At most exponential growth of periodic orbits for star flows
C. A. Morales, E. Rego, X. Wen
Abstract
We prove that on any closed manifold there exists a C1 open and dense subset of star flows for which the periodic orbits grow at most expo- nentially. We also explain how our methods apply to the sectional-hyperbolic attractors including the Lorenz polynomial equation.
Create a lesson
Related papers
Interconnection of port-Hamiltonian systems is not dynamical
Jonas Kirchhoff
First integrals of dense hard-ball gases
Gleb Smirnov
Existence and Stability of Dancing Equilibria in Asymmetric Kuramoto Networks
Wen Sun, Yu-Qing Wang, Jiu-Gang Dong
Poisson actions of noncompact locally compact sofic groups have completely positive entropy
Zhuowei Liu
Ergodic × p-invariant measures on T2 with no dimension dropping projections
Amir Algom
Maximizing Families and Typical Periodic Optimization for Almost Additive Sequences
XiaoYu Zhang, Ercai Chen, Xiaoyao Zhou