Develops an axiomatic joint perturbation framework and proves persistence of optimizing periodic orbits for Axiom A diffeomorphisms with no-cycle property, hyperbolic rational maps, real quadratics, and C^r one-dimensional maps.
Shen , Weixiao, and van Strien, S
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Joint typical periodic optimization: systems with stable hyperbolicity
Develops an axiomatic joint perturbation framework and proves persistence of optimizing periodic orbits for Axiom A diffeomorphisms with no-cycle property, hyperbolic rational maps, real quadratics, and C^r one-dimensional maps.