Complicated dynamics for low-dimensional strongly monotone maps

DOI10.1016/S0362-546X(96)00200-3zbMath0893.54034OpenAlexW1991383352MaRDI QIDQ4377271

Hal Leslie Smith

Publication date: 24 August 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00200-3

zbMATH Keywords

horseshoeequilibriumdissipative map

Mathematics Subject Classification ID

Related Items

Nonexistence of observable chaos and its robustness in strongly monotone dynamical systems ⋮ Sharpened dynamics alternative and its \(C^1\)-robustness for strongly monotone discrete dynamical systems ⋮ Rapid fluctuations of chaotic maps on \(\mathbb {R}^N\) ⋮ The general properties of dicrete-time competitive dynamical systems ⋮ Monotone maps: a review ⋮ On the topological entropy, nonwandering set and chaos of monotone and competitive dynamical systems

Cites Work

• Shift automorphisms in the Henon mapping
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Periodic competitive differential equations and the discrete dynamics of competitive maps
• Convergence to cycles as a typical asymptotic behavior in smooth strongly monotone discrete-time dynamical systems
• On the differential equations of species in competition
• Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations
• Stability and convergence in strongly monotone dynamical systems.
• Periodic Solutions of Periodic Competitive and Cooperative Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item