Dynamical Systems
Kernel Density Estimation for Dynamical Systems
... used dynamical systems often only satisfy a weaker continuity condition such as the pointwise α-H¨ older controllable ...certain dynamical systems mentioned in this paper, we are still able to ...
49
Modular Interdependency in Complex Dynamical Systems
... modular systems have no important dependencies between modules, but we are also able to show that this need not be the ...modular systems without significant module interactions result in degenerate forms ...
33
Perturbation in Nonlinear Operator Dynamical Systems
... generalized dynamical systems satisfying nonanticipating operator differential equations are applied to optimal control problems (Ahangar 1986 and ...
9
Logical entropy of dynamical systems
... The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput. 7:121–145, 2013) to the case of dynamical systems. We define the logical entropy and conditional logical entropy of ...
17
Probabilistic inference for dynamical systems
... A general framework for inference in dynamical systems is described, based on the language of Bayesian probability theory and making use of the maximum entropy principle. Taking as funda- mental the concept ...
12
On Two-parameter Dynamical Systems and Applications
... In this note some useful properties of strongly continuous two-parameter semigroups of operators are studied, an exponential formula for two-parameter semigroups of operators on Banach spaces is obtained and some applied ...
8
Artificial Biochemical Networks : Evolving Dynamical Systems to Control Dynamical Systems
... The results show that ABNs are capable of controlling a diverse range of complex dynamical systems. However, they also show that different types of ABN model are appropriate for different types of ...
23
Sensitivity of Fuzzy Nonautonomous Dynamical Systems
... autonomous dynamical system have been extensively studied and many elegant results have been obtained [1, 2, and the references ...Nonautonomous systems, also called sequences of dynamical ...
12
Thermodynamic formalism for symbolic dynamical systems
... In chapter 3 we discuss β-expansions of real numbers. Chapter 3 is rather different in nature to the other chapters in this work as it does not concern thermodynamic formalism. Furthermore, while the question that we ...
139
On the Nonchaotic Nature of Monotone Dynamical Systems
... Monotone dynamical systems often permit reliable predictions of long-term behavior. In many case it can be proved that typical trajectories tend toward fixed points or periodic orbits. See for example ...
9
Harmonic Analysis in Discrete Dynamical Systems
... As we shall see later, Metropolis, Stein and Stein (MSS) [23] used a variant of the harmonic analysis within the field of discrete dynamical systems, specifi- cally within a type of 1D quadratic maps, the ...
18
Periodic Dynamical Systems of Population Models.
... Clearly, Cushing and Henson proved these results for n = 2 in [15]. While periodically forced ecological models have been of interest since the 1970’s, the Cushing and Henson conjectures seem to have launched a great ...
104
Modeling Nonlinear Dynamical Systems
... a dynamical system is an abstract mathematical object that allows one to talk about physical ...is Dynamical systems are mathematical objects used to model physical phenomena whose state (or ...
9
On Adjoint Dynamical Systems
... The above results are referring only to generating supercategories S of adjoint dynamical systems, while Proposition 3 in I is referring to the "state space" X~ (o[r] ...
12
Toward a dynamical systems analysis of neuromodulation
... Here we will attempt to extend and generalise this analysis to some degree by developing and analysing a simple, idealised, continuous neuromodulatory net- work. Our model is based on the well-known FitzHugh- Nagumo ...
11
Intertwined phenomenon of a kind of dynamical systems
... of dynamical systems, one of very important topics is to determine the topological structure of the basin of attraction for an attractor (see [– ] and ...nonlinear dynamical system, it is an ...
6
A Note on Specification Property of Dynamical Systems
... Specification property was first introduced by Bowen to give the distribution of periodic points for Axiom A diffeomorphisms [1]. In recent years, many scholars focus on specification property and its related properties. ...
5
Applications of dynamical systems with symmetry
... This thesis examines the application of symmetric dynamical systems theory to two areas in applied mathematics: weakly coupled oscillators with symmetry, and bifurcations in flame front [r] ...
154
Management of complex dynamical systems
... One framework into which it is helpful to put the system is the Banach space approach to uniformly hyperbolic deterministic dynamical systems. It was developed by Hirsch, Pugh & Shub, Coppel and many ...
15
Sensitivity Methods for Dynamical Systems
... of dynamical systems is of interest to numerous researchers be- cause the resulting sensitivity functions have many applications in optimization and design [12, 24, 32, 37], computation of standard errors ...
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