A bifurcation diagram is itself a kind of stable equilibrium
Abstract biological systems as sequential machines
The study reveals a significant connection between (M,R)-systems and sequential machines, reformulating the theory to explore their intertransformability under environmental changes, emphasizing strong connectedness and proposing avenues for further research
Abstract biological systems as sequential machines- III Some algebraic aspects
The totality of (M,R)-systems naturally forms a category, as demonstrated through their relationship with sequential machines
Abstract biological systems as sequential machines II- Strong connectedness and reversibility
The study reveals that (M,R)-systems, when viewed as sequential machines, often lack strong connectedness due to a small input alphabet relative to their state size, leading to the conclusion that most environmental structural changes may be irreversible or that many mappings in their formation are not physically realizable
A Comment on Structural Stability
The concept of structural stability in science is challenging to connect with mathematical notions like genericity or transversality due to inherent biases in the mathematical representation of physical systems, as demonstrated by the differing behaviors of real and imaginary eigenvalues in linear systems
No results yet, but the collection is still growing ;)
