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Normal Forms and Homoclinic Chaos
About this Title
William F. Langford, University of Guelph, Guelph, ON, Canada and Wayne K. Nagata, University of British Columbia, Vancouver, BC, Canada, Editors
Publication: Fields Institute Communications
Publication Year:
1995; Volume 4
ISBNs: 978-0-8218-0326-4 (print); 978-1-4704-2972-0 (online)
DOI: https://doi.org/10.1090/fic/004
MathSciNet review: MR1350540
MSC: Primary 58-06; Secondary 34-06, 58F36, 58Fxx
ReadershipTable of Contents
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Front/Back Matter
Chapters
- H. Broer, Shui-Nee Chow, Yong Kim and G. Vegter – The Hamiltonian double-zero eigenvalue
- Pascal Chossat and Michael Field – Geometric analysis of the effect of symmetry breaking perturbations on an $O(2)$ invariant homoclinic cycle
- Robert Corless – Bifurcation in a flow-induced vibration model
- Thomas Bridges, Richard Cushman and Robert Mackay – Dynamics near an irrational collision of Eigenvalues for symplectic mappings
- Martin Golubitsky, Jerrold Marsden, Ian Stewart and Michael Dellnitz – The constrained Liapunov-Schmidt procedure and periodic orbits
- Gyorgy Haller and Stephen Wiggins – Whiskered tori and chaos in resonant Hamiltonian normal forms
- Heinz Hanßmann – Normal forms for perturbations of the Euler top
- Brian Hassard and Jianhe Zhang – A homoclinic orbit of the Lorenz system by precise shooting
- Ale Homburg – Homoclinic intermittency
- Gerard Iooss – A codimension $2$ bifurcation for reversible vector fields
- Martin Krupa and Ian Melbourne – Nonasymptotically stable attractors in $O(2)$ mode interactions
- Richard McGehee and Bruce Peckham – Determining the global topology of resonance surfaces for periodically forced oscillator families
- N. Namachchivaya and Naresh Malhotra – Normal forms and homoclinic chaos: Application to structural systems
- A Vanderbauwhede and Jan-Cees Van Der Meer – A general reduction method for periodic solutions near equilibria in Hamiltonian systems