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V9999
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What are the remaining open problems and challenges of nonlinear dynamics and chaos?
I Open problems in nonlinear dynamics and Chaos
- Thread starter V9999
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- Chaos Nonlinear dynamics
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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.
I already posted a similar thread a while ago, but this time I want to focus exclusively on one single point that is still not clear to me.
I just came across this problem again in Modern Classical Mechanics by Helliwell and Sahakian. Their setup is exactly identical to the one that Taylor uses in Classical Mechanics: a rocket has mass m and velocity v at time t. At time ##t+\Delta t## it has (according to the textbooks) velocity ##v + \Delta v## and mass ##m+\Delta m##. Why not ##m -...