44 citations · 225 across the 12 of their papers we have counts for
12 papers
Potential landscape of high dimensional nonlinear stochastic dynamics with large noise
Ying Tang, Ruoshi Yuan, Gaowei Wang +2
Quantifying stochastic processes is essential to understand many natural phenomena, particularly in biology, including cell-fate decision in developmental processes as well as gene…
On Uniqueness of "SDE Decomposition" in A-type Stochastic Integration
Ruoshi Yuan, Ying Tang, Ping Ao
An innovative theoretical framework for stochastic dynamics based on a decomposition of a stochastic differential equation (SDE) has been developed with an evident advantage in con…
Work Relations Connecting Nonequilibrium Steady States Without Detailed Balance
Ying Tang, Ruoshi Yuan, Jianhong Chen +1
Bridging equilibrium and nonequilibrium statistical physics attracts sustained interest. Hallmarks of nonequilibrium systems include a breakdown of detailed balance, and an absence…
Non-equilibrium work relation beyond Boltzmann-Gibbs distribution
Ying Tang, Ruoshi Yuan, Ping Ao
The presence of multiplicative noise can alter measurements of forces acting on nanoscopic objects. Taking into account of multiplicative noise, we derive a series of non-equilibri…
Summing over trajectories of stochastic dynamics with multiplicative noise
Ying Tang, Ruoshi Yuan, Ping Ao
We demonstrate that the conventional path integral formulations generate inconsistent results exemplified by the geometric Brownian motion under the general stochastic interpretati…
Lyapunov Functions in Piecewise Linear Systems: From Fixed Point to Limit Cycle
Yian Ma, Ruoshi Yuan, Yang Li +2
This paper provides a first example of constructing Lyapunov functions in a class of piecewise linear systems with limit cycles. The method of construction helps analyze and contro…
Determine dynamical behaviors by the Lyapunov function in competitive Lotka-Volterra systems
Ying Tang, Ruoshi Yuan, Yian Ma
Global dynamical behaviors of the competitive Lotka-Volterra system even in 3-dimension are not fully understood. The Lyapunov function can provide us such knowledge once it is con…
Exact Mapping Noisy van der Pol Type Oscillator onto Quasi-symplectic Dynamics
Ruoshi Yuan, Xinan Wang, Yian Ma +2
We find exact mappings for a class of limit cycle systems with noise onto quasi-symplectic dynamics, including a van der Pol type oscillator. A dual role potential function is obta…
Potential Function in a Continuous Dissipative Chaotic System: Decomposition Scheme and Role of Strange Attractor
Yian Ma, Qijun Tan, Ruoshi Yuan +2
In this paper, we demonstrate, first in literature known to us, that potential functions can be constructed in continuous dissipative chaotic systems and can be used to reveal thei…
Zero Mass Limit and Its Experimental Test
Ruoshi Yuan, Ping Ao
J. M. Sancho [Phys. Rev. E 84, 062102 (2011)] analyzed two stochastic interpretations on a recent experiment [Phys. Rev. Lett. 104, 170602 (2010)] of Brownian colloidal particles.…
Relation of a New Interpretation of Stochastic Differential Equations to Ito Process
Jianghong Shi, Tianqi Chen, Ruoshi Yuan +2
Stochastic differential equations (SDE) are widely used in modeling stochastic dynamics in literature. However, SDE alone is not enough to determine a unique process. A specified i…
Constructive Proof of Global Lyapunov Function as Potential Function
Ruoshi Yuan, Yian Ma, Bo Yuan +1
We provide a constructive proof on the equivalence of two fundamental concepts: the global Lyapunov function in engineering and the potential function in physics, establishing a br…