Normal Forms and Homoclinic Chaos FROM THE PUBLISHER
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. Specific topics covered in this volume include normal forms for dissipative, conservative, and reversible vector fields, and for symplectic maps; the effects of symmetry on normal forms; the persistence of homoclinic cycles; symmetry-breaking, both spontaneous and induced; mode interactions; resonances; intermittency; numerical computation of orbits in phase space; applications to flow-induced vibrations and to mechanical and structural systems; general methods for calculation of normal forms; and chaotic dynamics arising from normal forms. Of the 32 presentations given at this workshop, 14 of them are represented by papers in this volume.
FROM THE CRITICS
Booknews
Knits together the local and global analysis of dynamical systems by focusing on normal forms and the recently discovered homoclinic cycles that may arise in such forms. Considers both dissipative and conservative, and both discrete and continuous systems, as well as perturbed systems that cross these boundaries. Among the topics are the effects of symmetry on normal forms, mode interactions, resonances, intermittency, and numerical computation of orbits in phase space. The 14 papers were selected from the 32 presentations at a November 1992 workshop in Waterloo, Canada. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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