ISSN:
1573-2754
Keywords:
time-dependent parametric system
;
bifurcation transition
;
imperfect bifurcation
;
Duffing's equation
;
O175
;
O315.3
;
O322
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 A new method was proposed for essentially studying the imperfect bifurcation problem of nonlinear systems with a slowly varying parameter. By establishing some theorems on the solution approximated by that of the linearized system, the delayed bifurcation transition and jump phenomena of the time-dependent equation were analyzed. V-function was used to predict the bifurcation transition value. Applying the new method to analyze the Duffing's equation, some new results about bifurcation as well as that about the sensitivity of the solutions with respect to initial values and parameters are obtained.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02459312
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