Nonlinear integral operators and chaos in Banach spaces

DOI10.1017/S000497270001323XzbMath0605.45013MaRDI QIDQ3743832

Phil Diamond

Publication date: 1987

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Banach spaceschaotic behaviorKuratowski measure of noncompactnesscontinuous transformationsexpanding on compact setsset dilation

Mathematics Subject Classification ID

Integral operators (45P05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items

Bifurcations of Banach space operators

Cites Work

• A quasihomoclinic structure generated by a semigroup of operators in Banach space
• Ergodicity and exactness of the shift on C[0,\(\infty)\) and the semiflow of a first-order partial differential equation
• On certain nonlinear integral equations
• Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
• Stable and chaotic solutions of a first order partial differential equation
• Notes on chaos in the cell population partial differential equation
• What is the Laplace Transform?