ON THE SCRAMBLED SET OF THE LOGISTIC MAP WITH DIFFUSION

DOI10.1142/S0218202500000173zbMath1010.37052MaRDI QIDQ4798793

Seiji Ukai, Akihiko Itaya

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

discretizationperturbationsemilinear parabolic equationinfinite-dimensional map

Mathematics Subject Classification ID

Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Cites Work

• Interval maps, factors of maps, and chaos
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Stable and chaotic solutions of a first order partial differential equation
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Chaotic Solutions of Systems of First Order Partial Differential Equations
• Period Three Implies Chaos
• LI-Yorke's scrambled sets have measure 0
• Differentiable dynamical systems

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