DCDIS£ºDynamics of Continuous, Discrete and Impulsive Systems

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Series A: Mathematical Analysis
Volume 8, Number 4 (2001)


TABLE OF CONTENTS

1

Characterizing and Computing Normal Forms Using Lie Transforms: A Survey
A. Algaba, E. Freire and E. Gamero
Abstract | Full Text: [ PDF (321 kB) ] | Pages 449-475
   
2

Normal Form Reduction of Matrices Depending on a Parameter
G. Chen
Abstract | Full Text: [ PDF (210 kB) ] | Pages 477-493
   
3

Precise Computation of Hopf Bifurcation and Two Applications
Z. Du and B. Hassard
Abstract | Full Text: [ PDF (296 kB) ] | Pages 495-518
   
4

General Forms of the Simplest Normal Forms of Bogdanov-Takens Singularities
J. Li, D. Wang and W. Zhang
Abstract | Full Text: [ PDF (190 kB) ] | Pages 519-530
   
5

On the Normal Form of the Triple-Zero Degeneracy with Geometric Multiplicity Two
E. Gamero
Abstract | Full Text: [ PDF (1,081 kB) ] | Pages 531-550
   
6

The Normal Form for a Hopf/Steady-State Mode Interaction on a Hexagonal Lattice
J.H.P. Dawes
Abstract | Full Text: [ PDF (193 kB) ] | Pages 551-558
   
7

Computation of Normal Forms for Higher Dimensional Semi-Simple Systems
Q. C. Zhang, A.Y.T. Leung and J.E. Cooper
Abstract | Full Text: [ PDF (222 kB) ] | Pages 559-574
   
8

The Bifurcation of Heteroclinic Cycles in Systems of Hydrodynamical Type
P. Chossat
Abstract | Full Text: [ PDF (235 kB) ] | Pages 575-590
   
9

Melinikov Analysis for a Dissipative Fifth-Order System
N. Bekki and T. Karakisawa
Abstract | Full Text: [ PDF (311 kB) ] | Pages 591-612
   
10

Convergent Normal Forms, Symmetries, and Applications to Bifurcations
G. Cicogna
Abstract | Full Text: [ PDF (231 kB) ] | Pages 613-626
   
11

Bifurcation and Normal Form of Parametrically Excited Duffing System with Quadratic Damping
H. Yabuno, M. Ishitani and N. Aoshima
Abstract | Full Text: [ PDF (354 kB) ] | Pages 627-638