Next Article in Journal
New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations
Previous Article in Journal
Fusion Estimation from Multisensor Observations with Multiplicative Noises and Correlated Random Delays in Transmission
Article Menu
Issue 3 (September) cover image

Export Article

Open AccessArticle
Mathematics 2017, 5(3), 46;

The Catastrophe of Electric Vehicle Sales

Department of Mechanical Engineering, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA
Academic Editor: Indranil SenGupta
Received: 9 August 2017 / Revised: 30 August 2017 / Accepted: 11 September 2017 / Published: 17 September 2017
Full-Text   |   PDF [4679 KB, uploaded 17 September 2017]   |  


Electric vehicles have undergone a recent faddy trend in the United States and Europe, and several recent publications trumpet the continued rise of electric vehicles citing steadily-climbing monthly vehicle sales. The broad purpose of this study is to examine this optimism with some degree of mathematical rigor. Specifically, the methodology will use catastrophe theory to explore the possibility of a sudden, seemingly-unexplainable crash in vehicle sales. The study begins by defining optimal system equations that well-model the available sales data. Next, these optimal models are used to investigate the potential response to a slow dynamic acting on the relatively faster dynamic of the optimal system equations. Catastrophe theory indicates a potential sudden crash in sales when a slow dynamic is at-work. It is noteworthy that the prediction can be made even while sales are increasing. View Full-Text
Keywords: electric vehicles; gas prices; catastrophe theory; least squares; extrapolation; equilibrium point; jump theory electric vehicles; gas prices; catastrophe theory; least squares; extrapolation; equilibrium point; jump theory

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Sands, T. The Catastrophe of Electric Vehicle Sales. Mathematics 2017, 5, 46.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top