Title: Normal forms and homoclinic chaos /
Authors: Langford, W. F.; Nagata, Wayne.
Publisher: American Mathematical Society,
Year: 1995
Subjects: Differentiable dynamical systems Congresses.; Chaotic behavior in systems Congresses; Normal forms (Mathematics) Congresses.
Abstract: This volume presents new research on normal forms, symmetry, homoclinic cycles, and chaos, from the Workshop on Normal Forms and Homoclinic Chaos held during The Fields Institute Program Year on Dynamical Systems and Bifurcation Theory in November 1992, in Waterloo, Canada. The workshop bridged the local and global analysis of dynamical systems with emphasis on normal forms and the recently discovered homoclinic cycles which may arise in normal forms.
Contents: The Hamiltonian Double-Zero Eigenvalue / H.W. Broer, S.-N. Chow, Y.-I. Kim and G. Vegter -- Geometric analysis of the effect of symmetry breaking perturbations on an O(2) invariant homoclinic cycle / Pascal Chossat and Mike Field -- Bifurcation in a Flow-Induced Vibration Model / Robert M. Corless -- Dynamics Near an Irrational Collision of Eigenvalues for Symplectic Mappings / T.J. Bridges, R.H. Cushman and R.S. MacKay -- The Constrained Liapunov-Schmidt Procedure and Periodic Orbits / Martin Golubitsky, Jerrold E. Marsden, Ian Stewart and Michael Dellnitz -- Whiskered tori and chaos in resonant Hamiltonian normal forms / G. Haller and S. Wiggins -- Normal Forms for Perturbations of the Euler Top / Heinz Hanssmann -- A Homoclinic Orbit of the Lorenz System by Precise Shooting / Brian Hassard and Jianhe Zhang -- Homoclinic Intermittency / Ale Jan Homburg -- A Codimension 2 Bifurcation for Reversible Vector Fields / Gerard Iooss.