Set1 - ME 680 Introduction to Bifurcation and Chaos(Spring 2010 Anil K Bajaj School of Mechanical Engineering 1 Text Book Troger H and Steindl A

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1 ME 680 Introduction to Bifurcation and Chaos (Spring 2010) Anil K. Bajaj School of Mechanical Engineering
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2 Text Book: Troger, H. and Steindl, A.: Nonlinear Stability and Bifurcation Theory: An Introduction for Scientists and Engineers, Springer-Verlag, Wein, 1991. + Class Notes.
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3 Grading: Course grade will be based on: (i) some home assignments; (ii) seminar presentations prepared on the basis of assigned topics from literature; (iii) project.
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4 Introduction Examples of nonlinear behavior in structural, fluid-mechanical and chemical/biological systems.
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5 1. Onset of wavy vortices in the finite-length CouetteTaylor problem - W. S. Edwards, S. R. Beane, and S. Varma Phys. Fluids A 3 (6). June 1991 Consider two concentric cylinders forming an annulus – There is fluid in the gap between the two cylinders. The inner cylinder rotates at a constant rate . At slow rates, the fluid undergoes steady shearing motion.
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Onset of wavy vortices……… At some threshold value of , uniform pattern becomes unstable and gives way to flow in the form of cells along the axial direction. The cell size (axial wave number) is ~ the gap width. These are called Taylor cells.
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This note was uploaded on 12/29/2011 for the course ME 680 taught by Professor Na during the Fall '10 term at Purdue University-West Lafayette.

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Set1 - ME 680 Introduction to Bifurcation and Chaos(Spring 2010 Anil K Bajaj School of Mechanical Engineering 1 Text Book Troger H and Steindl A

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