Hopf Bifurcation in Numerical Approximation for Price Reyleigh Equation with Finite Delay
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Authors
M. Taheri-dehkordi
- University of Applied Science and Technology, Iran.
G. Aliasghari
- University of Shahid Beheshti, Tehran, Iran.
Abstract
The numerical approximation of Price Reyleigh equation is considered using delay as parameter. Fist,
the delay difference equation obtained by using Euler method is written as a map.According to the
theories of bifurcation for discrete dynamical systems, the conditions to guarantee the existence of Hopf
bifurcation for numerical approximation are given. The relations of Hopf bifurcation between the
continuous and the discrete are discussed. That when the Price Reyleigh equation has Hopf bifurcations at
\(r=r_0\), the numerical approximation also has Hopf bifurcations at \(r_h+r_0=0_h\) is proved.
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ISRP Style
M. Taheri-dehkordi, G. Aliasghari, Hopf Bifurcation in Numerical Approximation for Price Reyleigh Equation with Finite Delay, Journal of Mathematics and Computer Science, 13 (2014), no. 3, 186-193
AMA Style
Taheri-dehkordi M., Aliasghari G., Hopf Bifurcation in Numerical Approximation for Price Reyleigh Equation with Finite Delay. J Math Comput SCI-JM. (2014); 13(3):186-193
Chicago/Turabian Style
Taheri-dehkordi, M., Aliasghari, G.. "Hopf Bifurcation in Numerical Approximation for Price Reyleigh Equation with Finite Delay." Journal of Mathematics and Computer Science, 13, no. 3 (2014): 186-193
Keywords
- Price Reyleigh equation
- Euler method
- Hopf bifurcation
- Numericalapproximation.
MSC
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