### Abstract

An important problem in the computer-aided design of electronic circuits is the determination of the steady-state periodic response of nonlinear oscillatory systems. The Newton method is one of the most well-known methods for the steady-state analysis. However, it often fails to converge unless the initial estimate is appropriately given. In this short note, a simplicial homotopy method is applied for computing the steady-state solution of nonlinear oscillatory systems. It is shown by numerical examples that the region of convergence of the simplicial homotopy method is considerably wider than that of the Newton method. Furthermore, a new strategy of mesh refinement is also introduced in order to improve the computational efficiency of the proposed method.

Original language | English |
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Title of host publication | Bulletin of Centre for Informatics (Waseda University) |

Pages | 88-91, 118 |

Volume | 3 |

Publication status | Published - 1986 Mar |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Bulletin of Centre for Informatics (Waseda University)*(Vol. 3, pp. 88-91, 118)

**STEADY-STATE ANALYSIS OF NONLINEAR OSCILLATORY CIRCUITS BY A SIMPLICIAL HOMOTOPY METHOD.** / Yamamura, Kiyotaka; Katayama, Etsuko; Oishi, Shinichi; Horiuchi, Kazuo.

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

*Bulletin of Centre for Informatics (Waseda University).*vol. 3, pp. 88-91, 118.

}

TY - CHAP

T1 - STEADY-STATE ANALYSIS OF NONLINEAR OSCILLATORY CIRCUITS BY A SIMPLICIAL HOMOTOPY METHOD.

AU - Yamamura, Kiyotaka

AU - Katayama, Etsuko

AU - Oishi, Shinichi

AU - Horiuchi, Kazuo

PY - 1986/3

Y1 - 1986/3

N2 - An important problem in the computer-aided design of electronic circuits is the determination of the steady-state periodic response of nonlinear oscillatory systems. The Newton method is one of the most well-known methods for the steady-state analysis. However, it often fails to converge unless the initial estimate is appropriately given. In this short note, a simplicial homotopy method is applied for computing the steady-state solution of nonlinear oscillatory systems. It is shown by numerical examples that the region of convergence of the simplicial homotopy method is considerably wider than that of the Newton method. Furthermore, a new strategy of mesh refinement is also introduced in order to improve the computational efficiency of the proposed method.

AB - An important problem in the computer-aided design of electronic circuits is the determination of the steady-state periodic response of nonlinear oscillatory systems. The Newton method is one of the most well-known methods for the steady-state analysis. However, it often fails to converge unless the initial estimate is appropriately given. In this short note, a simplicial homotopy method is applied for computing the steady-state solution of nonlinear oscillatory systems. It is shown by numerical examples that the region of convergence of the simplicial homotopy method is considerably wider than that of the Newton method. Furthermore, a new strategy of mesh refinement is also introduced in order to improve the computational efficiency of the proposed method.

UR - http://www.scopus.com/inward/record.url?scp=0022685710&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022685710&partnerID=8YFLogxK

M3 - Chapter

VL - 3

SP - 88-91, 118

BT - Bulletin of Centre for Informatics (Waseda University)

ER -