- Code PHYS8303
- Unit Value 6 units
- Offered by Research School of Physics
- ANU College ANU Joint Colleges of Science
- Course subject Physics
- Areas of interest Mathematics, Physics, Engineering, Theoretical Physics
See https://www.anu.edu.au/covid-19-advice. In Sem 1 2022, this course is delivered on campus with adjustments for remote participants.
This course is intended for the advanced study of the theory of nonlinear dynamics and its application. The course covers theory of bifurcations, deterministic chaos, and complex spatio-temporal behaviour in a diverse range of physical systems. The theory is developed in a systematic manner and incorporates analytical methods, qualitative and quantitative analysis, numerical calculations, and various “real-life” examples, ranging from mechanical and biological systems to semiconductor physics and optics. The course therefore has a distinct inter- and intra-disciplinary flavour, allowing the students to tie together and contextualise a number of concepts that they have learned throughout their undergraduate studies.
Upon successful completion, students will have the knowledge and skills to:
- Effectively use a range of theoretical methods for analyzing nonlinear dynamics;
- Employ a combination of analytical, geometrical, and numerical approaches for studying nonlinear effects;
- Identify the characteristic aspects of nonlinear oscillations and synchronization phenomena;
- Describe complex nonlinear dynamics by employing the universal principles of nonlinear bifurcations and routes to chaos;
- Understand the properties of nonlinear waves and localization;
- Develop critical thinking and problem-solving abilities, and apply these to a diverse range of practical multi-disciplinary nonlinear problems, spanning from mechanics to optics and solid-state physics;
- Understand and communicate the fundamental concepts covered in the course
- Two Problem Sets (20) [LO 1,2,3,4,5,6]
- Two Assignments (50) [LO 1,2,3,4,5,6,7]
- Exam (30) [LO 1,2,3,4,5,6]
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The expected workload will consist of approximately 130 hours throughout the semester including:
• Face-to face component which may consist of 2 x 1 hour lectures per week and 1 x 2 hour tutorial per week.
• Approximately 82 hours of self directed study which will include preparation for lectures and other assessment tasks.
To be determined
Requisite and Incompatibility
S.H. Strogatz, Nonlinear Dynamics and Chaos (E-book from ANU library)
24 units of university advanced level physics. 24 units of university level mathematics for physicists and engineers.
Tuition fees are for the academic year indicated at the top of the page.
Commonwealth Support (CSP) Students
If you have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). More information about your student contribution amount for each course at Fees.
- Student Contribution Band:
- Unit value:
- 6 units
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