# On the number of isolating integrals in Hamiltonian systems

@article{Contopoulos1978OnTN, title={On the number of isolating integrals in Hamiltonian systems}, author={G. Contopoulos and L. Galgani and A. Giorgilli}, journal={Physical Review A}, year={1978}, volume={18}, pages={1183-1189} }

In a Hamiltonian system of three degrees of freedom we have found a large stochastic region (the "big sea"), some other stochastic regions, apparently separated from the above ("small seas"), and some ordered regions. In the ordered regions the maximal Lyapunov characteristic number vanishes, while it has finite values in the stochastic regions. However, these values are different in the big sea and the small seas. Three formal integrals were constructed and they were truncated at orders 2,3… CONTINUE READING

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