cover] [Abbreviated Contents] [Contents] [Index]

Page 129



		Phase Space



		2.2.1



		Phase Space



		2.2.2



		Attractors



		2.2.3



		The Fractal Dimension of the Attractor Tells Us the Number of Independent Variables Needed to Generate the Time Series



		2.2.4



		Random is High Dimensional; Chaos is Low Dimensional



		2.2.5



		Constructing the Phase Space Set from a Sequence of Data in Time



		2.2.6



		Example of Phase Space Sets Constructed from Direct Measurement: Motion of the Surface of Hair Cells in the Ear



		2.2.7



		Example of Phase Space Sets Constructed from the Measurement of One Variable



		2.2.8



		The Beating of Heart Cells



		2.2.9



		Example of Using the Phase Space Set to Differentiate Random and Deterministic Mechanisms: The Beating of Heart Cells



		2.2.10



		Overview of the Phase Space Analysis



		2.2.11



		The Fractal Dimension Is Not Equal to the Fractal Dimension



		2.2.12



		Biological Implications of the Phase Space Analysis

[Cover] [Abbreviated Contents] [Contents] [Index]

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