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Elements Of Stochastic Dynamics by Guo Qiang Cai

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1Stochastic Dynamics Of N Bistable Elements With Global Time-delayed Interactions: Towards An Exact Solution Of The Master Equations For Finite N

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We consider a network of N noisy bistable elements with global time-delayed couplings. In a two-state description, where elements are represented by Ising spins, the collective dynamics is described by an infinite hierarchy of coupled master equations which was solved at the mean-field level in the thermodynamic limit. For a finite number of elements, an analytical description was deemed so far intractable and numerical studies seemed to be necessary. In this paper we consider the case of two interacting elements and show that a partial analytical description of the stationary state is possible if the stochastic process is time-symmetric. This requires some relationship between the transition rates to be satisfied.

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  • Title: ➤  Stochastic Dynamics Of N Bistable Elements With Global Time-delayed Interactions: Towards An Exact Solution Of The Master Equations For Finite N
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 8.74 Mbs, the file-s for this book were downloaded 88 times, the file-s went public at Sat Jul 20 2013.

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2Elements Of Stochastic Dynamics

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We consider a network of N noisy bistable elements with global time-delayed couplings. In a two-state description, where elements are represented by Ising spins, the collective dynamics is described by an infinite hierarchy of coupled master equations which was solved at the mean-field level in the thermodynamic limit. For a finite number of elements, an analytical description was deemed so far intractable and numerical studies seemed to be necessary. In this paper we consider the case of two interacting elements and show that a partial analytical description of the stationary state is possible if the stochastic process is time-symmetric. This requires some relationship between the transition rates to be satisfied.

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  • Title: ➤  Elements Of Stochastic Dynamics
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 872.07 Mbs, the file-s for this book were downloaded 33 times, the file-s went public at Wed May 31 2023.

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3Cooperative Dynamics In A Network Of Stochastic Elements With Delayed Feedback

We consider a network of N noisy bistable elements with global time-delayed couplings. In a two-state description, where elements are represented by Ising spins, the collective dynamics is described by an infinite hierarchy of coupled master equations which was solved at the mean-field level in the thermodynamic limit. For a finite number of elements, an analytical description was deemed so far intractable and numerical studies seemed to be necessary. In this paper we consider the case of two interacting elements and show that a partial analytical description of the stationary state is possible if the stochastic process is time-symmetric. This requires some relationship between the transition rates to be satisfied.

“Cooperative Dynamics In A Network Of Stochastic Elements With Delayed Feedback” Metadata:

  • Title: ➤  Cooperative Dynamics In A Network Of Stochastic Elements With Delayed Feedback

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The book is available for download in "texts" format, the size of the file-s is: 11.97 Mbs, the file-s for this book were downloaded 56 times, the file-s went public at Fri Sep 20 2013.

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