Families of periodic orbits: Virtual periods and global continuability

DOI10.1016/0022-0396(84)90088-3zbMath0576.34038OpenAlexW2003529277MaRDI QIDQ1065234

James A. Yorke, Kathleen T. Alligood

Publication date: 1984

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90088-3

zbMATH Keywords

periodic orbitsglobal continuability

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (10)

Global Hopf bifurcation of two-parameter flows ⋮ Families of periodic orbits: closed 1-forms and global continuability ⋮ Unnamed Item ⋮ Snakes: oriented families of periodic orbits, their sources, sinks, and continuation ⋮ Global Hopf bifurcation in the ZIP regulatory system ⋮ Global Hopf bifurcation in networks with fast feedback cycles ⋮ Cascades of period-doubling bifurcations: A prerequisite for horseshoes ⋮ Global Families of Limit Cycles of Planar Analytic Systems ⋮ On the continuability of periodic orbits of parametrized three- dimensional differential equations ⋮ Period doubling cascades of attractors: A prerequisite for horseshoes

Cites Work

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• On the continuability of periodic orbits of parametrized three- dimensional differential equations
• Snakes: oriented families of periodic orbits, their sources, sinks, and continuation
• Families of periodic orbits: local continuability does not imply global continuability
• The implicit function theorem and the global methods of cohomology
• On an approximation theorem of Kupka and Smale
• Global Bifurcations of Periodic Orbits
• Global Hopf bifurcation from a multiple eigenvalue

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