http://ergodicity.iamganesh.com/2006/12/17/nonlinear-physics/ Quick brown foxes and lazy dogs. Tue, 06 Jan 2009 20:41:37 +0000 http://wordpress.org/?v=2.7 hourly 1 http://ergodicity.iamganesh.com/2006/12/17/nonlinear-physics/comment-page-1/#comment-1455 Faraday crispations » Ganesh Swami Sat, 24 Feb 2007 09:20:49 +0000 http://ergodicity.iamganesh.com/2006/12/17/nonlinear-physics/#comment-1455 <p>[...] Faraday waves were first described in an appendix to a paper published in the Philosophical Transactions of the Royal Society of London in 1831. These are standing non-linear waves that are generated when an open container with fluid is subject to vertical oscillations. When the oscillations reach a certain threshold, we begin to see an instability on the surface of the fluid. Our professor did a demo for us with two fluids: canola and water. I had posted a video to Faraday waves with corn starch some time back. [...]</p> [...] Faraday waves were first described in an appendix to a paper published in the Philosophical Transactions of the Royal Society of London in 1831. These are standing non-linear waves that are generated when an open container with fluid is subject to vertical oscillations. When the oscillations reach a certain threshold, we begin to see an instability on the surface of the fluid. Our professor did a demo for us with two fluids: canola and water. I had posted a video to Faraday waves with corn starch some time back. [...]

]]> http://ergodicity.iamganesh.com/2006/12/17/nonlinear-physics/comment-page-1/#comment-669 Phase space » Ganesh Swami Mon, 15 Jan 2007 03:14:19 +0000 http://ergodicity.iamganesh.com/2006/12/17/nonlinear-physics/#comment-669 <p>[...] Each point on the phase space acts as an initial condition for the system. As I had written earlier, solving this equation is not trivial. If instead we look at the phase plane, we can determine three distinct regions of operations: [...]</p> [...] Each point on the phase space acts as an initial condition for the system. As I had written earlier, solving this equation is not trivial. If instead we look at the phase plane, we can determine three distinct regions of operations: [...]

]]> http://ergodicity.iamganesh.com/2006/12/17/nonlinear-physics/comment-page-1/#comment-503 Looking ahead » Ganesh Swami Mon, 01 Jan 2007 02:51:01 +0000 http://ergodicity.iamganesh.com/2006/12/17/nonlinear-physics/#comment-503 <p>[...] As I’m only taking only one course next term, you might be wondering what I’m upto. I’ll be working at the Medical Imaging Analysis Lab (MIAL) for the next eight months. To be specific, I’ll be working in the field of Computational Anatomy, which is “the use of mathematical analysis to learn how tissues grow, assume new shapes and morph into mature structures.” [...]</p> [...] As I’m only taking only one course next term, you might be wondering what I’m upto. I’ll be working at the Medical Imaging Analysis Lab (MIAL) for the next eight months. To be specific, I’ll be working in the field of Computational Anatomy, which is “the use of mathematical analysis to learn how tissues grow, assume new shapes and morph into mature structures.” [...]

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