Symmetries and reversing symmetries of area-preserving polynomial mappings in generalised standard form

DOI10.1016/S0378-4371(02)01321-3zbMath1001.57054arXivmath/0206096MaRDI QIDQ1847408

John A. G. Roberts, Michael Baake

Publication date: 26 November 2002

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206096

zbMATH Keywords

automorphism groupnormal formsamalgamated free product structure

Mathematics Subject Classification ID

Compact groups of homeomorphisms (57S10)

Related Items (3)

Reversible maps and their symmetry lines ⋮ The structure of reversing symmetry groups ⋮ Reversible polynomial automorphisms of the plane: the involutory case

Cites Work

• Time-reversal symmetry in dynamical systems: a survey
• Growth and integrability in the dynamics of mappings
• Polynomial diffeomorphisms of \({\mathbb{C}}^2\). V: Critical points and Lyapunov exponents
• Generalized Hénon maps: The cubic diffeomorphisms of the plane
• Symmetries and reversing symmetries of toral automorphisms
• Inverse Conjugacies and Reversing Symmetry Groups
• Dynamical properties of plane polynomial automorphisms
• Integrable maps
• Reversing symmetries in dynamical systems
• Reversing symmetry group of and matrices with connections to cat maps and trace maps
• Numerical study of quadratic area-preserving mappings
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