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Partial decoupling of semidynamical system in metric space. (English) Zbl 0907.39024
The paper deals with continuous and possibly noninvertible maps
\((x,y,\lambda) \mapsto (f(x,y,\lambda),g(x,y,\lambda),\sigma(\lambda))\) in a complete metric space. The main result of the author is that there exists a Lipschitzian with respect to the second variable map \(q\) such that the above map is topologically conjugate to the map \((x,y,\lambda) \mapsto (f_0(x,\lambda),g(q(x,y,\lambda),y,\lambda),\sigma(\lambda))\).
Reviewer: E.Minchev (Sofia)

MSC:
39B52 Functional equations for functions with more general domains and/or ranges
37-XX Dynamical systems and ergodic theory
54H20 Topological dynamics (MSC2010)
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