AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

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

View full volume as PDF

Read more about this volume

Table of Contents

Download chapters as PDF

Front/Back Matter

• View this volume's front and 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