Stability of invariant curves in four-dimensional reversible mappings near 1:1 resonance

DOI10.1016/0167-2789(93)90149-UzbMath0772.58042OpenAlexW2066825662MaRDI QIDQ1803790

Yanyan Li

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90149-u

zbMATH Keywords

stabilityinvariant curvesellipticityNeimark-Sacker bifurcationreversible vector fieldsreversible Hopf bifurcationreversible maps

Mathematics Subject Classification ID

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

Related Items

KAM theorems for the product of two involutions of different types, The iteration-approximation decoupling in the reversible KAM theory, Non-algebraic integrability of the Chew-Low reversible dynamical system of the Cremona type and the relation with the 7th Hilbert problem (non-resonant case), Fourth order resonant collisions of multipliers in reversible maps: period-4 orbits and invariant curves, Quasi-reversible instabilities of closed orbits, Resonant collisions in four-dimensional reversible maps: a description of scenarios

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