31,963 research outputs found
Optimum PID Control of Multi-wing Attractors in A Family of Lorenz-like Chaotic Systems
Multi-wing chaotic attractors are highly complex nonlinear dynamical systems
with higher number of index-2 equilibrium points. Due to the presence of
several equilibrium points, randomness of the state time series for these
multi-wing chaotic systems is higher than that of the conventional double wing
chaotic attractors. A real coded Genetic Algorithm (GA) based global
optimization framework has been presented in this paper, to design optimum PID
controllers so as to control the state trajectories of three different
multi-wing Lorenz like chaotic systems viz. Lu, Rucklidge and Sprott-1 system.Comment: 6 pages, 21 figures; 2012 Third International Conference on
Computing, Communication and Networking Technologies (ICCCNT'12), July 2012,
Coimbator
Dynamics of delay induced composite multi-scroll attractor and its application in encryption
This work was supported in part by NSFC (60804040, 61172070), Key Program of Nature Science Foundation of Shaanxi Province (2016ZDJC-01), Innovative Research Team of Shaanxi Province(2013KCT-04), Fok Ying Tong Education Foundation Young Teacher Foundation(111065), Chao Bai was supported by Excellent Ph.D. research fund (310-252071603) at XAUT.Peer reviewedPostprin
Estimation of System Parameters and Predicting the Flow Function from Time Series of Continuous Dynamical Systems
We introduce a simple method to estimate the system parameters in continuous
dynamical systems from the time series. In this method, we construct a modified
system by introducing some constants (controlling constants) into the given
(original) system. Then the system parameters and the controlling constants are
determined by solving a set of nonlinear simultaneous algebraic equations
obtained from the relation connecting original and modified systems. Finally,
the method is extended to find the form of the evolution equation of the system
itself. The major advantage of the method is that it needs only a minimal
number of time series data and is applicable to dynamical systems of any
dimension. The method also works extremely well even in the presence of noise
in the time series. This method is illustrated for the case of Lorenz system.Comment: 12 pages, 4 figure
Pinning control of fractional-order weighted complex networks
In this paper, we consider the pinning control problem of fractional-order weighted complex dynamical networks. The well-studied integer-order complex networks are the special cases of the fractional-order ones. The network model considered can represent both directed and undirected weighted networks. First, based on the eigenvalue analysis and fractional-order stability theory, some local stability properties of such pinned fractional-order networks are derived and the valid stability regions are estimated. A surprising finding is that the fractional-order complex networks can stabilize itself by reducing the fractional-order q without pinning any node. Second, numerical algorithms for fractional-order complex networks are introduced in detail. Finally, numerical simulations in scale-free complex networks are provided to show that the smaller fractional-order q, the larger control gain matrix D, the larger tunable weight parameter , the larger overall coupling strength c, the more capacity that the pinning scheme may possess to enhance the control performance of fractional-order complex networks
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