Normalizable, Integrable, and Linearizable Saddle Points for Complex Quadratic Systems in Export

@article{citeulike:1443567, abstract = {In this paper, we consider complex differential systems in the neighborhood of a singular point with eigenvalues in the ratio 1 : −λ with λ ∈ . We address the questions of orbital normalizability, normalizability (i.e., convergence of the normalizing transformation), integrability (i.e., orbital linearizability), and linearizability of the system. As for the experimental part of our study, we specialize to quadratic systems and study the values of λ for which these notions are distinct. For this purpose we give several tools for demonstrating normalizability, integrability, and linearizability.}, author = {Christopher, C. and Mardesic, P. and Rousseau, C.}, citeulike-article-id = {1443567}, citeulike-linkout-0 = {http://dx.doi.org/10.1023/A:1024643521094}, day = {21}, doi = {10.1023/A:1024643521094}, journal = {Journal of Dynamical and Control Systems}, keywords = {abelian\_integrals, foliations, normal\_forms, pseudoabelian\_integrals}, month = {July}, number = {3}, pages = {311--363}, posted-at = {2007-07-09 08:07:21}, priority = {0}, title = {Normalizable, Integrable, and Linearizable Saddle Points for Complex Quadratic Systems in}, url = {http://dx.doi.org/10.1023/A:1024643521094}, volume = {9}, year = {2003} }

TY - JOUR ID - citeulike:1443567 L3 - citeulike-article-id:1443567 N2 - In this paper, we consider complex differential systems in the neighborhood of a singular point with eigenvalues in the ratio 1 : −λ with λ ∈ . We address the questions of orbital normalizability, normalizability (i.e., convergence of the normalizing transformation), integrability (i.e., orbital linearizability), and linearizability of the system. As for the experimental part of our study, we specialize to quadratic systems and study the values of λ for which these notions are distinct. For this purpose we give several tools for demonstrating normalizability, integrability, and linearizability. IS - 3 JF - Journal of Dynamical and Control Systems EP - 363 TI - Normalizable, Integrable, and Linearizable Saddle Points for Complex Quadratic Systems in VL - 9 SP - 311 KW - abelian_integrals KW - foliations KW - normal_forms KW - pseudoabelian_integrals AU - Christopher, C AU - Mardesic, P AU - Rousseau, C PY - 2003/07/21/ UR - http://dx.doi.org/10.1023/A:1024643521094 ER -