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A symmetry preserving reduction scheme for periodic points near a fixed point of families of diffeomorphisms with a compact symmetry group

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Organization
Abstract
We present a generalized Lyapunov Schmidt (LS) reduction scheme for diffeomorphisms on a finite dimensional real vector space V which transform tinder real one-dimensional characters X of an arbitrary compact group with linear action on V. Moreover we prove a normal form theorem, such that the normal form still has the desirable transformation properties with respect to X.
Keywords
(reversing-) symmetry, normal form, Lyapunov Schmidt reduction, linear action, character, equivariance, DYNAMICAL-SYSTEMS, BIFURCATIONS

Citation

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Chicago
Ciocci, Maria-Cristina, and Johan Noldus. 2006. “A Symmetry Preserving Reduction Scheme for Periodic Points Near a Fixed Point of Families of Diffeomorphisms with a Compact Symmetry Group.” International Journal of Bifurcation and Chaos 16 (9): 2545–2557.
APA
Ciocci, M.-C., & Noldus, J. (2006). A symmetry preserving reduction scheme for periodic points near a fixed point of families of diffeomorphisms with a compact symmetry group. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 16(9), 2545–2557.
Vancouver
1.
Ciocci M-C, Noldus J. A symmetry preserving reduction scheme for periodic points near a fixed point of families of diffeomorphisms with a compact symmetry group. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. 2006;16(9):2545–57.
MLA
Ciocci, Maria-Cristina, and Johan Noldus. “A Symmetry Preserving Reduction Scheme for Periodic Points Near a Fixed Point of Families of Diffeomorphisms with a Compact Symmetry Group.” INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 16.9 (2006): 2545–2557. Print.
@article{1200762,
  abstract     = {We present a generalized Lyapunov Schmidt (LS) reduction scheme for diffeomorphisms on a finite dimensional real vector space V which transform tinder real one-dimensional characters X of an arbitrary compact group with linear action on V. Moreover we prove a normal form theorem, such that the normal form still has the desirable transformation properties with respect to X.},
  author       = {Ciocci, Maria-Cristina and Noldus, Johan},
  issn         = {0218-1274},
  journal      = {INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS},
  keyword      = {(reversing-) symmetry,normal form,Lyapunov Schmidt reduction,linear action,character,equivariance,DYNAMICAL-SYSTEMS,BIFURCATIONS},
  language     = {eng},
  number       = {9},
  pages        = {2545--2557},
  title        = {A symmetry preserving reduction scheme for periodic points near a fixed point of families of diffeomorphisms with a compact symmetry group},
  volume       = {16},
  year         = {2006},
}

Web of Science
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