Controllable molecule waves in the femtosecond regime

2021 ◽  
Author(s):  
Shuo Zhou ◽  
Jun-Fei Zhao ◽  
Lei Wang
Keyword(s):  
The State ◽  
State Transitions ◽  
Characteristic Line ◽  
Femtosecond Pulses ◽  
Hirota Equation ◽  
Transition Mode ◽  
Femtosecond Regime ◽  
Nonlinear Modulation ◽  
Line Analysis

Abstract We investigate the nonautonomous molecule waves of the inhomogeneous Hirota equation describing the propagation of femtosecond pulses in inhomogeneous fibers. By employing the characteristic line analysis, the breather molecules of the inhomogeneous Hirota equation under different cases of dispersion and nonlinear modulation are obtained. We find that the inhomogeneous coefficients d2(z) and d3(z) have influences on the distance between atoms. In addition, we introduce the state transitions to the nonautonomous breather molecules and reveal that there is no full-transition mode for the inhomogeneous Hirota equation.

Marked point processes as limits of Markovian arrival streams

1993 ◽  
Vol 30 (02) ◽  
pp. 365-372 ◽  
Author(s):  
Søren Asmussen ◽  
Ger Koole
Keyword(s):  
Point Process ◽  
Point Processes ◽  
Marked Point ◽  
The State ◽  
Marked Point Processes ◽  
Marked Point Process ◽  
State Transitions ◽  
Poisson Arrival ◽  
Convergence Of Moments ◽  
Environmental Process

A Markovian arrival stream is a marked point process generated by the state transitions of a given Markovian environmental process and Poisson arrival rates depending on the environment. It is shown that to a given marked point process there is a sequence of such Markovian arrival streams with the property that as m →∞. Various related corollaries (involving stationarity, convergence of moments and ergodicity) and counterexamples are discussed as well.

A Close Look at the State Transitions of Galactic Black Hole Transients during Outburst Decay

2004 ◽  
Vol 603 (1) ◽  
pp. 231-241 ◽  
Author(s):  
E. Kalemci ◽  
J. A. Tomsick ◽  
R. E. Rothschild ◽  
K. Pottschmidt ◽  
P. Kaaret
Keyword(s):  
Black Hole ◽  
The State ◽  
State Transitions ◽  
Galactic Black Hole

Marked point processes as limits of Markovian arrival streams

1993 ◽  
Vol 30 (2) ◽  
pp. 365-372 ◽  
Author(s):  
Søren Asmussen ◽  
Ger Koole
Keyword(s):  
Point Process ◽  
Point Processes ◽  
Marked Point ◽  
The State ◽  
Marked Point Processes ◽  
Marked Point Process ◽  
State Transitions ◽  
Poisson Arrival ◽  
Convergence Of Moments ◽  
Environmental Process

A Markovian arrival stream is a marked point process generated by the state transitions of a given Markovian environmental process and Poisson arrival rates depending on the environment. It is shown that to a given marked point process there is a sequence of such Markovian arrival streams with the property that as m →∞. Various related corollaries (involving stationarity, convergence of moments and ergodicity) and counterexamples are discussed as well.

scholarly journals Learning Output Reference Model Tracking for Higher-Order Nonlinear Systems with Unknown Dynamics

Algorithms ◽  
2019 ◽  
Vol 12 (6) ◽  
pp. 121 ◽  
Author(s):  
Mircea-Bogdan Radac ◽  
Timotei Lala
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Reference Model ◽  
The State ◽  
State Transitions ◽  
Practical Implementation ◽  
General Function ◽  
State Action ◽  
Model Free ◽  
Continuous State

This work suggests a solution for the output reference model (ORM) tracking control problem, based on approximate dynamic programming. General nonlinear systems are included in a control system (CS) and subjected to state feedback. By linear ORM selection, indirect CS feedback linearization is obtained, leading to favorable linear behavior of the CS. The Value Iteration (VI) algorithm ensures model-free nonlinear state feedback controller learning, without relying on the process dynamics. From linear to nonlinear parameterizations, a reliable approximate VI implementation in continuous state-action spaces depends on several key parameters such as problem dimension, exploration of the state-action space, the state-transitions dataset size, and a suitable selection of the function approximators. Herein, we find that, given a transition sample dataset and a general linear parameterization of the Q-function, the ORM tracking performance obtained with an approximate VI scheme can reach the performance level of a more general implementation using neural networks (NNs). Although the NN-based implementation takes more time to learn due to its higher complexity (more parameters), it is less sensitive to exploration settings, number of transition samples, and to the selected hyper-parameters, hence it is recommending as the de facto practical implementation. Contributions of this work include the following: VI convergence is guaranteed under general function approximators; a case study for a low-order linear system in order to generalize the more complex ORM tracking validation on a real-world nonlinear multivariable aerodynamic process; comparisons with an offline deep deterministic policy gradient solution; implementation details and further discussions on the obtained results.

