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The issue with massive waves on a 1 meter deep ocean is that the waves cannot propagate fast enough on a planetary size object. We get fast moving shallow tsunami waves in the open ocean over a thousand meters deep. The tsunami piles up when the wave slows down due to contact with a shallow shoreline. Hundred meter high waves could never propagate fast ...

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What change in the internal structure causes the transformation from elastic to plastic behavior? It depends on the material. For metals, small elastic strains are just the result of very small changes in the interatomic spacings. When more stress is applied, pre-existing dislocations in the metal start to move, causing re-arrangements in the atomic ...

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Plastic behaviour is characterised by there being permanent (non-reversible) deformations. In terms of molecules held together with springs (the bonds) in plastic deformation the springs are broken and the bonds then might the be between different molecules.

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Ok, I do not know the Sage algorithm but I am going to offer a conjecture of what is happening. You have to verify the conjecture by further numerical investigations. I assume that the Sage algorithm works optimally for bifurcations of a single equilibrium and can run into problems such as we see here when dealing with equilibria (AKA fixed points) ...

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You are making to the following mistakes: Your initial displacement $d_0$ is 5 % of the variation of the respective variable, while it should be orders of magnitude lower. The Lyapunov exponent is defined for the limit of infinitesimal displacements, i.e., $d_0→0$. Your observation time is far too short. You are looking at four oscillations of your ...

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