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Workshop on Stochastic Dynamical Systems and Ergodicity
Workshop Stochastic Dynamical Systems and Ergodicity
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2017/7/5
The objective of the workshop is to bring together researchers in stochastic dynamical systems, ergodic theory, SPDEs, BSDEs, nonlinear expectations and stochastic controls to interact aiming to stimu...
三亚国际数学论坛：International Conference on Singularity Theory and Dynamical Systems
三亚国际数学论坛 International Conference Singularity Theory and Dynamical Systems
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2017/7/3
The aim of the symposium is to bring together specialists of various do- mains of singularity theory and mathematical foundation of complex systems representing very classical aspects of the Fields. W...
Dynamical system state need not have spectrum
Dynamic system nonlinear dynamical systems differential equation
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2015/8/13
Recently there has been much study of nonlinear dynamical systems (differential equations) which have chaotic solutions. While there is not precise definition of what a chaotic solution is, it is gene...
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...
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. ...
Entropy, Lyapunov exponents and the volume growth of boundary distortion under the action of dynamical systems
Lyapunov exponents the volume growth of boundary distortion the action of dynamical systems
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2012/4/17
We study the connection between the Lyapunov exponents and the volume growth of boundary distortion of regions in the phase space of the dynamical system.
Morse decomposition for random dynamical systems
Random dynamical system Morse decomposition random attractor
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2011/10/18
It is well-known that Morse decomposition is very useful to study the inner structure of invariant sets for given dynamical systems. Recently, Morse decomposition is established for random dynamical s...
Morse decomposition and Lyapunov functions for dynamical systems
Differential equation and dynamical system Morse decomposition Lyapunov function
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2011/10/18
In this paper, we review Morse decomposition and Lyapunov functions. Most of the results are due to Conley and are known. Attractor-repeller pairs and Morse decompositions are very useful to study the...
Generalized Extreme Value distribution parameters as dynamical indicators of Stability
Generalized Extreme Value distribution parameters dynamical indicators of Stability Dynamical Systems
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2011/9/23
Abstract: We introduce a new dynamical indicator of stability based on the Extreme Value statistics showing that it provides an insight on the local stability properties of dynamical systems. The indi...
Variational Gaussian Process Dynamical Systems
Gaussian Dynamical Systems Machine Learning
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2011/10/9
Abstract: High dimensional time series are endemic in applications of machine learning such as robotics (sensor data), computational biology (gene expression data), vision (video sequences) and graphi...
Simulating rare events in dynamical processes
Simulating rare events dynamical processes
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2011/7/7
Untypical, rare trajectories of dynamical systems are important: they are often the paths for chemical reactions, the haven of (relative) stability of planetary systems, the rogue waves that are detec...
Dynamical Inequality in Growth Models
Dynamical Inequality Growth Models KPZ equation
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2011/7/7
A recent exponent inequality is applied to a number of dynamical growth models. Many of the known exponents for models such as the Kardar-Parisi-Zhang (KPZ) equation are shown to be consistent with th...
Prediction and Modularity in Dynamical Systems
Dynamical Systems Prediction Modularity
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2011/7/6
Identifying and understanding modular organizations is centrally important in the study of complex systems. Several approaches to this problem have been advanced, many framed in information-theoretic ...
Some Results on the Information Loss in Dynamical Systems
Dynamical Systems Information Loss Results
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2011/7/7
In this work we investigate the information loss in (nonlinear) dynamical input-output systems and provide some general results. In particular, we present an upper bound on the information loss rate, ...
Polytopic Invariant Verification and Synthesis for Polynomial Dynamical Systems via Linear Programming
Polytopic Invariant Verification Synthesis for Polynomial Dynamical Systems Linear Programming
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2011/1/18
This paper deals with the veri cation and the synthesis of polytopic invariant sets for
polynomial dynamical systems. An invariant set of a dynamical system is a subset of the state
space such that ...