Hopf Bifurcation in Coastal Ecogeosystems

详细信息    查看全文

• 作者：I. T. Selezov ; Iu. G. Kryvonos ; V. M. Moskovkin
• 刊名：Cybernetics and Systems Analysis
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：52
• 期：4
• 页码：546-554
• 全文大小：130 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Systems Theory and Control
  Artificial Intelligence and Robotics
  Processor Architectures
  Software Engineering, Programming and Operating Systems
  Russian Library of Science
  
• 出版者：Springer New York
• ISSN：1573-8337
• 卷排序：52

文摘

The qualitative theory of differential equations (catastrophe theory) is used to analyze the optimal preservation of the ecological state of an object. As the object, we consider a seacoast that is subject to permanent destruction by waves and is fed to maintain its initial state. We model the maintenance of the equilibrium state of ecological system in some optimal mode. Unlike the well-known approaches, such model takes into account essentially nonlinear effects and control by means of beach feed, which can be interpreted as feedback. The analysis is carried out by the methods from stability theory. Characteristics of the limit cycle are obtained and its stability is analyzed.KeywordsHopf bifurcationecogeosystemstabilitycatastrophe theory