Dynamical Transitions in Chemistry and Biology

  • Tian Ma
  • Shouhong Wang


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).


Pattern Formation Dirichlet Boundary Condition Dynamic Transition Neumann Boundary Condition Global Attractor 
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Copyright information

© Springer Science+Business Media, LLC 2014

Authors and Affiliations

  • Tian Ma
    • 1
  • Shouhong Wang
    • 2
  1. 1.Department of MathematicsSichuan UniversityChengduPeople’s Republic of China
  2. 2.Department of MathematicsIndiana UniversityBloomingtonUSA

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