INVERSELY UNSTABLE SOLUTIONS OF TWO-DIMENSIONAL SYSTEMS ON GENUS-p SURFACES AND THE TOPOLOGY OF KNOTTED ATTRACTORS

DOI10.1142/S0218127408020173zbMath1143.37318arXiv0706.2397OpenAlexW2079635313MaRDI QIDQ3520759

Yi Song, Stephan Paul Banks

Publication date: 26 August 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.2397

zbMATH Keywords

periodic orbitautomorphic functions\(C^\infty\) functionsinversely unstable solutionknotted attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Cites Work

• Unnamed Item
• The effect of inversely unstable solutions on the attractor of the forced pendulum equation with friction
• Transformation theory of non-linear differential equations of the second order
• THREE-DIMENSIONAL STRATIFICATIONS, KNOTS AND BIFURCATIONS OF TWO-DIMENSIONAL DYNAMICAL SYSTEMS
• ELLIPTIC AND AUTOMORPHIC DYNAMICAL SYSTEMS ON SURFACES
• Differentiable dynamical systems
• There are No New Anosov Diffeomorphisms on Tori

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