Skip to main content
eScholarship
Open Access Publications from the University of California

Scholarly Works (6 results)

  • Article
  • Peer Reviewed
UC Berkeley Previously Published Works (2006)
    Cover page: Chapter 4 Monotone Dynamical Systems
    • Article
    • Peer Reviewed
    UC Berkeley Previously Published Works (2006)
      Cover page: Asymptotically stable equilibria for monotone semiflows
      • Article
      • Peer Reviewed
      UC Berkeley Previously Published Works (2005)

      The aim of this paper is to provide a brief review of the main results in the theory of discrete-time monotone dynamics.

        Cover page: Monotone maps: a review
        • Peer Reviewed
        UC Berkeley Previously Published Works (2005)
        This chapter surveys a restricted but useful class of dynamical systems, namely, those enjoying a comparisonprinciple with respect to a closed order relation on the state space.Such systems, variously called monotone, order-preserving orincreasing, occur in many biological, chemical, physical and economicmodels.
          Cover page: 4. Monotone Dynamical Systems
          • Article
          • Peer Reviewed
          UC Berkeley Previously Published Works (2004)
            Cover page: Generic Quasi-convergence for Strongly Order Preserving Semiflows: A New Approach
            • Article
            • Peer Reviewed
            UC Berkeley Previously Published Works (2008)

            New formulations of some of the classical theorems on genericity of quasiconvergence and convergence in the theory of monotone semiflows are obtained. New sufficient conditions for the set of convergent points to be open and dense, which reduce the compactness requirements of earlier results, are also obtained.

              Cover page: Prevalent Behavior of Strongly Order Preserving Semiflows
              Top