Stability versus chaos for a partial differential equation

DOI10.1016/S0960-0779(01)00190-4zbMath1005.35029OpenAlexW1997233737WikidataQ115337377 ScholiaQ115337377MaRDI QIDQ1610454

Józef Myjak, Ryszard Rundnicki

Publication date: 19 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(01)00190-4

zbMATH Keywords

invariant measurechoice of the phaseergodic and analytic properties

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Boundary value problems for linear first-order PDEs (35F15) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items

An ergodic theory approach to chaos ⋮ Ergodic theory approach to chaos: Remarks and computational aspects ⋮ Hypercyclic, mixing, and chaoticC₀-semigroups induced by semiflows ⋮ Hypercyclic semigroups generated by Ornstein-Uhlenbeck operators

Cites Work

• Unnamed Item
• Unnamed Item
• Turbulent solutions of a first order partial differential equation
• Ergodicity and exactness of the shift on C[0,\(\infty)\) and the semiflow of a first-order partial differential equation
• Strong ergodic properties of a first-order partial differential equation
• Interval maps, factors of maps, and chaos
• Invariant measures and a linear model of turbulence
• Stationary functions and their applications to the theory of turbulence. I: Stationary functions
• Invariant measures for the flow of a first order partial differential equation
• Hypercyclic and chaotic semigroups of linear operators