Schizophrenia as a Disorder of Cerebral State Transition

1986 ◽  
Vol 20 (2) ◽  
pp. 167-178 ◽  
Author(s):  
J. J. Wright ◽  
R. R. Kydd
Keyword(s):  
State Transition ◽  
Finite State Machines ◽  
The State ◽  
State Transitions ◽  
Brain State ◽  
State Machines ◽  
Electrocortical Activity ◽  
Wave Nature ◽  
Finite State

This paper offers a speculative consideration of the schizophrenic process in the light of recent findings concerning the wave nature of electrocortical activity. These findings indicate that changes of brain state can be described in the terminology of finite-state machines, and both the instantaneous states and the state transitions can be specified. It is suggested that the mental phenomena of schizophrenia may be reducible to events (some specific type of instability) which could be observed by appropriate analytic techniques applied to EEG. Present empirical EEG findings in schizophrenics are reviewed in this light, and the role of dopamine blockade in treatment is also considered.

scholarly journals Smooth coalgebra: testing vector analysis

2015 ◽  
Vol 27 (7) ◽  
pp. 1195-1235
Author(s):  
DUSKO PAVLOVIC ◽  
BERTFRIED FAUSER
Keyword(s):  
Dynamical Systems ◽  
Differential Forms ◽  
Standard Form ◽  
The State ◽  
State Transitions ◽  
State Spaces ◽  
Practical Applications ◽  
Cotangent Bundles ◽  
High Level ◽  
Tangent Bundles

Processes are often viewed as coalgebras, with the structure maps specifying the state transitions. In the simplest case, the state spaces are discrete, and the structure map simply takes each state to the next states. But the coalgebraic view is also quite effective for studying processes over structured state spaces, e.g. measurable, or continuous. In the present paper, we consider coalgebras over manifolds. This means that the captured processes evolve over state spaces that are not just continuous, but also locally homeomorphic to normed vector spaces, and thus carry a differential structure. Both dynamical systems and differential forms arise as coalgebras over such state spaces, for two different endofunctors over manifolds. A duality induced by these two endofunctors provides a formal underpinning for the informal geometric intuitions linking differential forms and dynamical systems in the various practical applications, e.g. in physics. This joint functorial reconstruction of tangent bundles and cotangent bundles uncovers the universal properties and a high-level view of these fundamental structures, which are implemented rather intricately in their standard form. The succinct coalgebraic presentation provides unexpected insights even about the situations as familiar as Newton's laws.

scholarly journals (QUANTUMNESS IN THE CONTEXT OF) RESOURCE THEORIES

2012 ◽  
Vol 27 (01n03) ◽  
pp. 1345019 ◽  
Author(s):  
MICHAL HORODECKI ◽  
JONATHAN OPPENHEIM
Keyword(s):  
State Space ◽  
Relative Entropy ◽  
General Framework ◽  
The State ◽  
Resource Theory ◽  
State Transitions ◽  
Restricted Class ◽  
Unique Measure ◽  
Entropy Distance

We review the basic idea behind resource theories, where we quantify quantum resources by specifying a restricted class of operations. This divides the state space into various sets, including states which are free (because they can be created under the class of operations), and those which are a resource (because they cannot be). One can quantify the worth of the resource by the relative entropy distance to the set of free states, and under certain conditions, this is a unique measure which quantifies the rate of state to state transitions. The framework includes entanglement, asymmetry and purity theory. It also includes thermodynamics, which is a hybrid resource theory combining purity theory and asymmetry. Another hybrid resource theory which merges purity theory and entanglement can be used to study quantumness of correlations and discord, and we present quantumness in this more general framework of resource theories.

Use of State and Transitional Information

1970 ◽  
Vol 22 (2) ◽  
pp. 329-336
Author(s):  
Thornton B. Roby ◽  
Teresa Lyons
Keyword(s):  
Decision Making ◽  
Task Difficulty ◽  
The State ◽  
Information Storage ◽  
Relative Advantage ◽  
State Transitions ◽  
State Information ◽  
Human Ability ◽  
Mixed Order ◽  
State Of The Environment

The problem concerned relative human ability to digest information describing the state of the environment (σ) or state transitions (τ). The task required the summing or differencing of symbolically presented σ or τ information items. In the first study, subjects were presented σ or τ information in mixed order and σ or τ queries at variable intervals. A second study entailed uniform translation from σ to τ or τ to σ modes. The chief results were: (a) acquisition across modes—τ—σ or σ-τ—is more difficult than within mode acquisition; (b) τ—σ acquisition is superior to σ-τ acquisition; (c) both number of elements and number of phases or levels within elements add to task difficulty; and (d) the relative advantage of σ over τ acquisition decreases with an increasing number of presented items. It is suggested that the results may be explained in part by the comparative economy of state information storage for normal decision making tasks.

scholarly journals A quasi-isentropic model of a cylinder driven by aluminized explosives based on characteristic line analysis

2021 ◽  
Author(s):  
Hong-fu Wang ◽  
Yan Liu ◽  
Fan Bai ◽  
Jun-bo Yan ◽  
Xu Li ◽  
...  
Keyword(s):  
Characteristic Line ◽  
Isentropic Model ◽  
Line Analysis
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