### Abstract

The existence of solutions for nonlinear resistive circuits has received much attention as a fundamental problem in circuit theory. An algorithm based on the homotopy continuation theory is presented and used to prove that at least one solution can always be constructed for the nonlinear resistive circuit equations whose solutions are guaranteed to exist by L. O. Chua and N. N. Wang's (1977) theorems. The usefulness of the algorithm is also demonstrated by a few examples.

Original language | English |
---|---|

Title of host publication | Proceedings - IEEE International Symposium on Circuits and Systems |

Publisher | IEEE |

Pages | 615-618 |

Number of pages | 4 |

Publication status | Published - 1985 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials

### Cite this

*Proceedings - IEEE International Symposium on Circuits and Systems*(pp. 615-618). IEEE.

**GLOBAL METHOD OF CONSTRUCTING SOLUTIONS FOR NONLINEAR RESISTIVE CIRCUITS.** / Sumi, Yuzo; Oishi, Shinichi; Tsurumi, Hiroshi; Horiuchi, Kazuo.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings - IEEE International Symposium on Circuits and Systems.*IEEE, pp. 615-618.

}

TY - GEN

T1 - GLOBAL METHOD OF CONSTRUCTING SOLUTIONS FOR NONLINEAR RESISTIVE CIRCUITS.

AU - Sumi, Yuzo

AU - Oishi, Shinichi

AU - Tsurumi, Hiroshi

AU - Horiuchi, Kazuo

PY - 1985

Y1 - 1985

N2 - The existence of solutions for nonlinear resistive circuits has received much attention as a fundamental problem in circuit theory. An algorithm based on the homotopy continuation theory is presented and used to prove that at least one solution can always be constructed for the nonlinear resistive circuit equations whose solutions are guaranteed to exist by L. O. Chua and N. N. Wang's (1977) theorems. The usefulness of the algorithm is also demonstrated by a few examples.

AB - The existence of solutions for nonlinear resistive circuits has received much attention as a fundamental problem in circuit theory. An algorithm based on the homotopy continuation theory is presented and used to prove that at least one solution can always be constructed for the nonlinear resistive circuit equations whose solutions are guaranteed to exist by L. O. Chua and N. N. Wang's (1977) theorems. The usefulness of the algorithm is also demonstrated by a few examples.

UR - http://www.scopus.com/inward/record.url?scp=0022287110&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022287110&partnerID=8YFLogxK

M3 - Conference contribution

SP - 615

EP - 618

BT - Proceedings - IEEE International Symposium on Circuits and Systems

PB - IEEE

ER -