On the topological entropy, nonwandering set and chaos of monotone and competitive dynamical systems

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Cites Work

A construction of stable subharmonic orbits in monotone time-periodic dynamical systems
Convergence to cycles as a typical asymptotic behavior in smooth strongly monotone discrete-time dynamical systems
Attractors in strongly monotone flows
Convergence to trap almost everywhere for flows generated by cooperative and irreducible vector fields
Stable subharmonic solutions in periodic reaction-diffusion equations
Convergence in smooth strongly monotone flows defined by semilinear parabolic equations
Stable cycles for attractors of strongly monotone discrete-time dynamical systems
Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations
Stability and convergence in strongly monotone dynamical systems.
The dynamical systems approach to differential equations
Quasi Convergence and Stability for Strongly Order-Preserving Semiflows
An Interesting Cantor Set
Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
Systems of differential equations which are competitive or cooperative: III. Competing species
Non-wandering sets of the powers of maps of the interval
Maps of the Interval with Closed Periodic Set
Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
Convergence for Strongly Order-Preserving Semiflows
Linearly Stable Subharmonic Orbits in Strongly Monotone Time-Periodic Dynamical Systems
Planar competitive and cooperative difference equations
Chain transitive sets for smooth strongly monotone dynamical systems
Complicated dynamics for low-dimensional strongly monotone maps
Set of almost periodic points of a continuous self-map of an interval
Entropy for Group Endomorphisms and Homogeneous Spaces
The general properties of dicrete-time competitive dynamical systems
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