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Folded nodes occur in generic slow-fast dynamical systems with two slow variables. Open regions
of initial conditions flow into a folded node in an open set of such systems, so folded nodes are an
i...
Pointwise characteristic factors for the multidimensional return times theorem
Pointwise characteristic factors multidimensional return times theorem
2011/1/21
This paper is an update and extension of a result the authors first proved in 2003. The goal of this paper is to study factors which are known to be L2-characteristic for certain nonconventional avera...
Optimal control of reverse logistics model with logistic demand and return rates
Optimal control reverse logistics model logistic demand return rates
2010/9/27
Pontryagin minimum principle (PMP) is applied in this paper to find the optimal control of the reverse logistics model of a production inventory system with deteriorating items. The total cost of the ...
Global return maps for mixed-mode oscillations with one fast and two slow variables
Dynamical Systems (math.DS) Classical Analysis and ODEs (math.CA) Chaotic Dynamics (nlin.CD)
2010/11/10
Alternating patterns of small and large amplitude oscillations occur in a wide variety of physical, chemical, biological and engineering systems. These mixed-mode oscillations (MMOs) are often found i...
We show that the distribution of the first return time τ to the origin, v, of a simple randomwalk on an infinite recurrent graph is heavy tailed and non-concentrated.
Nonlinear Stochastic Model of Return matching to the data of New York and Vilnius Stock Exchanges
Nonlinear Stochastic Model Return matching Vilnius Stock Exchanges
2010/4/27
We scale and analyze the empirical data of return from New York and Vilnius stock exchanges matching it to the same nonlinear double stochastic model of return in financial market.
Dynamic DEA and its development for additive model to evaluate return to scale
Dynamic DEA return to scale
2010/9/13
Quasi-fixed inputs are incorporated into dynamic DEA, A unique feature of the quasi-fixed inputs is that those are considered as outputs at the current, while being treated as inputs at the next perio...
Some Results for Classical Risk Process with Stochastic Return on Investments
ruin probability supremum distribution before ruin
2007/12/11
In this paper, we discuss the classical risk process with stochastic return on investment. We prove some properties of the ruin probability, the supremum distribution before ruin and the surplus distr...