Asset price dynamics in a financial market with fundamentalists and chartists.
Chiarella, Carl, Dieci, Roberto, Gardini, Laura (2001)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Bifurcation analysis of the Hénon map.”
Asset price dynamics in a financial market with fundamentalists and chartists.
Impulsivity in binary choices and the emergence of periodicity.
Bischi, Gian Italo, Gardini, Laura, Merlone, Ugo (2009)
Discrete Dynamics in Nature and Society
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Hopf-like bifurcations in planar piecewise linear systems.
Emilio Freire, Enrique Ponce, Francisco Torres (1997)
Publicacions Matemàtiques
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Continuous planar piecewise linear systems with two linear zones are considered. Due to their low differentiability specific techniques of analysis must be developed. Several bifurcations giving rise to limit cycles are pointed out.
Global qualitative investigation, limit cycle bifurcations and Applications of Polynomial Dynamical Systems
Gaiko, Valery
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A survey on homoclinic and heterocolinic orbits.
Feng, Beiye, Hu, Rui (2003)
Applied Mathematics E-Notes [electronic only]
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Dynamical systems analysis of a five-dimensional trophic food web model in the southern oceans.
Hadley, Scott A., Forbes, Lawrence K. (2009)
Journal of Applied Mathematics
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Qualitative analysis for a class of plane systems.
Liu, Zhi-cong, Feng, Bei-ye (2004)
Applied Mathematics E-Notes [electronic only]
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Bifurcation routes to chaos in an extended Van der Pol's equation applied to economic models.
Pribylova, Lenka (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Numerical exploration of Kaldorian interregional macrodynamics: enhanced stability and predominance of period doubling under flexible exchange rates.
Asada, Toichiro, Douskos, Christos, Kalantonis, Vassilis, Markellos, Panagiotis (2010)
Discrete Dynamics in Nature and Society
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Bifurcation analysis of a van der Pol-Duffing circuit with parallel resistor.
De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
Mathematical Problems in Engineering
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Simple examples of one-parameter planar bifurcations.
Armengol Gasull, Rafel Prohens (2000)
Extracta Mathematicae
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In this paper we give simple and low degree examples of one-parameter polynomial families of planar differential equations which present generic, codimension one, isolated, compact bifurcations. In contrast with some examples which appear in the usual text books each bifurcation occurs when the bifurcation parameter is zero. We study the total number of limit cycles that the examples present and we also make their phase portraits on the Poincaré sphere.