Sequence of subharmonic bifurcations and chaos in perturbed anharmonic systems |
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| Authors: | M Bartuccelli P L Christiansen V Muto N F Pedersen |
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| Institution: | (1) Laboratory of Applied Mathematical Physics, The Technical University of Denmark, DK-2800 Lyngby, Denmark;(2) Physics Laboratory I, The Technical University of Denmark, DK-2800 Lyngby, Denmark;(3) Present address: Department of Mathematics, Imperial College, Queen's Gate, SW7-2BZ London, England;(4) Present address: Center for Nonlinear Studies, Los Alamos National Laboratory, 87545 Los Alamos, New Mexico |
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| Abstract: | Summary The investigation of the onset of chaos for a dynamical system which models the nonlinear dynamics of particles in anharmonic
potential is analytically performed. It is shown that, in the solutions of the ordinary differential equation which describes
this system, a range of parameter values exists for which the system has in its dynamics the so-called Smale horseshoe, which
is the source of the unstable chaotic motion observed. Furthermore, using the averaging theorem, the stability of the subharmonics
is studied. |
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| Keywords: | Mechanics of discrete systems |
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