Nonlinear behaviors in an extended medium : complex hysteresis in Ginzburg-Landau system = 확장매질에서의 비선형 거동 : 긴즈버그-란다우 계에서의 복잡이력현상complex hysteresis in Ginzburg-Landau system

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We analyze dynamics of the complex Ginzburg-Landau equation by sequential reduction. First the complex Ginzburg-Landau equation is reduced into a high-dimensional ordinary differential equation by proper mode truncation, and analyzed with varying control parameters. The parameter representing energy change determines the stability of single-lobed tori, and thus it crucially affects the destabilizing route of periodicity. Various features occur in the bifurcation sequences including complex hysteresis. A simple hysteresis refers to subcritical transitions between two different dynamical phases at two different values of a control parameter in a simple dynamical system. In contrast to such simple hysteresis, we report here a more complex form where more than two different dynamical phases are participating in the process. One-dimensional return maps are used to investigate the basic characteristics of this system.
Advisors
Moon, Hie-Taeresearcher문희태researcher
Description
한국과학기술원 : 물리학과,
Publisher
한국과학기술원
Issue Date
2006
Identifier
258059/325007  / 020025133
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 물리학과, 2006.8, [ iv, 68 p. ]

Keywords

Ginzburg-Landau equation; 준주기성; hysteresis; quasiperiodicity; 긴즈버그-란다우 방정식; 이력현상

URI
http://hdl.handle.net/10203/47397
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=258059&flag=dissertation
Appears in Collection
PH-Theses_Ph.D.(박사논문)
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