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What is Pointwise Dimension in Hamiltonian Systems about?
The document summarizes a simple method for determining the number of isolating integrals in multidimensional Hamiltonian systems by calculating the pointwise dimension of phase space trajectories. The pointwise dimension is computed by examining how the total probability contained in a region around a point on the trajectory decreases with decreasing region size. Results for 2D and 3D Hamiltonians, including the Henon-Heiles system, agree with previous calculations of fractal and information dimensions, de
- Author
- Cvgdnnny
- Language
- EN