Nonlinear optimal control of population systems: applications in ecosystems

This article investigates the chaotic Lotka–Volterra system as an optimal nonlinear design problem for biological pest control strategies. In the biological control strategy, natural enemies are introduced such that the pest density is stabilized below the economic injury level, and the population of natural enemies remains sufficiently high to control the pests. Applying dynamic programming, this problem was reduced to the Hamilton–Jacobi–Bellman equation. The functions satisfying the reduced equation were obtained among the correspondent Lyapunov functions of the considered Lotka–Volterra system. A closed-form optimal feedback control law was derived. The effectiveness of the method is verified by numerical simulations of biological pest control. The biological implications of these results are also discussed.     

Preface: theory,methods, and applications of mesoscopic modeling

正With increasing attention to complex fluids and soft matter,we have witnessed a fastgrowing research in mesoscopic modeling and simulation in the past decades.The development of mesoscopic methods offers many potential opportunities as well as challenges in modeling of complex materials for diverse applications.Despite significant progress in the past decade,mesoscopic methods are still under development.New formulation in the models,novel theo-     

Preface to the Special Issue in Memory of Professor Russell A. Johnson

Journal of Dynamics and Differential Equations -     

Preface to the Special Issue in Celebration of Professor Shouwen Yu’s 70th Birthday

Shouwen Yu,emeritus Professor of Applied Mechanics at Tsinghua University,was born on May 4,1939 in Xianyou County,Fujian Province of China.From 1955 to 1958,he studied as an undergraduate     

Preface to the Special Issue on the Dynamic Behaviors and Energy Absorption of Materials and Structures

In this themed issue of Acta Mechanica Solida Sinica (AMSS),leading experts and researchers are joining together to celebrate Professor Tongxi Yu's 80th birthda...     

Chaotic dynamics in simple neuronal systems: theory and applications

The ubiquitous feature of the nervous system of wide spread occurrence of complex dynamics behaviour is treated. The cardinal question concerning the nature of generators of such complex behaviour, namely if it is ad hoc random or deterministic but strongly nonlinear, is analyzed. It is proved analytically that the discrete dynamics of single neurons with the sigmoidal transfer function is potentially chaotic. As the by-product the functional gain-threshold mechanism in neurons is derived. This allows for the new interpretations of famous experiments by Miyashita on squirell monkeys. Then it is shown that the continuous dynamics of the neural circuits of two-three neurons are endowed with the potentiality of chaotic firing, too. Finally, it will be argued that the classical dogma of stochastic or the ad hoc random neural coding can be taken as the limiting case of presenting new approach of deterministic or chaotic paradigm.     

Preface to the Special Issue in Celebration of Professor Shouwen Yu＇s 70th Birthday

Shouwen Yu, emeritus Professor of Applied Mechanics at Tsinghua University, was born ,on May 4, 1939 in Xianyou County, Fujian Province of China. From 1955 to 1958, he studied as an undergraduate student in Department of Civil Structures of Tongji University at Shanghai.     

Computational dynamics: theory and applications of multibody systems

Multibody system dynamics is an essential part of computational dynamics a topic more generally dealing with kinematics and dynamics of rigid and flexible systems, finite elements methods, and numerical methods for synthesis, optimization and control including nonlinear dynamics approaches. The theoretical background of multibody dynamics is presented, the efficiency of recursive algorithms is shown, methods for dynamical analysis are summarized, and applications to vehicle dynamics and biomechanics are reported. In particular, the wear of railway wheels of high-speed trains and the metabolical cost of human locomotion is analyzed using multibody system methods.     

Introduction to the Special Issue: Evolutionary Economics

Nonlinear Dynamics, Psychology, and Life Sciences -     

Dispersion in Heterogeneous Geological Formations: Preface (Transport in Porous Media – Special Issue)

Transport in Porous Media -     

Introduction to the Special Issue: Fundamental Problems in Biocomplexity

Nonlinear Dynamics, Psychology, and Life Sciences -     

浅析非线性科学及其在力学问题中的应用

本文主要从孤子、混沌、分形理论以及神经网络这4个方面讨论了非线性科学的主要特点与重要应用, 并结合实例说明在力学问题研究中的应用.     

<非线性随机动力学与控制——Hamilton理论体系框架>评介

自然、工程、与社会中广泛存在非线性随机动力学现象.随机运动是大量样本运动的集合,从各个样本运动来看,变化似无规律可言;但从总体来看,却有一定的统计规律性.非线性可使系统的运动规律变得十分复杂、丰富多彩.关于非线性随机动力学的研究始于上世纪中叶,经历了几十年的发展,已经有了长足进步,但离认识的‘自由王国’尚路途遥远.     

Preface: Frontiers and current applications in elasticity

<正>The elasticity,viz.,the deformation recoverability without energy dissipation,is known as a basic aspect in various deformation behaviors of solid materials.Typical examples are small and large elastic deformations characteristic of hard solids(e.g.,metals)and soft solids(e.g.,elastomers),respectively.The theory of elasticity for both small and     

Guaranteed cost nonlinear sampled-data control: applications to a class of chaotic systems

Nonlinear Dynamics - This paper addresses the guaranteed cost sampled-data controller synthesis and analysis problems with application to nonlinear chaotic systems. A linear parameter-varying (LPV)...     

Editorial to the Special Issue: Adsorption,Absorption and Thermochemical Transport Processes in Complex Porous Structures

Transport in Porous Media - The theme of coupling problems for adsorption, absorption and thermochemical transport in porous media is very important for engineering applications. Based on the...