Analysis of a Nonlinear System with a Random Parameter

Hong Gang Dang; Xiao Ya Yang; Wan Sheng He

doi:10.4028/www.scientific.net/AMM.721.366

Paper Titles

Analysis on Composite Action Control Strategy of Separate Meter-In Separate Meter-Out Control System
p.342

A Design and Implementation for the Auto-Booting of Baseband Board with ARM, DSP and FPGA
p.349

Reliability Evaluation for Distribution System Considering the Access of Distributed Generations
p.355

Transformer Fault Diagnosis Based on Online Sequential Extreme Learning Machine
p.360

Analysis of a Nonlinear System with a Random Parameter
p.366

The Research on Flow Calculation Method of the Ball Solenoid Valve
p.370

Reflection Plane Precision Measuring Methods Research of Shipborne Measurement and Control Antenna
p.374

Echo Doppler Fidelity’s Verification of Radar Simulator
p.378

About Several Kinds of Probe on the Impact of Different Failure Modes on Inspection Speed Analysis
p.382

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 721Analysis of a Nonlinear System with a Random...

Analysis of a Nonlinear System with a Random Parameter

Abstract:

In this paper, a nonlinear system with random parameter, which is called stochastic fractional-order complex Lorenz system, is investigated. The Laguerre polynomial approximation method is used to study the system. Then, the stochastic fractional-order system is reduced into the equivalent deterministic one with Laguerre approximation. The ensemble mean and sample responses of the stochastic system can be obtained.

You might also be interested in these eBooks

Vehicle, Mechanical and Electrical Engineering

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volume 721)

Pages:

366-369

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.721.366

Citation:

Cite this paper

Online since:

December 2014

Authors:

Hong Gang Dang*, Xiao Ya Yang, Wan Sheng He

Keywords:

Laguerre Polynomial Approximation, Nonlinear System, Random Parameter

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] G. Mahmoud, T. Bountis : The dynamics of systems of complex nonlinear oscillators: a review. Int. J. Bifurcation chaos, 14 (2004): 3821-3846.

DOI: 10.1142/s0218127404011624

Google Scholar

[2] M. Moghtadaei and M.H. Golpayegani Complex dynamic behaviors of the complex Lorenz system. Scientia Iranica 19(2012): 733-738.

DOI: 10.1016/j.scient.2010.11.001

Google Scholar

[3] G. Mahmoud, S. Aly, M. AL-Kashif: Dynamical properties and chaos synchronization of a new chaotic complex system. Nonlinear Dynamics, 51(2008): 171-181.

DOI: 10.1007/s11071-007-9200-y

Google Scholar

[4] C. Ning, H. Hake : Detuned laser and the complex Lorenz equations-subcritical and supercritical hopf bifurcations. Physical Review A, 41(1990): 591-598.

DOI: 10.1103/physreva.41.3826

Google Scholar

[5] G. Mahmoud, E. Mahmoud, M. Ahmed: On the hyperchaotic complex Lorenz system. Nonlinear Dynamics, 58 (2009): 725-738.

DOI: 10.1007/s11071-009-9513-0

Google Scholar