搜索结果: 1-15 共查到“知识库 理学 dynamical systems”相关记录61条 . 查询时间(0.068 秒)
Nonlinear Stochastic Perturbations of Dynamical Systems and Quasi-linear Parabolic PDE’s with a Small Parameter
Quasi linear parabolic equations parameters quasi linear initial boundary value
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2015/9/28
In this paper we describe the asymptotic behavior, in the exponential time scale, of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time beh...
Metastability for Non-Linear Random Perturbations of Dynamical Systems
Quasi linear parabolic equation the small parameter the second order items
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2015/9/28
In this paper we describe the long time behavior of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time behavior of the corresponding di@...
A Compactification of H′ enon Mappings in C2 as Dynamical Systems
H′ enon Mappings C2 as Dynamical Systems
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2015/8/26
A Compactification of H′ enon Mappings in C2 as Dynamical Systems.
Towards a Global Theory of Singularly Perturbed Dynamical Systems
Perturbed Dynamical System Theory
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2015/8/25
Dynamical systems with multiple time scales arise naturally in many domains.
Models of neural systems provide the principal motivation for this
paper. Most of the previous mathematical analysis of q...
A class of Lyapunov functionals for analyzing hybrid dynamical systems
Lyapunov functionals the hybrid system function hysteresis nonlinear system lyapunov functionals
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2015/8/11
In this paper, we introduce a new class of Lyapunov functionals for analyzing hybrid dynamical systems. This class can be thought of as a generalization of the Lyapunov functional introduced by Yakubo...
Polynomial level-set methods for nonlinear dynamical systems analysis
dynamical systems analysis level-set methods
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2015/6/19
In this paper, we present a method for computing the domain of attraction for non-linear dynamical systems. We propose a level-set method where sets are represented as sublevel sets of polynomials. Th...
Pathwise Stationar y Solutions and Random Per iodic Solutions of Random Dynamical Systems (SPDEs, Random Maps)
Pathwise Stationar y Solutions Random Per
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2015/4/3
here are two fundamental concepts in deter ministic dynamical systems: fixed
point (equilibr ium point) and per iodic solutions. For stochastic dynamical systems, they correspond to fundamental ideas...
Identification of Second-Order Stochastic Dynamical Systems
Dynamical Systems Second-Order
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2015/4/3
First-order SODE: OU processdX+aX(t)dt= dW(t)
Three options:a >0, a= 0, a <0.
First-order SPDE:du= au
xx dt+dW(t, x)
One option:a >0(Infinite-dimensional stable OU process.)
Second-order SODE:X¨ ...
Lyapunov Exponents for Infinite Dimensional Random Dynamical Systems in a Banach Space
Random Dynamical Systems Lyapunov Exponents
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2015/4/3
Metric Dynamical System
Let be a probability space.
Let be a metric dynamical system:
(i)
(ii)
(iii) preserves th...
Rare Events in Random Dynamical Systems
Random Dynamical Systems Rare Events
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2015/4/3
“Superparamagnetic limit”: As magnetic devices become smaller
and smaller, the time for thermal activated switching might
become too short (shorter than desired data retention time).
Stochastic Quantification of Missing Mechanisms in Dynamical Systems
ynamical Systems Missing Mechanisms
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2015/4/3
Due to lack of knowledge:
Missing mechanisms (ignored “too small" or “too fast" or
“unimportant" processes)
Unresolved scales (not represented in models)
Model uncertainties
An Integrated and Evolutionary Dynamical Systems View of Climate Complexity
Climate Change Complexity System Earth
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2013/3/11
The Earth shows a constant display of an organized complexity system, and its intrinsic capacity for sporadic self-organization constitutes its fundamental and profound mysterious property. A graphica...
Conditioned Likelihoods Using Bifurcation Continuation in Inverse Modeling of Dynamical Systems
Conditioned Likelihoods Bifurcation Continuation Inverse Modeling Dynamical Systems
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2012/11/23
The Morris-Lecar (ML) model has applications to neuroscience and cognition. A simple network consisting of a pair of synaptically coupled ML neurons can exhibit a wide variety of deterministic behavio...
Construction of exact invariants of time-dependent linear nonholonomic dynamical systems
invariant Lie algebraic method linear nonholonomic Hamiltonian system
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2012/8/8
In this work, we build exact dynamical invariants for time-dependent, linear, nonholo-
nomic Hamiltonian systems in two dimensions. Our aim is to obtain an additional insight into
the theoretical un...
Banach representations and affine compactifications of dynamical systems
affine compactification affine flow Asplund space enveloping semigroup non-sensitivity right topological semigroup
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2012/4/18
To every Banach space V we associate a compact right topological affine semigroup E(V). We show that a separable Banach space V is Asplund if and only if E(V) is metrizable, and it is Rosenthal (i.e. ...