ISSN:
1573-2754
Keywords:
heteroclinic orbit bifurcations
;
subharmonic bifurcations
;
chaotic motions
;
parametric excitation
;
Melnikov's method
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract Dynamical behavior of nonlinear oscillator under combined parametric and forcing excitation, which includes van der Pol damping, is very complex. In this paper, Melnikov's method is used to study the heteroclinic orbit bifurcations, subharmonic bifurcations and chaos in this system. Smale horseshoes and chaotic motions can occur from odd subharmonic bifurcation of infinite order in this system-for various resonant cases. Finally the numerical computing method is used to study chaotic motions of this system. The results achieved reveal some new phenomena.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02457367
Permalink