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- Detecting integrals in reversible maps
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- Michael Tallis PhD Research Travel Award
- Information about research theses
- Past research students
- Resources
- Entry requirements
- PhD projects
- Obtaining funding
- Application & fee information
Student services
- Help for postgraduate students
- Thesis guidelines
- School assessment policies
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- Mathematics Drop-in Centre
- Consultation
- Statistics Consultation Service
- Academic advice
- Enrolment variation
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- Application form for existing casual tutors
- ARC grants Head of School sign off
- Computing facilities
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Abstract:
In this talk, we study discrete dynamical systems under reversible mappings. In particular, we examine the orbit statistics when reduced to a finite space. We will briefly talk about previous results regarding distribution and bounds of orbit lengths.
We will then look at the number of periodic orbits and see that there is a strong relationship between this and the number of algebraic integrals that the mapping has. By using this number, we develop a test to extract the number of integrals in reversible mappings.
Speaker
Timothy Siu
Research Area
Number Theory Seminar
Affiliation
UNSW
Date
Wed, 19/10/2016 - 2:00pm
Venue
RC-4082, The Red Centre, UNSW