Undergrad Open problems in nonlinear dynamics and Chaos

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Open problems in nonlinear dynamics and chaos include understanding the long-term behavior of chaotic systems, the predictability of chaotic phenomena, and the transition between different dynamical regimes. Researchers are also focused on the mathematical characterization of strange attractors and the implications of chaos in various fields such as physics and biology. The challenges involve developing robust methods for analyzing complex systems and improving computational techniques for simulating chaotic behavior. Additionally, there is ongoing exploration of the connections between chaos theory and other scientific disciplines. Addressing these issues could significantly advance the understanding of nonlinear dynamics and its applications.
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What are the remaining open problems and challenges of nonlinear dynamics and chaos?
 
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Thread 'What is the pressure of trapped air inside this tube?'
As you can see from the picture, i have an uneven U-shaped tube, sealed at the short end. I fill the tube with water and i seal it. So the short side is filled with water and the long side ends up containg water and trapped air. Now the tube is sealed on both sides and i turn it in such a way that the traped air moves at the short side. Are my claims about pressure in senarios A & B correct? What is the pressure for all points in senario C? (My question is basically coming from watching...

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