Bifurcation of the period-4 orbits in the standard map

DOI10.1016/S0960-0779(00)00151-XzbMath0994.37023OpenAlexW2036446840MaRDI QIDQ5950561

Wakako Murakami, Yasuyuki Nomura, Chieko Murakami

Publication date: 2 January 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00151-x

zbMATH Keywords

period doubling bifurcationstandard mapsymmetry structure analysistwo-dimensional area preserving mapping

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical aspects of twist maps (37E40)

Cites Work

• Unnamed Item
• On the symmetry lines of the standard mapping
• Symmetry structure of the hyperbolic bifurcation without reflection of periodic orbits in the standard map
• Coexistence of symmetric periodic points in the standard map

This page was built for publication: Bifurcation of the period-4 orbits in the standard map