ISSN:
1573-269X
Keywords:
Periodic orbits
;
two-parameter perturbation method
;
resonance and non-resonance cases
;
implicit function
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The two-parameter perturbation method, applied to the example of periodic oscillations in periodically driven nonlinear dynamical systems, is presented. The analytical conditions are given for the existence of a two-parameter family of periodic orbits in nonautonomous dynamical systems in both non-resonance and resonance cases.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00047120
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