Results 31 to 40 of about 170,441 (221)

A nonautonomous transcritical bifurcation problem with an application to quasi-periodic bubbles

Discrete & Continuous Dynamical Systems - A, 2003
In this interesting paper, the authors study the phenomenon of stability breakdown for nonautonomous ordinary differential equations whose time dependence is determined by a strictly ergodic flow. More precisely, an approach for a nonautonomous version of the classical transcritical bifurcation is provided.
Russell Johnson, Francesca Mantellini
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Nonautonomous transcritical and pitchfork bifurcations in impulsive systems [PDF]

Miskolc Mathematical Notes, 2013
For the first time analogues of nonautonomous transcritical and pitchfork bifurcations are investigated for impulsive systems.
Marat Akhmet, Ardak Kashkynbayev
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A transcritical bifurcation in an immune response model

Journal of Difference Equations and Applications, 2011
The consequences of regulatory T cell (Treg) inhibition of interleukine 2 secretion are examined by mathematical modelling. We find a transcritical bifurcation that might explain two alternative scenarios: in one case the appearance of autoimmune responses and in another the suppression of the immune response.
Burroughs, N. J., Ferreira, Miguel, Oliveira, B. M. P. M., Pinto, A. A.   +3 more
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Transcritical Hopf bifurcation and breathing of limit cycles in sequential tunnelling of superlattices [PDF]

New Journal of Physics, 2004
Within a discrete drift model, we study the evolution of the self-sustained current oscillation (SSCO) solutions (limit cycles) in sequential tunnelling of superlattices under dc bias. We propose two possible modes: one is co-existence of both fixed point and limit cycle solutions, exchanging stabilities at the bifurcation point, termed the ...
Z. Z. Sun, K. L. Chen, Sun Yin, Hongtao He, Jiannong Wang, Y Q Wang, X. R. Wang   +6 more
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Bifurcation and hybrid control of a discrete eco-epidemiological model with Holling type-III. [PDF]

PLoS ONE
In this paper, a three dimensional discrete eco-epidemiological model with Holling type-III functional response is proposed. Boundedness of the solutions of the system is analyzed.
Lizhi Fei, Hengmin Lv, Heping Wang
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Functional shift-induced degenerate transcritical Neimark-Sacker bifurcation in a discrete hypercycle

, 2023
In this article we investigate the impact of functional shifts in a time-discrete cross-catalytic system. We use the hypercycle model considering that one of the species shifts from a cooperator to a degradader. At the bifurcation caused by this functional shift, an invariant curve collapses to a point $P$ while, simultaneously, two fixed points ...
Ernest Fontich, Antoni Guillamon, Júlia Perona, Josep Sardanyés   +3 more
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Complicate dynamical properties of a discrete slow-fast predator-prey model with ratio-dependent functional response [PDF]

Scientific Reports, 2023
Using a semidiscretization method, we derive in this paper a discrete slow-fast predator-prey system with ratio-dependent functional response. First of all, a detailed study for the local stability of fixed points of the system is obtained by invoking an
Xianyi Li, Jiange Dong
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Mathematical remarks on transcritical bifurcation in Hamiltonian systems

, 2007
This article is meant as a mathematical appendix or comment on [BT]. We first consider the notion of transcritical bifurcations of fixed points of general area-preserving maps, and then adress some questions related to [BT] on bifurcation in Poincar maps of 2-dimensional Hamiltonian systems. [BT] M. Brack and K.
Klaus Jaenich
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Stability switching at transcritical bifurcations of solitary waves in generalized nonlinear Schrödinger equations [PDF]

Physics Letters A, 2013
Linear stability of solitary waves near transcritical bifurcations is analyzed for the generalized nonlinear Schroedinger equations with arbitrary forms of nonlinearity and external potentials in arbitrary spatial dimensions. Bifurcation of linear-stability eigenvalues associated with this transcritical bifurcation is analytically calculated.
Jianke Yang
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Research on Stability and Bifurcation for Two-Dimensional Two-Parameter Squared Discrete Dynamical Systems

Mathematics
This study investigates a class of two-dimensional, two-parameter squared discrete dynamical systems. It determines the conditions for local stability at the fixed points for these proposed systems.
Limei Liu, Xitong Zhong
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