Title :
A drastic facilitation of the onset of global chaos in periodically driven Hamiltonian systems possessing more than one separatrix
Author :
Soskin, S.M. ; Yevtushenko, O.M. ; Mannella, R.
Author_Institution :
Inst. of Semicond. Phys., Acad. of Sci., Kiev, Ukraine
Abstract :
Shows that there are certain frequencies of the driving force at which the overlap in energy between different-order resonances and the overlap in the phase space between the resonances of the same order are combined resulting in the onset of global chaos at unusually small amplitudes of the driving force. We demonstrate this in detail for a system with more than one separatrix, since the effect is most pronounced in such systems
Keywords :
bifurcation; chaos; eigenvalues and eigenfunctions; perturbation theory; different-order resonances; driving force; energy overlap; global chaos; periodically driven Hamiltonian systems; phase space; separatrix; Chaos; Electrons; Extraterrestrial phenomena; Frequency; Magnetic fields; Magnetic resonance; Physics;
Conference_Titel :
Physics and Engineering of Millimeter and Sub-Millimeter Waves, 2001. The Fourth International Kharkov Symposium on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-6473-2
DOI :
10.1109/MSMW.2001.946833
