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Computional Dynamics for Diffusionless Lorenz Equations with Periodic Parametric Perturbation

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Abstract:

The dynamics of diffusionless Lorenz equations (DLE) with periodic parametric perturbation is studied through numerical and experimental investigations in this paper. A method for calculating Lyapunov exponents (LEs), Lyapunov dimension (LD) from time series is presented. Furthermore, bifurcation and some complex dynamic behaviors such as periodic, quasi-periodic motion and chaos which occurred in the system are analyzed. And an algorithm for detecting unstable periodic orbits (UPOs) is presented. Also, give some numerical simulation studies of the system in order to verify the analytic results.

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Periodical:

Advanced Materials Research (Volume 905)

Pages:

651-654

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.905.651

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Online since:

April 2014

Authors:

Zhen Wang*, Yong Xin Li, Xiao Jian Xi, Xian Feng Wang

Keywords:

Chaotic System, Diffusionless Lorenz Equations, Periodic Parametric Perturbation, Unstable Periodic Orbits

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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