Subharmonic and superharmonic synchronization in weakly non-linear systems
作者： R.N. Tiwari , R. Subramanian
DOI: 10.1016/0022-460X(76)90877-4
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摘要: Abstract This paper deals with the necessary conditions required for subharmonic and superharmonic synchronization in weakly non-linear systems multiple inputs. For a second order system given non-linearity of type x r s , all possible subharmonic, ultrasubharmonic synchronizations are determined. An example is furnished which illustrates kind synchronization. The stability synchronized solution has also been studied.
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H. Weitzner, Julian D. Cole, Perturbation Methods in Applied Mathematics Mathematics of Computation. ,vol. 23, pp. 688- ,(1969) , 10.2307/2004413
J. Tomas, Ultrasubharmonic resonance in a Duffing system International Journal of Non-Linear Mechanics. ,vol. 6, pp. 625- 631 ,(1971) , 10.1016/0020-7462(71)90025-4
Robert Gambill, Jack Hale, Subharmonic and Ultraharmonic Solutions for Weakly Non-Linear Systems Indiana University Mathematics Journal. ,vol. 5, pp. 353- 394 ,(1956) , 10.1512/IUMJ.1956.5.55014
Morris E. Levenson, A numerical determination of ultra-subharmonic response for the Duffing equation ++³=(>0)* Quarterly of Applied Mathematics. ,vol. 25, pp. 456- 461 ,(1967) , 10.1090/QAM/99841
Richard E. Kronauer, Samuel A. Musa, Necessary conditions for subharmonic and superharmonic synchronization in weakly nonlinear systems Quarterly of Applied Mathematics. ,vol. 24, pp. 153- 160 ,(1966) , 10.1090/QAM/203183