Periodic points and bifurcation of one-dimensional maps
J. Ombach (1985)
Applicationes Mathematicae
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Displaying similar documents to “Quadratic regular reversal maps.”
Periodic points and bifurcation of one-dimensional maps
One-dimensional and two-dimensional dynamics of cubic maps.
Ilhem, Djellit, Amel, Kara (2006)
Discrete Dynamics in Nature and Society
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Analytical investigation of the onset of bifurcation cascade in two logistic-like maps.
Panchev, S. (2001)
Discrete Dynamics in Nature and Society
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Breaking the continuity of a piecewise linear map
Viktor Avrutin, Michael Schanz, Björn Schenke (2012)
ESAIM: Proceedings
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Knowledge about the behavior of discontinuous piecewise-linear maps is important for a wide range of applications. An efficient way to investigate the bifurcation structure in 2D parameter spaces of such maps is to detect specific codimension-2 bifurcation points, called organizing centers, and to describe the bifurcation structure in their neighborhood. In this work, we present the organizing centers in the 1D discontinuous piecewise-linear...
Period-doublings and orbit-bifurcations in symmetric systems
A. Vanderbauwhede (1989)
Banach Center Publications
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Smooth transformations of intervals
Oscar E. Lanford III (1980-1981)
Séminaire Bourbaki
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Feigenbaum numbers of certain flat-top families.
Thunberg, Hans (1994)
Experimental Mathematics
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Different types of scaling in the dynamics of period-doubling maps under external periodic driving.
Ivan'kov, N.Yu., Kuznetsov, S.P. (2000)
Discrete Dynamics in Nature and Society
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Periodic solutions near an equilibrium of a differential equation with a first integral
Wacław Marzantowicz, Adam Parusiński (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system
Hongtao Liang, Yanxia Tang, Li Li, Zhouchao Wei, Zhen Wang (2013)
Kybernetika
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In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.