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- W1652410966 abstract "A three-dimensional differential system is presented to discuss the transition from quasiperiodicity to chaos in dissipative systems. The system includes the Lorenz model and a time-dependent Hamiltonian system as special cases. An asymptotic solution is calculated by using the nonlinear scale method. The transition is discussed theoretically with the help of the solution. The time evolution of the system is decomposed into a fastly varying part and a slowly varying part. The slowly varying part is shown to be described in terms of a Langevin-type equation. The origin of the stochastic nature and the reconciliation between the stochastic nature and the deterministic one of chaos are elucidated clearly. The theoretical result is shown to be in a good agreement with that of its numerical simulation." @default.
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- W1652410966 date "1987-04-01" @default.
- W1652410966 modified "2023-09-30" @default.
- W1652410966 title "Perturbation theory analysis of chaos" @default.
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- W1652410966 doi "https://doi.org/10.1016/0378-4371(87)90018-5" @default.
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