Period doubling solitons: yes or no?
Valkering, T.P. and Zeegers, Th. (1991) Period doubling solitons: yes or no? Physica D: Nonlinear phenomena, 51 (13). pp. 360375. ISSN 01672789

PDF
1MB 
Abstract:  We investigate the possibility of period doubling transition to temporal chaos of a coherent structure in a finite dimensional Hamiltonian system with moderately small friction. A solitary wave in a periodically driven chain of particles provides a typical example. To this end the equations of motion are transformed to those of one driven dominant oscillator with one degree of freedom, weakly coupled to a set of oscillators representing the other degrees of freedom. The equations for the dominant oscillator alone confirm the possibility of such a transition to chaos for well chosen driving. However, taking into account coupling to the other degrees of freedom, one must conclude that the supposed infinite period doubling sequence for small or no dampling survives only in a heavily damaged state. In practice a reproducable completed sequence cannot be expected unless the damping is strong enough. 
Item Type:  Article 
Copyright:  © 1991 Elsevier Science 
Research Group:  
Link to this item:  http://purl.utwente.nl/publications/24794 
Official URL:  http://dx.doi.org/10.1016/01672789(91)902455 
Export this item as:  BibTeX EndNote HTML Citation Reference Manager 
Repository Staff Only: item control page
Metis ID: 129595