supported in part by National Natural Science Foundation of China (Grant Nos.62025307,62333023,62311530097);Beijing Municipal Natural Science Foundation (Grant No.L243014);CAS Project for Young Scientists in Basic Research (Grant No.YSBR-034)。
Learning from demonstrations provides effective methods for teaching robot manipulation skills.However, capturing periodic manipulation skills remains challenging with the current techniques. To address this gap, we i...
We propose a novel framework for learning a low-dimensional representation of data based on nonlinear dynamical systems,which we call the dynamical dimension reduction(DDR).In the DDR model,each point is evolved via a...
We propose a clustering-based approach for identifying coherent flow structuresin continuous dynamical systems. We first treat a particle trajectory over a finitetime interval as a high-dimensional data point and then...
the Natural Science Foundation of Shandong Province (Grant No. ZR2020MA008);the China Postdoctoral Science Foundation (Grant No. 2018M642633)
Let A be a unital C^(*)-algebra with a state τ and G be a discrete group that acts on A through a τ-preserving action α. We first generalize the Haagerup property of dynamical systems by considering states and prov...
Shanghai Philosophy and Social Science Program,China(No.2019BGL004)。
The existence of time delay in complex industrial processes or dynamical systems is a common phenomenon and is a difficult problem to deal with in industrial control systems,as well as in the textile field.Accurate id...
Bayesian inference is a common method for conducting parameter estimation for dynamical systems.Despite the prevalent use of Bayesian inference for performing parameter estimation for dynamical systems,there is a need...
The current work proposes a new and constructive proof for the Caratheodory's theorem on existence and uniqueness of trajectories of dynamical systems. The key concern is the numerical uncertainty, i.e., the discrepan...
Supported by the Fundamental Research Funds for the Central University under Grant No.2017XKZD11
We extend two known dynamical systems obtained by Blaszak, et al. via choosing Casimir functions and utilizing Novikov-Lax equation so that a series of novel dynamical systems including generalized Burgers dynamical s...
Project supported by China Postdoctoral Science Foundation(Grant No.2014M552175);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,Chinese Education Ministry;the National Natural Science Foundation of China(Grant No.61172023);the Specialized Research Foundation of Doctoral Subjects of Chinese Education Ministry(Grant No.20114420110003)
In this paper, the structure of a new chaotic bitwise dynamical system (CBDS) is described. Compared to our previous research work, it uses various random bitwise operations instead of only one. The chaotic behavior...
supported by an the National Natural Science Foundation of China under Grant No.60804015,and an NSERC grant to the third author
This paper investigates the nonlinear dynamics of network-based dynamical systems where network communication channels of finite data rates are inserted into the closed loops of the control systems. The authors analyz...