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picture1_Dynamics Pdf 157954 | 021 Item Download 2023-01-19 04-56-25


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File: Dynamics Pdf 157954 | 021 Item Download 2023-01-19 04-56-25
j phys a math gen 29 1996 5963 5977 printed in the uk classical dynamics of a non integrable hamiltonian near coupling induced resonance islands marc joyeux laboratoire de spectrometrie ...

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...J phys a math gen printed in the uk classical dynamics of non integrable hamiltonian near coupling induced resonance islands marc joyeux laboratoire de spectrometrie physique cnrs ua universite joseph fourier grenoble i bp st martin d heres cedex france received december nal form may abstract purpose this article is description resonant which written h x k im cos m n mn ia ib r s c and where term with kc behaves as perturbation to remaining part call it apart from chaotic region around separatrix f clearly different that only neighbourhood low order periodic orbits are seen emerge model these hf taylor expanded terms its action integrals thanks recent exact analytical calculations angles conjugate actions retaining expansion almost secular because vicinity orbit leads local single frequencies can be calculated analytically for expression shown excellent agreement numerical values deduced power spectra poincare surfaces section pointed out discussion all trajectories inside share one de...

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