Tarpusavio sinchronizacijos sistemos matematinio modelio sudarymas ir tyrimas
The mutual synchronization system composed of four oscillators is analysed in the work. The matrix differential equation with delayed arguments is the mathematical model of the synchronization system. The solution of the matrix differential equation is obtained applying the method of “steps” and Lap...
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| Format: | Dissertation |
| Language: | Lithuanian |
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Lithuanian Academic Libraries Network (LABT)
2006
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| Online Access: | http://vddb.library.lt/fedora/get/LT-eLABa-0001:E.02~2006~D_20060606_151651-91192/DS.005.0.01.ETD |
| Summary: | The mutual synchronization system composed of four oscillators is analysed in the work. The matrix differential equation with delayed arguments is the mathematical model of the synchronization system. The solution of the matrix differential equation is obtained applying the method of “steps” and Laplace transform. The solution involves the powers of the matrix describing the structure of internal links of the synchronization system. The powers of this matrix are calculated taking into account the eigenvalues and eigenvectors of the matrix. Applying solution of the matrix differential equation the step responses matrix of the system is obtained and transient responses are analysed. The dependence of the phase differences of the oscillators on initial conditions is analysed. |
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