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Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Article

The Behavior of Spatially Homogeneous and Inhomogeneous Autocatalysis System at Infinity

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pp. 109–116Vol. 12Issue 2July 2014DOI: 10.1080/1726037X.2014.979707XML
Received:
07 May 2014
Accepted:
24 Jul 2014
Published Online:
03 Dec 2014
Article type:
Article
Language:
EN
Article no.:
1726037X.2014.979707
Pages:
109–116

Abstract

This paper is devoted to the study of a two dimensional spatially homogeneous and inhomogeneous autocatalysis dynamical system. Using the infinite singularity theory and projecting on Poincare hemisphere, spatially homogeneous and inhomogeneous autocatalysis system behavior at infinity explains.

Keywords

Subject Classifications

: 34A3434C0734C23

References

  1. A.Hunding, P.G.Sorensen, Size adaptation of Turing prepatterns , J. Math. Biol . 26 ( 1988 ) 27 – 39 .
  2. J.D.Murray, Mathematical Biology , second ed ., Springer-Verlag , Berlin, 1993 .
  3. S.D.Scott, P.Gray, Chemical reactions in isothermal systems: oscillations and instabilities , in: Nonlinear Phenomena and Chaos , Adam Hilger , Bristol, 1986 .
  4. W.Han, Z.H.Bao, Hopf bifurcation analysis of a reactiondiffusion Selkov system , J. Math. Anal. Appl . 356 ( 2009 ) 633 – 641 .
  5. F.Q.Yi, J.J.Wei, J.P.Shi, Diffusion-driven instability and bifurcation in the LengyelEpstein system , Nonlinear Anal. RWA 9 ( 2008 ) 1038 – 1051 .
  6. F.Q.Yi, J.X.Liu, J.J.Wei, Spatiotemporal pattern formation and multiple bifurcations in a diffusive bimolecular model , Nonlinear Anal. RWA 11 ( 5 )
  7. J.F.Zhang, W.T.Li, X.P.Yan, Hopf bifurcation and Turing instability in spatial homogeneous and inhomogeneous predatorprey models , Appl. Math. Comput . 218 ( 2011 ) 1883 – 1893 .
  8. L.Perko, Differential equations and dynamical systems . New York , Springer-Verlag, 2001
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