Dynamical Transitions in Chemistry and Biology

Tian Ma and Shouhong Wang
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Tian Ma: Sichuan University, Department of Mathematics
Shouhong Wang: Indiana University, Department of Mathematics

Chapter Chapter 6 in Phase Transition Dynamics, 2014, pp 447-525 from Springer

Abstract: Abstract Chemical reaction systems and biological models were among the first dissipative systems described by the Belgian school; see, e.g., (Prigogine and Lefever 1968; Glansdorff and Prigogine 1971). Among many other features, dissipative systems in nature demonstrate self-organized and self-assembled structures; see, for example, (Nicolis and Prigogine 1977; Kapral and Showalter 1995; Pismen 2006; Desai and Kapral 2009; Cross and Hohenberg 1993; Swinney et al. 1990; Murray 2002).

Keywords: Pattern Formation; Dirichlet Boundary Condition; Dynamic Transition; Neumann Boundary Condition; Global Attractor (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4614-8963-4_6

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