Results 71 to 80 of about 283,223 (248)

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Backstepping controller design for a class of stochastic nonlinear systems with Markovian switching

, 2008
A more general class of stochastic nonlinear systems with irreducible homogenous Markovian switching are considered in this paper. As preliminaries, the stability criteria and the existence theorem of strong solutions are first presented by using the ...
Shi, Peng, Peng Shi, Xia, Y., Zhao-jing Wu, Wu, Zhao-Jing, Xie, Xue-Jun, Yuan-qing Xia, Xie, X., Wu, Z., Xia, Yuan-qing, Xue-jun Xie, Shi, P.   +11 more
core   +1 more source

Waves of range dynamics and gene flow characterize the biogeographic history of Litsea elongata, a dominant tree in East Asian evergreen broadleaved forests

PLANTS, PEOPLE, PLANET, EarlyView.
Evergreen broadleaved forests (EBLFs) represent an iconic vegetation type in subtropical montane East Asia, but they are experiencing intensifying anthropogenic pressure and increasing habitat fragmentation. Here, using a dominant and widespread tree species characteristic of East Asian EBLFs, we examine its phylogeographic history and evaluate what it
Sheng‐Yuan Qin, Richard H. Ree, Zheng‐Yu Zuo, Chih‐Chieh Yu, Shuang‐Xiu Xu, Jun Rong, Peng‐Fei Ma, De‐Zhu Li   +7 more
wiley   +1 more source

Dynamics of coherence under Markovian and non-Markovian environments

, 2017
The behavior of quantum coherence is studied under Markovian and non-Markovian dynamics for open quantum systems. For single qubit systems, we show that the coherence depending on the off-diagonal elements of the density matrix is the upper bound of the
Zhong-Xiao Wang, Tie-Jun Wang, Teng Ma, Shu-Hao Wang, Chuan Wang   +4 more
core   +1 more source

The time-fractional kinetic equation for the non-equilibrium processes

Scientific Reports, 2021
In this study, we consider the non-Markovian dynamics of the generic non-equilibrium kinetic process. We summarize the generalized master equation, the continuous and discrete forms of the time-fractional diffusion equation.
Ekrem Aydiner
doaj   +1 more source

Dephasing Dynamics in a Non-Equilibrium Fluctuating Environment

Entropy, 2023
We performed a theoretical study of the dephasing dynamics of a quantum two-state system under the influences of a non-equilibrium fluctuating environment. The effect of the environmental non-equilibrium fluctuations on the quantum system is described by
Xiangjia Meng, Yaxin Sun, Qinglong Wang, Jing Ren, Xiangji Cai, Artur Czerwinski   +5 more
doaj   +1 more source

Compact and complete description of non-Markovian dynamics

The Journal of Chemical Physics, 2023
Generalized master equations provide a theoretically rigorous framework to capture the dynamics of processes ranging from energy harvesting in plants and photovoltaic devices to qubit decoherence in quantum technologies and even protein folding. At their center is the concept of memory.
Thomas Sayer, Andrés Montoya-Castillo
openaire   +3 more sources

Output‐Feedback H∞$$ {H}_{\infty } $$ Detector‐Based Control of Continuous‐Time Markov Jump Lur'e Systems With Sector‐Bound Optimization

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper addresses the problem of dynamic output‐feedback H∞$$ {H}_{\infty } $$ detector‐based control for continuous‐time Markov Jump Lur'e Systems with uncertain transition rate matrices. In contrast to conventional approaches, the proposed synthesis conditions are derived using Finsler's lemma, introducing additional slack variables to ...
Lucas P. M. Silva, Cecilia F. Morais, Ricardo C. L. F. Oliveira   +2 more
wiley   +1 more source

Precursors of non-Markovianity

New Journal of Physics, 2019
Using the paradigm of information backflow to characterize a non-Markovian evolution, we introduce so-called precursors of non-Markovianity, i.e. necessary properties that the system and environment state must exhibit at earlier times in order for an ...
Steve Campbell, Maria Popovic, Dario Tamascelli, Bassano Vacchini   +3 more
doaj   +1 more source

Entropy production and non-Markovian dynamical maps [PDF]

Scientific Reports, 2017
AbstractIn the weak-coupling limit approach to open quantum systems, the presence of the bath is eliminated and accounted for by a master equation that introduces dissipative contributions to the system reduced dynamics: within this framework, there are no bath entropy contributions to the entropy balance.
MARCANTONI, STEFANO, Alipour, S, BENATTI, FABIO, FLOREANINI, ROBERTO, Rezakhani, A. T.   +4 more
openaire   +4 more sources