Darboux integrals for a particular case Chua Circuit
Abstract
In this paper we study th eintegrability of a particular case of the system of dierential equations describing the behavior of the circuit Chua (See1),for B > 0 we characterize all its generalized rational first integrals, which contains the Darboux type first integrals and it is show that the number of functionally independent generalized rational first integrals of system is at most the dimension of the minimal vector subspace of R3 containing the set
{(k1; k2; k3) 2 R3 : k11 + k22 + k33 = 0; (k1; k2; k3) , (0; 0; 0)}
That is,the number of first integrals of system are only calculated, no other.
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References
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