TY - JOUR AU - Ayala-Hoffmann, José AU - Corbin, Patrick AU - McConville, Kelly AU - Colonius, Fritz AU - Kliemann, Wolfgang AU - Peters, Justin R. PY - 2017/05/08 Y2 - 2024/03/28 TI - Morse decomposition, attractors and chain recurrence JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 25 IS - 1 SE - DO - 10.4067/S0716-09172006000100006 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1551 SP - 79-109 AB - <span class="fontstyle0">The global behavior of a dynamical system can be described by its Morse decompositions or its attractor and repeller configurations. There is a close relation between these two approaches and also with (maximal) chain recurrent sets that describe the system behavior on finest Morse sets. These sets depend upper semicontinuously on parameters. The connection with ergodic theory is provided through the construction of invariant measures based on chains.</span> ER -