No abstract is provided for this article.
No abstract is provided for this article.
This Letter presents a new hyper-chaotic system, which was obtained by adding a nonlinear quadratic controller to the second equation of the three-dimensional autonomous modified Lorenz chaotic system. The resulting hyper-chaotic system undergoes a change from hyper-chaos to limit cycle with some of its parameters changed. The phenomena were demonstrated by numerical simulations, bifurcation analysis and electronic circuit realization. The experiment results of the hyper-chaotic circuit were well agreed with the simulation results.
No abstract is provided for this article.
A survey of the authors' recent contributions are given to a new multi-constrained and multi-criteria optimization approach to the design of optimal compensators for general MIMO nonlinear feedback control systems in several practical considerations including such as robust stabilization with the presence of uncertainty, tracking and model matching, and disturbance rejection problems. First, the general framework for nonlinear closed-loop feedback systems is described in a Banach space setting in the time domain. Then, several typical optimal feedback design problems are formulated. Moreover, existence, uniqueness and characteristics theorems are established. Finally, a convergent recursive algorithm for solving the general constrained optimization is included.
No abstract is provided for this article.
This paper studies a master-slave type of chaos synchronization problem for a general form of Lur'e systems by a time-delay feedback control technique, improving some results of Yalçin et al. [2001]. Some fairly simple algebraic conditions are derived for easier verification, facilitating the design and applications of such chaos synchronization systems.
Based on the principle of energy coding, an energy function of a variety of electric potentials of a neural population in cerebral cortex is formulated. The energy function is used to describe the energy evolution of the neuronal population with time and the coupled relationship between neurons at the subthreshold and the suprathreshold states. The Hamiltonian motion equation with the membrane potential is obtained from the neuroelectrophysiological data contaminated by Gaussian white noise. The results of this research show that the mean membrane potential is the exact solution of the motion equation of the membrane potential developed in a previously published paper. It also shows that the Hamiltonian energy function derived in this brief is not only correct but also effective. Particularly, based on the principle of energy coding, an interesting finding is that in some subsets of neurons, firing action potentials at the suprathreshold and some others simultaneously perform activities at the subthreshold level in neural ensembles. Notably, this kind of coupling has not been found in other models of biological neural networks.
Using analytic methods from the dynamical systems theory, some new nonlinear wave equations are investigated, which have exact explicit parametric representations of breaking loop-solutions under some fixed parameter conditions. It is shown that these parametric representations are associated with some families of open level-curves of traveling wave systems corresponding to such nonlinear wave equations, each of which lies in an area bounded by a singular straight line and the stable and the unstable manifolds of a saddle point of such a system.
A very simple 4D system with a twin‐star hyperchaotic attractor is presented in this letter. Computer simulation is given to visualize the attractor, and a simple circuitry is designed for system implementation. Copyright © 2003 John Wiley & Sons, Ltd.
No abstract is provided for this article.
No abstract is provided for this article.
Asymptotic behavior of all solutions of the delayed logistic system x/sub n+1/+ax/sub n/=/spl mu//sub n/x/sub n/(1-x/sub n-/spl sigma//) is investigated. Some sufficient conditions for this equation to be stable are derived, and some necessary and sufficient conditions for oscillations of its solutions are also obtained.
The name of our Society is “Circuits and Systems”. For most of our members, “circuit” needs no explanation. However, the question of what a “system” is requires some further consideration. At random, I asked several individuals and received somewhat different albeit similar answers—a few even used the word “network” to describe “system”.