TITLE

Quasi-periodic spiral tip trajectories in a parametrically modulated Ginzburg-Landau equation

AUTHOR(S)
Lee, Jysoo; Lee, Kyoung J.
PUB. DATE
February 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 501 Issue 1, p53
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Spiral waves are observed in many different spatially extended systems with oscillatory, excitable or bistable nature. The interaction of spiral waves with extrinsic perturbation is an important, but not fully resolved, issue. We study the effect of parametric modulations on a simple spiral shaped domain wall that forms in a model system described by a Ginzburg-Landau equation. The local dynamics of the unperturbed system is basically bistable, and the patterns that arise in the system consist of two stable domains separated by bloch domain walls. Periodic modulations on two parameters of the equation cause the tip of a spiral meander forming a complex quasi-periodic trajectory. No evidence of frequency-locking is observed. A simple argument for the unusual shape of tip trajectories is presented. © 2000 American Institute of Physics.
ACCESSION #
6028286

 

Related Articles

  • Wave Transformation by a Vertical Barrier Between a Single-Layer Fluid and a Two-Layer Fluid. Lee, M M; Chwang, A T // Proceedings of the Institution of Mechanical Engineers -- Part C;2000, Vol. 214 Issue 6, p759 

    The reflection and transmission of water waves by a vertical barrier between a homogeneous fluid and a two-layer fluid are investigated for two different types of barrier: type I is a surface-piercing barrier and type II a bottom-standing barrier. For a type I barrier, the lower-layer fluid is...

  • Observed Propagation and Structure of the 33-h Atmospheric Kelvin Wave. Matthews, Adrian J.; Madden, Roland A. // Journal of the Atmospheric Sciences;11/1/2000, Vol. 57 Issue 21, p3488 

    Presents information on a study which examined the structure of the 33-hour Kelvin wave. Definition of the 33-hour Kelvin wave; Processes involved in the analysis of the wave; Discussion of the results.

  • Stability of a channel flow subject to wall blowing and suction in the form of a traveling wave. Changhoon Lee; Taegee Min; Kim, John // Physics of Fluids;Oct2008, Vol. 20 Issue 10, p101513 

    Inspired by the recent finding by Min et al. [J. Fluid Mech. 558, 309 (2006)], the stability of a channel flow subject to wall blowing and suction in the form of a traveling wave is investigated by combined use of the Floquet analysis, direct numerical simulation, and singular value...

  • A Macro Model of Squeeze-Film Air Damping in the Free-Molecule Regime. Gang Hong; Wenjing Ye // AIP Conference Proceedings;5/21/2010, Vol. 1233 Issue 1, p219 

    An accurate macro model for free-molecule squeeze-film air damping on micro plate resonators is present. This model relates air damping directly with device dimensions and operation parameters and therefore provides an efficient tool for the design of high-performance micro resonators. The...

  • Bursting characteristics of a neuron model based on a concept of potential with active areas. Nakajima, Koji; Suenaga, Shinya // Chaos;Jun2008, Vol. 18 Issue 2, p023120 

    We present various bursting wave forms that are obtained from a simple model of the Hodgkin–Huxley type. The model is a typical example whose characteristics can be discussed through the concept of potential with active areas. A potential function is able to provide a global landscape for...

  • Localized modulated waves in microtubules. Zdravković, Slobodan; Bugay, Aleksandr N.; Aru, Guzel F.; Maluckov, Aleksandra // Chaos;Jun2014, Vol. 24 Issue 2, p1 

    In the present paper, we study nonlinear dynamics of microtubules (MTs). As an analytical method, we use semi-discrete approximation and show that localized modulated solitonic waves move along MT. This is supported by numerical analysis. Both cases with and without viscosity effects are studied.

  • PROPAGATION OF THE INITIAL TRANSIENT NOISE FROM AN IMPACTED PLATE.  // Noise & Vibration Bulletin;Jul2007, p203 

    The article presents a summary of a study on the propagation of the initial noise from an impacted plate by Annie Ross et al published in the "Journal of Sound & Vibration." It examines the means of propagation of the near field initial transient noise of an impacted plate. It shows that on the...

  • HIGH-FREQUENCY MEASUREMENTS OF BLAST WAVE PROPAGATION.  // Noise & Vibration Bulletin;Jan2007, p19 

    The article focuses on measurements of blast wave propagation. It is said that the measurements were done with a wide-bandwidth capacitor microphone for comparison with conventional 3.175-millimeter (mm) or 1/8-inch (in) microphones. It was found that such microphone did not have enough...

  • Fully kinetic simulation of dust-ion acoustic waves: Landau damping and dust concentration effect. Jenab, S. M. Hosseini; Kourakis, I.; Abbasi, H. // AIP Conference Proceedings;11/28/2011, Vol. 1397 Issue 1, p279 

    A fully kinetic (Vlasov) numerical scheme for dusty plasma dynamics is presented. The parametric dependence of Landau damping of dust-ion acoustic waves on the electron-to-ion temperature ratio and dust concentration is discussed.

  • The effect of an acoustic field on a secondary convective flow in a layer. Ivantsov, A.; Shklyaev, S. // Fluid Dynamics;Jul2006, Vol. 41 Issue 4, p668 

    The effect of a traveling sonic wave on a convective flow in a horizontal layer with a fixed linear temperature distribution on the boundaries is investigated. Convective rolls with axes parallel to the basic flow (lengthwise rolls) are considered. On the basis of a weakly nonlinear analysis, it...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics