A Mechanism of the Generation of Chaotic Oscillations in a Modified BVP Equation and its Forced System

• TSUMOTO K.

  Faculty of Engineering, the University of Tokushima

• YOSHINAGA T.

  Faculty of Engineering, the University of Tokushima

• KAWAKAMI H.

  Faculty of Engineering, the University of Tokushima

Bibliographic Information

Other Title

• 拡張BVP方程式およびその強制振動系にみられるカオス振動の発生機構

Abstract

In this report, we study bifurcations of periodic solutions in a modified BVP equation and its forced system. We investigate a mechanism of the generation of oscillatory phenomena in the autonomous system. We show that the winding number of limit cycle monotonously increases by a homoclinic orbit chain. Futhermore we consider the firing rate of attracting wave forms observed in the system. By calculating bifurcation of the forced system, we show that there is a universal pattern variation in qualitative wave forms of stable oscillations.

Journal

• IEICE technical report. Nonlinear problems

  IEICE technical report. Nonlinear problems 97 (531), 9-16, 1998-02-06

  The Institute of Electronics, Information and Communication Engineers

Keywords

• homoclinic chain
• homoclinic orbit
• limit cycle
• bifurcation
• nonlinear circuit

Details

• CRID: 1571135652339107840
• NII Article ID: 110003291612
• NII Book ID: AN10060800
• Text Lang: ja
• Data Source:
  • CiNii Articles