Generation of chaos by dynamical systems defined in ordered banach spaces

DOI10.1080/10236199808808142zbMath0929.37006OpenAlexW2170434564MaRDI QIDQ4211792

Boris G. Zaslavsky

Publication date: 15 December 1998

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199808808142

zbMATH Keywords

chaosperiodic orbitsinvariant subsetquasi-randomclosed conemonotone map in vicinity of the origin

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Combinatorial dynamics (types of periodic orbits) (37E15) Genetics and population dynamics (92D99)

Cites Work

• Perfect harmony: The discrete dynamics of cooperation
• Chaotic phenomena
• Bifurcations and chaos in a time-discrete integral model of population dynamics
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Relative stability for ascending and positively homogeneous operators on Banach spaces
• A generalization of a theorem of marotto
• A limit set trichotomy for self-mappings of normal cones in banach spaces
• Chaotic behaviour of systems of difference equations

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