Flow curvature manifolds for shaping chaotic attractors: I. Rössler-like systems Export

@article{citeulike:4976211, abstract = {Poincare recognized that phase portraits are mainly structured around fixed points. Nevertheless, the knowledge of fixed points and their properties is not sufficient to determine the whole structure of chaotic attractors. In order to understand how chaotic attractors are shaped by singular sets of the differential equations governing the dynamics, flow curvature manifolds are computed. We show that the time-dependent components of such manifolds structure Rossler-like chaotic attractors and may explain some limitation in the development of chaotic regimes.}, author = {Ginoux, Jean-Marc and Letellier, Christophe}, citeulike-article-id = {4976211}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/1751-8113/42/28/285101}, doi = {10.1088/1751-8113/42/28/285101}, journal = {Journal of Physics A: Mathematical and Theoretical}, keywords = {chaos, dynamics, fractals, geometry}, number = {28}, pages = {285101+}, posted-at = {2009-06-26 15:54:49}, priority = {2}, title = {Flow curvature manifolds for shaping chaotic attractors: I. R\&\#246;ssler-like systems}, url = {http://dx.doi.org/10.1088/1751-8113/42/28/285101}, volume = {42}, year = {2009} }

TY - JOUR ID - citeulike:4976211 L3 - citeulike-article-id:4976211 N2 - Poincare recognized that phase portraits are mainly structured around fixed points. Nevertheless, the knowledge of fixed points and their properties is not sufficient to determine the whole structure of chaotic attractors. In order to understand how chaotic attractors are shaped by singular sets of the differential equations governing the dynamics, flow curvature manifolds are computed. We show that the time-dependent components of such manifolds structure Rossler-like chaotic attractors and may explain some limitation in the development of chaotic regimes. IS - 28 JF - Journal of Physics A: Mathematical and Theoretical TI - Flow curvature manifolds for shaping chaotic attractors: I. Rössler-like systems VL - 42 SP - 285101 KW - chaos KW - dynamics KW - fractals KW - geometry AU - Ginoux, Jean-Marc AU - Letellier, Christophe PY - 2009/// UR - http://dx.doi.org/10.1088/1751-8113/42/28/285101 ER -