ISSN:
0894-9166
Keywords:
nonlinear oscillation
;
Melnikov's method
;
chaos
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
Notes:
Abstract Two classes of forced vibration system with both square and cubic nonlinear terms are treated as Hamiltonian integrable systems under small perturbation. The Melnikov's functions are given. Thus the necessary condition for induction of chaos in the systems is obtained.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02207587
Permalink