Dynamic Transition Theory

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 2 in Phase Transition Dynamics, 2014, pp 25-121 from Springer

Abstract: Abstract This chapter introduces the dynamic transition theory for nonlinear dissipative systems developed recently by the authors. The main focus is the derivation of a general principle, Principle 1, on dynamic transitions for dissipative systems and a study of the types and structure of dynamic transitions. Our work is based on Philosophy 2, which states that we should search for a complete set of transition states.

Keywords: Singular Separation; Center Manifold Function; Attractor Bifurcation; Straight Line Orbits; Parameterized Vector Fields (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4614-8963-4_2

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