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We consider the problem of minimizing the energy of an inextensible elastic strut with length 1 subject to an imposed twist angle and force. In a standard calculus of variations approach, one first locates equilibria by solving the Euler–Lagrange ODE with boundary conditions at arclength values 0 and 1. Then one classifies each equilibrium by counting… (More)

Nonlinear problems arising in modeling applications are frequently parameter dependent, so that families of solutions are of interest. Such problems naturally lend themselves to interactive computation that exploits parameter continuation methods combined with visualization techniques. Visualization provides both understanding of the solution set and… (More)

The theory of conjugate points in the calculus of variations is reconsidered with a perspective emphasizing the connection to finite-dimensional optimization. The object of central importance is the spectrum of the second-variation operator, analogous to the eigenvalues of the Hessian matrix in finite dimensions. With a few basic properties of this… (More)

The theory of conjugate points in the classic calculus of variations allows, for a certain class of functionals, the characterization of a critical point as stable (i.e., a local minimum) or not. In this work, we generalize this theory to more general functionals, assuming certain generic properties of the second variation operator. The extended conjugate… (More)

- Suzanne Amador Kane, Marjon Zamani, Daniel J. Rigotti, Bashkim Kokona, Theresa Horne, Eric K. Acton +4 others
- 2015

I worked at an electronics start-up company between undergraduate and graduate school. When hawks attack: animal-borne video studies of goshawk pursuit and prey evasion strategies " , The Journal of Experimental Biology, 218:212-222 (2015). (cited by 3) * 2. Suzanne Amador Kane and Marjon Zamani, " Falcons pursue prey using visual cues: new perspectives… (More)

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