搜索结果: 1-15 共查到“数学 bifurcation”相关记录42条 . 查询时间(0.124 秒)
Hopf bifurcation formula for first order differential-delay equations
Hopf bifurcation Differential delay equation DDE Retarded functional differential equation RFDE
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2015/8/27
This work presents an explicit formula for determining the radius of a limit cycle which is born in a Hopf bifurcation in a class of first order constant coefficient differential-delay equations. The ...
LOCAL CONNECTIVITY OF JULIA SETS AND BIFURCATION LOCI:THREE THEOREMS OF J.-C. YOCCOZ
LOCAL CONNECTIVITY JULIA SETS BIFURCATION LOCI THREE THEOREMS OF J.-C. YOCCOZ
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2015/8/26
This paper consists of three parts, each devoted to a result due to J.-C. Yoccoz.The proofs are all somewhat modied, but they are also deeply in!uenced byYoccoz's work.
Singular Hopf Bifurcation in Systems with Two Slow Variables
Hopf bifurcation mixed mode oscillation singular perturbation
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2015/8/25
Hopf bifurcations have been studied intensively in two dimensional vector fields with one slow
and one fast variable [′E. Benoˆıt et al., Collect. Math., 31 (1981), pp. 37–119; F. Dumortier...
BIFURCATION OF THE HODGKIN AND HUXLEY EQUATIONS: A NEW TWIST
NEW TWIST HUXLEY EQUATIONS:
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2015/8/25
The Hodgkin and Huxley equations model action potentials in squid giant axons. Variants of
these equations are used in most models for electrical activity of excitable membranes.
Computational tools...
Asymptotic Analysis of Subcritical Hopf-Homoclinic Bifurcation
Hopf-Homoclinic Bifurcation Asymptotic
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2015/8/25
termined by the coincidence of a subcritical Hopf bifurcation with a homoclinic orbit
of the Hopf equilibrium. Our work is motivated by our previous analysis of a
Hodgkin-Huxley neuron model which p...
Topological bifurcation theory : old and new Jean Mawhin Universite Catholique de Louvain
Topological bifurcation theory Jean Mawhin Universite Catholique de Louvain
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2015/4/3
Topological bifurcation theory : old and new Jean Mawhin Universite Catholique de Louvain.
Conditioned Likelihoods Using Bifurcation Continuation in Inverse Modeling of Dynamical Systems
Conditioned Likelihoods Bifurcation Continuation Inverse Modeling Dynamical Systems
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2012/11/23
The Morris-Lecar (ML) model has applications to neuroscience and cognition. A simple network consisting of a pair of synaptically coupled ML neurons can exhibit a wide variety of deterministic behavio...
Hopf bifurcation with zero frequency and imperfect SO(2) symmetry
Hopf bifurcation zero frequency imperfect SO(2) symmetry Dynamical Systems
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2012/6/29
Rotating waves are periodic solutions in SO(2) equivariant dynamical systems. Their precession frequency changes with parameters and it may change sign, passing through zero. When this happens, the dy...
Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres
homogeneous solutions Yamabe problem spheres Differential Geometry
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2011/9/21
Abstract: We study existence and non existence of constant scalar curvature metrics conformal and arbitrarily close to homogeneous metrics on spheres, using variational techniques. This describes all ...
The family index theorem and bifurcation of solutions of nonlinear elliptic bvp
Bifurcation Nonlinear Elliptic Boundary Value Problems Fredholm Maps Index Bundle J-homomorphism Family Index Theorem
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2011/8/31
Abstract: We obtain some new criteria for bifurcation of solutions of general boundary value problems for nonlinear systems of elliptic partial differential equations which are rather different from t...
Numerical Bifurcation Analysis of Conformal Formulations of the Einstein Constraints
bifurcation theory nonlinear PDE non-uniqueness solution folds pitchfork bifurcation compact operators Fredholm operators
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2011/8/23
Abstract: The Einstein constraint equations have been the subject of study for more than fifty years. The introduction of the conformal method in the 1970's as a parameterization of initial data for t...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation stationary front
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2011/3/1
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation
Chaos and Dynamical Systems 4D surfaces of section Hopf Bifurcation Galactic
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2011/3/2
We study the orbital behavior at the neighborhood of complex unstable periodic orbits in a 3D
autonomous Hamiltonian system of galactic type. At a transition of a family of periodic orbits
from stab...
Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit
Bose-Einstein condensates Vortices Dark solitons Bifurcations
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2010/12/28
We study the existence and stability properties of clusters of alternating charge vortices in Bose-Einstein condensates. It is illustrated that such states emerge from cascades of symmetry-breaking bi...
Bifurcation diagrams on iso-energetic levels of the Kowalevski-Yehia gyrostat
Bifurcation diagrams iso-energetic levels Kowalevski-Yehia gyrostat
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2011/3/3
Предложен новый взгляд на классификацию бифуркационных диаграмм и условия существования критических движений интегрируемой задачи о движении тяжелого гиростата при условиях типа Кова-левской (случай и...