Bifurcation Theory and Bistability
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In 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. Furthermore, the expected readership, which are students and researchers interested in mathematical modeling of biological processes, will benefit in general from this chapter since it provides the essence of stability of dynamical systems in a brief and precise way.
KeywordsVector Field Periodic Orbit Equilibrium Point Stable Manifold Bifurcation Theory
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