Results 111 to 120 of about 180,188 (276)
1 : 3 Resonance and Chaos in a Discrete Hindmarsh-Rose Model
Journal of Applied Mathematics, 2014 1 : 3 resonance of a two-dimensional discrete Hindmarsh-Rose model is discussed by normal form method and bifurcation theory. Numerical simulations are presented to illustrate the theoretical analysis, which predict the occurrence of a closed invariant ...
Bo Li, Zhimin He
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Bifurcation analysis of a three dimensional system
Journal of Hebei University of Science and Technology, 2018 In order to enrich the stability and bifurcation theory of the three dimensional chaotic systems, taking a quadratic truncate unfolding system with the triple singularity equilibrium as the research subject, the existence of the equilibrium, the ...
Yongwen WANG, Zhiqin QIAO, Yakui XUE
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Determinants of early afterdepolarization properties in ventricular myocyte models.
PLoS Computational Biology, 2018 Early afterdepolarizations (EADs) are spontaneous depolarizations during the repolarization phase of an action potential in cardiac myocytes. It is widely known that EADs are promoted by increasing inward currents and/or decreasing outward currents, a ...
Xiaodong Huang, Zhen Song, Zhilin Qu
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Chemical Reaction Systems with a Homoclinic Bifurcation: an Inverse\n Problem [PDF]
, 2015 Tomislav Plesa +2 more
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On a Five-Dimensional Chaotic System Arising from Double-Diffusive Convection in a Fluid Layer
Abstract and Applied Analysis, 2013 A chaotic system arising from double-diffusive convection in a fluid layer is investigated in this paper based on the theory of dynamical systems. A five-dimensional model of chaotic system is obtained using the Galerkin truncated approximation.
R. Idris, Z. Siri, I. Hashim
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Global bifurcation of homoclinic solutions
Journal of Differential EquationsIn the analysis of parametrized nonautonomous evolutionary equations, bounded entire solutions are natural candidates for bifurcating objects. Appropriate explicit and sufficient conditions for such branchings, however, require to combine contemporary functional analytical methods from the abstract bifurcation theory for Fredholm operators with tools ...
Iacopo P. Longo +2 more
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Homoclinic Bifurcations with Nonhyperbolic Equilibria
SIAM Journal on Mathematical Analysis, 1990 A general geometric approach is given for bifurcation problems with homoclinic orbits to nonhyperbolic equilibrium points of ordinary differential equations. It consists of a special normal form called admissible variables, exponential expansion, strong $\lambda $-lemma, and Lyapunov–Schmidt reduction for the Poincare maps under Sil’nikov variables ...
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Homoclinic Points Calculation Method With Particle Swarm Optimization
IEEE AccessThis paper proposes a novel algorithm to accurately calculate the coordinates of homoclinic points observed in discrete-time dynamical systems. The proposed method is based on the particle swarm optimization method. Compared with the current methods, the
Tatsumi Makino +3 more
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Parametrically Excited Nonlinear Two-Degree-of-Freedom Systems with Repeated Natural Frequencies
Shock and Vibration, 1995 The method of normal forms is used to study the nonlinear response of two-degree-of-freedom systems with repeated natural frequencies and cubic nonlinearity to a principal parametric excitation.
A. H. Nayfeh, C. Chin, D. T. Mook
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