3 papers
math.DS2026
Many coexisting attractors, a case study of the almost-conservative Hénon map
Corrado Falcolini, Laura Tedeschini-Lalli, James A. Yorke
For dynamical systems in the plane, there can be many periodic attractors coexisting in a bounded region. They become easier to find in systems with small dissipation, which we cal…
math.DS2026
Shadow chains and Conley chains for continuous-time semiflows
Roberto De Leo, James A. Yorke
In a recent series of articles we introduced the concept of "stream of a semiflow. A stream is a closed and transitive binary relation which extends the relation "being on the orbi…
nlin.CD2024
A laminar chaotic saddle within a turbulent attractor
Hibiki Kato, Miki U Kobayashi, Yoshitaka Saiki +1
Intermittent switchings between weakly chaotic (laminar) and strongly chaotic (bursty) states are often observed in systems with high-dimensional chaotic attractors, such as fluid…