منابع مشابه
Monotone and Near-Monotone Systems
This paper provides an expository introduction to monotone and nearmonotone biochemical network structures. Monotone systems respond in a predictable fashion to perturbations, and have very robust dynamical characteristics. This makes them reliable components of more complex networks, and suggests that natural biological systems may have evolved to be, if not monotone, at least close to monoton...
متن کاملMaximum Gradient Embeddings and Monotone Clustering
Let (X, dX) be an n-point metric space. We show that there exists a distribution D over non-contractive embeddings into trees f : X → T such that for every x ∈ X, ED [ max y∈X\{x} dT ( f (x), f (y)) dX(x, y) ] ≤ C(log n), where C is a universal constant. Conversely we show that the above quadratic dependence on log n cannot be improved in general. Such embeddings, which we call maximum gradient...
متن کاملNon-monotone systems decomposable into monotone systems with negative feedback
Motivated by the work of Angeli and Sontag [1] and Enciso and Sontag [7] in control theory, we show that certain finite and infinite dimensional semi-dynamical systems with “negative feedback” can be decomposed into a monotone “open loop” system with “inputs” and a decreasing “output” function. The original system is reconstituted by “plugging the output into the input”. Employing a technique o...
متن کاملMonotone Dynamical Systems
1 Strongly Order-Preserving Semiflows 6 1.1 Definitions and Basic Results . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Nonordering of Omega Limit Sets . . . . . . . . . . . . . . . . . . . . . . 12 1.3 Local Semiflows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.4 The Limit Set Dichotomy . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.5 Q is plentiful ....
متن کاملDynamical Systems Gradient method for solving nonlinear equations with monotone operators
A version of the Dynamical Systems Gradient Method for solving ill-posed nonlinear monotone operator equations is studied in this paper. A discrepancy principle is proposed and justified. A numerical experiment was carried out with the new stopping rule. Numerical experiments show that the proposed stopping rule is efficient. Equations with monotone operators are of interest in many application...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1981
ISSN: 0022-0396
DOI: 10.1016/0022-0396(81)90061-9