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Bifurcation Theory and Bistability
2013In this chapter, we will recapitulate the essential concepts, definitions and theorems of the Lyapunov and Andronov stability theories of dynamical systems. The global aim is to prepare the reader for the mathematical abstraction of biological switches and hysteresis phenomena.
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1983
The word bifurcation means division into two and is used in a wide sense to indicate every qualitative topological metamorphosis of a picture under the variation of parameters on which the object being studied depends. The objects can be diverse: for example, real or complex curves or surfaces, functions or mappings, manifolds or fiber bundles, vector ...
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The word bifurcation means division into two and is used in a wide sense to indicate every qualitative topological metamorphosis of a picture under the variation of parameters on which the object being studied depends. The objects can be diverse: for example, real or complex curves or surfaces, functions or mappings, manifolds or fiber bundles, vector ...
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