Results 261 to 270 of about 1,048,174 (296)

Fixed-point bifurcation analysis in biological models using interval polynomials theory

Biological Cybernetics, 2014
The paper proposes a systematic method for fixed-point bifurcation analysis in circadian cells and similar biological models using interval polynomials theory. The stages for performing fixed-point bifurcation analysis in such biological systems comprise (i) the computation of fixed points as functions of the bifurcation parameter and (ii) the ...
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Period-Adding Bifurcation with Chaos in the Interspike Intervals Generated by an Experimental Neural Pacemaker

International Journal of Bifurcation and Chaos, 1997
The dynamics of the generation of the various spike trains in neural pacemakers is of fundamental importance to the understanding of neural coding. Recent studies have demonstrated, theoretically and experimentally, that neural pacemakers produce chaotic oscillations.
W. Ren, S. J. Hu, B. J. Zhang, F. Z. Wang, Y. F. Gong, J. X. Xu   +5 more
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Stability on finite time interval and time-dependent bifurcation analysis of Duffing's equations

Communications in Nonlinear Science and Numerical Simulation, 1999
Let \(f: \mathbb{R}^n \times \mathbb{R} \rightarrow \mathbb{R}^n\) be continuously differentiable satisfying \(f(0,0)=0,\) let \(f_x (0,0)\) be singular. The authors are interested in studying the dynamic bifurcation problem \(dx/dt = f(x,\lambda)\) with \(\lambda = \lambda (\varepsilon t)\) where \(\varepsilon\) is a small parameter.
Hua, Cuncai, Lu, Qishao
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The global interval bifurcation for Kirchhoff type problem with an indefinite weight function

Journal of Differential Equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fumei Ye, Shubin Yu
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Bifurcation interval for positive solutions to discrete second-order boundary value problems

Journal of Difference Equations and Applications, 2011
Let be an integer with , , . We give a global description of the branches of positive solutions of the nonlinear eigenvalue problem which are not necessarily linearizable. Our approaches are based on topological degree and global bifurcation techniques.
Ruyun Ma, Chenghua Gao, Youji Xu
openaire   +1 more source

Entropy and rotation intervals for circle maps near saddle-node bifurcations

Mathematische Zeitschrift, 2000
This paper is devoted to dynamical properties of a one-parameter family of \(C^r\) endomorphisms \(f_\lambda\) of the circle. To this end a formulation of the rotation interval and topological entropy are discussed. The author shows that (admitting that \(f_\lambda\) exhibits nontrivial behaviour) the topological entropy and the width of the rotation ...
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An interval polynomial theory approach to fixed-point bifurcation analysis in biological models

Proceeding of the 11th World Congress on Intelligent Control and Automation, 2014
A systematic method for fixed point bifurcations analysis in biological models is proposed using interval polynomials theory. Fixed point bifurcation analysis comprises the following stages (i) the computation of fixed points as functions of the bifurcation parameter and (ii) the evaluation of the type of stability for each fixed point through the ...
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Bifurcation from interval and positive solutions of Minkowski-curvature on unbounded domain

Journal of Mathematical Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model

Chaos, Solitons and Fractals, 2021
Qizhi He, Houjun Liang
exaly  

Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems

Physics Reports, 2022
David J. W. Simpson
exaly