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| DOI | 10.1103/PhysRevE.105.034206 |
| Oscillatory periodic pattern dynamics in hyperbolic reaction-advection-diffusion models | |
| Consolo, Giancarlo; Curro, Carmela; Grifo, Gabriele; Valenti, Giovanna | |
| 通讯作者 | Consolo, G |
| 来源期刊 | PHYSICAL REVIEW E
 |
| ISSN | 2470-0045 |
| EISSN | 2470-0053 |
| 出版年 | 2022 |
| 卷号 | 105期号:3 |
| 英文摘要 | In this work we consider a quite general class of two-species hyperbolic reaction-advection-diffusion system with the main aim of elucidating the role played by inertial effects in the dynamics of oscillatory periodic patterns. To this aim, first, we use linear stability analysis techniques to deduce the conditions under which wave (or oscillatory Turing) instability takes place. Then, we apply multiple-scale weakly nonlinear analysis to determine the equation which rules the spatiotemporal evolution of pattern amplitude close to criticality. This investigation leads to a cubic complex Ginzburg-Landau (CCGL) equation which, owing to the functional dependence of the coefficients here involved on the inertial times, reveals some intriguing consequences. To show in detail the richness of such a scenario, we present, as an illustrative example, the pattern dynamics occurring in the hyperbolic generalization of the extended Klausmeier model. This is a simple two-species model used to describe the migration of vegetation stripes along the hillslope of semiarid environments. By means of a thorough comparison between analytical predictions and numerical simulations, we show that inertia, apart from enlarging the region of the parameter plane where wave instability occurs, may also modulate the key features of the coherent structures, solution of the CCGL equation. In particular, it is proven that inertial effects play a role, not only during transient regime from the spatially-homogeneous steady state toward the patterned state, but also in altering the amplitude, the wavelength, the angular frequency, and even the stability of the phase-winding solutions. |
| 类型 | Article |
| 语种 | 英语 |
| 开放获取类型 | hybrid, Green Submitted |
| 收录类别 | SCI-E |
| WOS记录号 | WOS:000788331700010 |
| WOS关键词 | GINZBURG-LANDAU EQUATION ; BANDED VEGETATION ; KLAUSMEIER MODEL ; IRREVERSIBLE THERMODYNAMICS ; SYSTEMS ; FRONTS ; DESERTIFICATION ; ECOSYSTEMS ; MODULATION ; TRANSITION |
| WOS类目 | Physics, Fluids & Plasmas ; Physics, Mathematical |
| WOS研究方向 | Physics |
| 资源类型 | 期刊论文 |
| 条目标识符 | http://119.78.100.177/qdio/handle/2XILL650/393936 |
| 推荐引用方式 GB/T 7714 | Consolo, Giancarlo,Curro, Carmela,Grifo, Gabriele,et al. Oscillatory periodic pattern dynamics in hyperbolic reaction-advection-diffusion models[J],2022,105(3). |
| APA | Consolo, Giancarlo,Curro, Carmela,Grifo, Gabriele,&Valenti, Giovanna.(2022).Oscillatory periodic pattern dynamics in hyperbolic reaction-advection-diffusion models.PHYSICAL REVIEW E,105(3). |
| MLA | Consolo, Giancarlo,et al."Oscillatory periodic pattern dynamics in hyperbolic reaction-advection-diffusion models".PHYSICAL REVIEW E 105.3(2022). |
| 条目包含的文件 | 条目无相关文件。 | |||||
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