On the stability of periodic orbits of two-dimensional mappings

DOI10.1063/1.525159zbMath0472.58014OpenAlexW2027319674MaRDI QIDQ3925583

Robert H. G. Helleman, Tassos C. Bountis

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525159

zbMATH Keywords

M-periodic orbitstability of periodic orbits of area-preserving and area-destroying two dimensional mappings

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Cites Work

• On the Ising model in the presence of magnetic field
• A two-dimensional mapping with a strange attractor
• A nonlinear oscillator with a strange attractor
• Simple mathematical models with very complicated dynamics
• Two-Dimensional Measure-Preserving Mappings
• Numerical study of quadratic area-preserving mappings
• On the Stability of Periodic Orbits for Nonlinear Oscillator Systems in Regions Exhibiting Stochastic Behavior