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A numerical study of infinitely renormalizable area-preserving maps
renormalizable area-preserving maps numerical study Dynamical Systems
2011/9/14
Abstract: It has been shown in (Gaidashev et al, 2010) and (Gaidashev et al, 2011) that infinitely renormalizable area-preserving maps admit invariant Cantor sets with a maximal Lyapunov exponent equa...
Invariant Measures with Bounded Variation Densities for Piecewise Area Preserving Maps
Bounded Variation Piecewise Area Preserving Maps Dynamical Systems
2011/8/30
Abstract: We investigate the properties of absolutely continuous invariant probability measures (ACIPs) for piecewise area preserving maps (PAPs) on $\mathbb{R}^d$. This class of maps unifies piecewis...
Period Doubling Renormalization for Area-Preserving Maps and Mild Computer Assistance in Contraction Mapping Principle
Period Doubling Renormalization Area-Preserving Maps Mild Computer Assistance
2010/11/29
A universal period doubling cascade analogous to the famous Feigenbaum-Coullet-Tresser period doubling has been observed in area-preserving maps of R2. Existence of the “universal” map with orbits of ...
Controlling Strong Chaos by an Aperiodic Perturbation
in Area Preserving Maps
controlling chaos area preserving map regular motion
2007/8/15
2002Vol.37No.5pp.549-556DOI:
Controlling Strong Chaos by an Aperiodic Perturbation
in Area Preserving Maps
XU Hai-Bo, WANG Guang-Rui, and CHEN Shi-Gang
Institute of Appl...