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Normal Forms and Unfoldings of Singular Strategy Functions.

Vutha, Amit C
http://rave.ohiolink.edu/etdc/view?acc_num=osu1385461288

Abstract Details

2013, Doctor of Philosophy, Ohio State University, Mathematics.
We study adaptive dynamics (AD) strategy functions by defining a form of equivalence that preserves key properties of these functions near singular points. Specifically, we compute and classify normal forms and low codimension universal unfoldings of these functions. This problem is complicated because the allowable coordinate changes at such points are restricted by the specific nature of strategy functions; hence the needed singularity theory is not the standard one.
Martin Golubitsky (Advisor)
Yuan Lou (Committee Member)
Ian Hamilton (Committee Member)
104 p.
Mathematics
Singularity theory, Adaptive dynamics

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Citations

  • Vutha, A. C. (2013). Normal Forms and Unfoldings of Singular Strategy Functions. [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1385461288

    APA Style (7th edition)

  • Vutha, Amit. Normal Forms and Unfoldings of Singular Strategy Functions. 2013. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1385461288.

    MLA Style (8th edition)

  • Vutha, Amit. "Normal Forms and Unfoldings of Singular Strategy Functions." Doctoral dissertation, Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1385461288

    Chicago Manual of Style (17th edition)

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This open access ETD is published by The Ohio State University and OhioLINK.