Linear bifurcation analysis with applications to relative socio-spatial dynamics.
Sonis, M. (1997)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Critical bifurcation surfaces of 3D discrete dynamics.”
Linear bifurcation analysis with applications to relative socio-spatial dynamics.
Neimark-Sacker bifurcation in a discrete-time financial system.
Xin, Baogui, Chen, Tong, Ma, Junhai (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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Numerical exploration of Kaldorian macrodynamics: Enhanced stability and predominance of period doubling and chaos with flexible exchange rates.
Asada, Toichiro, Douskos, Christos, Markellos, Panagiotis (2008)
Discrete Dynamics in Nature and Society
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Bifurcations in a modulation equation for alternans in a cardiac fiber
Shu Dai, David G. Schaeffer (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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While alternans in a single cardiac cell appears through a simple period-doubling bifurcation, in extended tissue the exact nature of the bifurcation is unclear. In particular, the phase of alternans can exhibit wave-like spatial dependence, either stationary or travelling, which is known as alternans. We study these phenomena in simple cardiac models through a modulation equation proposed by Echebarria-Karma. As shown in our previous paper, the zero solution of their equation may...
The emergence of bull and bear dynamics in a nonlinear model of interacting markets.
Tramontana, Fabio, Gardini, Laura, Dieci, Roberto, Westerhoff, Frank (2009)
Discrete Dynamics in Nature and Society
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Numerical exploration of Kaldorian macrodynamics: Hopf-Neimark bifurcations and business cycles with fixed exchange rates.
Asada, Toichiro, Douskos, Christos, Markellos, Panagiotis (2007)
Discrete Dynamics in Nature and Society
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The effect of infinitesimal damping on the dynamic instability mechanism of conservative systems.
Sophianopoulos, Dimitris S., Michaltsos, George T., Kounadis, Anthony N. (2008)
Mathematical Problems in Engineering
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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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Global Hopf bifurcation analysis for a time-delayed model of asset prices.
Qu, Ying, Wei, Junjie (2010)
Discrete Dynamics in Nature and Society
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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.