国际学生入学条件
Applicants will be required to upload a copy of transcripts received from each college or university attended where credit was earned toward an undergraduate, graduate or professional degree. Transcripts for study abroad or transfer programs are not required if the course titles, grades, and credit hours are included on the transcript of the degree-granting institution. If the transcript is in a language other than English, please provide an official translation. If you are offered admission, you will be required to request that official hard copy transcripts from all of your degree granting institutions be sent directly to Tufts.
Letters of Recommendation
Personal Statement
Résumé/Curriculum Vitae
Three letters of recommendation
Graduate Record Examination (GRE)
A minimum TOEFL score of 90 on the internet based exam is required for Certificate, MA, MS, and PhD applicants,
The minimum IELTS score is 6.5. The minimum Duolingo English Test score is 110.
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IDP—雅思考试联合主办方
雅思考试总分
6.5
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- 雅思总分：6.5
- 托福网考总分：90
- 托福笔试总分：160
- 其他语言考试：Duolingo Test score is 110
课程简介
Dynamical systems at Tufts involves faculty, graduate students and undergraduate students, and runs a weekly working seminar. The work here encompasses a variety of research subjects in pure and applied dynamical systems. These include hyperbolic dynamical systems (maximally chaotic ones in which any two time-evolutions drift apart exponentially fast), geometrically motivated dynamical systems (such as free particle motion in curved spaces in the form of geodesic flows, periodic orbits studied with methods of braid theory, mapping class groups, or the trajectories in billiards), ergodic theory (the study of deterministic dynamical systems with probabilistic methods to capture the pseudorandom behavior of complex systems), and methods of hyperbolic dynamics in computational fluid dynamics.<br><br>Past topics of senior, master's and doctoral theses include forcing of periodic points, inner and outer billiards, the topology of hyperbolic sets, Sinai-Ruelle-Bowen measures, iterated-function systems, structural stability, recurrence, Ornstein theory, interval maps, measure-rigidity, desingularization of Lorenz-like attractors, Hilbert geometries, Finsler Laplacians, skewed R-covered Anosov flows, gases of hard particles, and shadowing.
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