Matches in SemOpenAlex for { <https://semopenalex.org/work/W4285405379> ?p ?o ?g. }
- W4285405379 endingPage "591" @default.
- W4285405379 startingPage "577" @default.
- W4285405379 abstract "Pattern formation is a natural phenomenon that can be modeled by reaction–diffusion systems. Regular rotating spiral pattern formation and the instability of the spiral dynamics are very closely related to morphogenesis processes, cardiac arrhythmias, and chemical reactions. Since regular rotating spirals can emit periodic traveling waves from their core, hence the analysis of periodic traveling wave solutions of an oscillatory dynamical system is crucial to understand the instability of spiral patterns. To investigate the spiral patterns for chemical reactions, we consider a three-component Brusselator model. We first examine the local behavior of solutions of the model. Then we analyze the occurrence of periodic traveling wave solutions in a two-dimensional parameter plane. Next, we explore the stability outcome of periodic traveling wave solutions. It is observed that periodic traveling wave solutions change their stability, which is the Eckhaus type. The results are justified by a direct numerical simulation in one and two space dimensions. The regular and oscillatory periodic traveling wave solutions are revealed in the one-dimensional space dimension of the model by considering an Eckhaus bifurcation point. Moreover, we illustrate regular rotating spiral waves and the phenomenon for far-field breakup from the spiral waves in the two-dimensional space." @default.
- W4285405379 created "2022-07-14" @default.
- W4285405379 creator A5000902180 @default.
- W4285405379 creator A5035028934 @default.
- W4285405379 creator A5081465773 @default.
- W4285405379 date "2023-01-01" @default.
- W4285405379 modified "2023-09-29" @default.
- W4285405379 title "Spiral patterns and numerical bifurcation analysis in a three-component Brusselator model for chemical reactions" @default.
- W4285405379 cites W1118178983 @default.
- W4285405379 cites W122787279 @default.
- W4285405379 cites W141185090 @default.
- W4285405379 cites W1520014764 @default.
- W4285405379 cites W1909373864 @default.
- W4285405379 cites W1963942260 @default.
- W4285405379 cites W1968059418 @default.
- W4285405379 cites W1972938041 @default.
- W4285405379 cites W1975654459 @default.
- W4285405379 cites W1977031359 @default.
- W4285405379 cites W1977356579 @default.
- W4285405379 cites W1980993579 @default.
- W4285405379 cites W1983714664 @default.
- W4285405379 cites W1985072454 @default.
- W4285405379 cites W1987565368 @default.
- W4285405379 cites W1997277858 @default.
- W4285405379 cites W2000920414 @default.
- W4285405379 cites W2013102543 @default.
- W4285405379 cites W2014661756 @default.
- W4285405379 cites W2023552471 @default.
- W4285405379 cites W2024304660 @default.
- W4285405379 cites W2025261511 @default.
- W4285405379 cites W2033736907 @default.
- W4285405379 cites W2036423516 @default.
- W4285405379 cites W2036956370 @default.
- W4285405379 cites W2037203785 @default.
- W4285405379 cites W2038657224 @default.
- W4285405379 cites W2044569996 @default.
- W4285405379 cites W2048781311 @default.
- W4285405379 cites W2051626126 @default.
- W4285405379 cites W2052404294 @default.
- W4285405379 cites W2061285290 @default.
- W4285405379 cites W2062616395 @default.
- W4285405379 cites W2070405164 @default.
- W4285405379 cites W2077331262 @default.
- W4285405379 cites W2078344772 @default.
- W4285405379 cites W2080950197 @default.
- W4285405379 cites W2085252636 @default.
- W4285405379 cites W2087461910 @default.
- W4285405379 cites W2089927653 @default.
- W4285405379 cites W2089965269 @default.
- W4285405379 cites W2097841374 @default.
- W4285405379 cites W2122612155 @default.
- W4285405379 cites W2122723930 @default.
- W4285405379 cites W2127810086 @default.
- W4285405379 cites W2131747685 @default.
- W4285405379 cites W2263231790 @default.
- W4285405379 cites W2517030463 @default.
- W4285405379 cites W2517612734 @default.
- W4285405379 cites W2592381737 @default.
- W4285405379 cites W2769288541 @default.
- W4285405379 cites W2788542168 @default.
- W4285405379 cites W2806351520 @default.
- W4285405379 cites W2917045932 @default.
- W4285405379 cites W2930506302 @default.
- W4285405379 cites W2969084353 @default.
- W4285405379 cites W3000601613 @default.
- W4285405379 cites W3015101705 @default.
- W4285405379 cites W3045941099 @default.
- W4285405379 cites W3105710497 @default.
- W4285405379 cites W4230604310 @default.
- W4285405379 cites W4281788183 @default.
- W4285405379 cites W98523065 @default.
- W4285405379 cites W2171299534 @default.
- W4285405379 doi "https://doi.org/10.1016/j.matcom.2022.07.008" @default.
- W4285405379 hasPublicationYear "2023" @default.
- W4285405379 type Work @default.
- W4285405379 citedByCount "0" @default.
- W4285405379 crossrefType "journal-article" @default.
- W4285405379 hasAuthorship W4285405379A5000902180 @default.
- W4285405379 hasAuthorship W4285405379A5035028934 @default.
- W4285405379 hasAuthorship W4285405379A5081465773 @default.
- W4285405379 hasConcept C121231716 @default.
- W4285405379 hasConcept C121332964 @default.
- W4285405379 hasConcept C134306372 @default.
- W4285405379 hasConcept C14028793 @default.
- W4285405379 hasConcept C158622935 @default.
- W4285405379 hasConcept C172435161 @default.
- W4285405379 hasConcept C174128100 @default.
- W4285405379 hasConcept C17825722 @default.
- W4285405379 hasConcept C207016750 @default.
- W4285405379 hasConcept C207821765 @default.
- W4285405379 hasConcept C2524010 @default.
- W4285405379 hasConcept C2777485032 @default.
- W4285405379 hasConcept C2777871205 @default.
- W4285405379 hasConcept C2781349735 @default.
- W4285405379 hasConcept C33923547 @default.
- W4285405379 hasConcept C38925971 @default.
- W4285405379 hasConcept C54355233 @default.
- W4285405379 hasConcept C57879066 @default.