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Another perspective of 'explosion'. Here, I am changing the control parameter and the chaotic system colapses in a period 1. In a system like this, is common to observe hysteresis, as we change the control parameter...pic.twitter.com/UiE6RXgCOl
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You can't beat a good bifurcation diagram!
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In my specific case, I am in a real space, while you are in the complex plane. But reading the paper that yiu sent me, the dimension of your space is small enough to explain what is happening with this kind of bifurcation:pic.twitter.com/jey2qb4izu
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"Although many dynamical systems characterized by at least two diferent frequencies exhibit quasi-periodic long-term behavior, it is worthy of notice that the nonlinear dynamics of certain fluid flows can be described by low-dimensional dynamical systems...pic.twitter.com/4FUmCMkpzp
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the systems are studied by evaluating dominating bubble frequencies and their topological aspects, rather than by solving the Navier–Stokes equation...pic.twitter.com/2e3Q4wXBeF
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This behaviour reminds me 'Saddle/Node bifurcation' or 'Explosion':pic.twitter.com/FLp977j0ty
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The properties of this system can be analized using the parameter 'lambda', like I did in my bubbling system.pic.twitter.com/J4HxhdB5RM
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So you could see how your system behaves increasing or decreasing your 'control' parameter.
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