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- catalog 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. 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.".
- catalog contributor b8739443.
- catalog contributor b8739444.
- catalog contributor b8739445.
- catalog created "c1995.".
- catalog date "1995".
- catalog date "c1995.".
- catalog dateCopyrighted "c1995.".
- catalog description "Includes bibliographical references.".
- catalog description "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.".
- catalog description "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.".
- catalog description "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.".
- catalog extent "xiii, 294 p. :".
- catalog identifier "0821803263".
- catalog isPartOf "Fields Institute communications / The Fields Institute for Research in Mathematical Sciences ; v. 4".
- catalog isPartOf "Fields Institute communications ; v. 4.".
- catalog issued "1995".
- catalog issued "c1995.".
- catalog language "eng".
- catalog publisher "Providence, R.I. : American Mathematical Society,".
- catalog subject "515/.352 20".
- catalog subject "Chaotic behavior in systems Congresses.".
- catalog subject "Differentiable dynamical systems Congresses.".
- catalog subject "Normal forms (Mathematics) Congresses.".
- catalog subject "QA614.8 .N67 1995".
- catalog tableOfContents "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.".
- catalog title "Normal forms and homoclinic chaos / William F. Langford, Wayne Nagata, editors.".
- catalog type "Conference proceedings. fast".
- catalog type "text".