Results 151 to 160 of about 10,336 (188)

A predator-prey model with age-structured role reversal. [PDF]

J Math Biol
Suarez LC, Cameron MK, Fagan WF, Levy D.
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Neuronal Network Dynamics in the Posterodorsal Amygdala: Shaping Reproductive Hormone Pulsatility

Nechyporenko K, Voliotis M, Li XF, Hollings O, Ivanova D, Walker JJ, O’Byrne KT, Tsaneva-Atanasova K.   +7 more
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Homoclinic points of non-expansive automorphisms

Aequationes mathematicae, 2008
We study homoclinic points of non-expansive automorphisms of compact abelian groups. Connections between the existence of non-trivial homoclinic points, expansiveness, entropy and adjoint automorphisms (in the sense of Einsiedler and Schmidt) are explored.
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Universal pattern for homoclinic and periodic points

Physica D: Nonlinear Phenomena, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bevilaqua, D. V., de Matos, M. Basílio
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Numerical Computation of Saddle-Node Homoclinic Bifurcation Points

SIAM Journal on Numerical Analysis, 1993
This paper presents the convergence and stability of a numerical method for computing the intersection points of homoclinic bifurcation curves and saddle-node or transcritical bifurcation curves.
Stephen Schecter
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Homoclinic points near degenerate homoclinics

Nonlinearity, 1995
The authors establish the existence of a foliation in the space of parameters for which the corresponding differential systems admit homoclinic points.
Schalk, U., Knobloch, J.
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Homoclinic orbits to parabolic points

Nonlinear Differential Equations and Applications, 1997
This paper concerns non-Hamiltonian perturbations of Hamiltonian systems. Using Poincaré-Melnikov method, orbits which are homoclinic to degenerate periodic orbits of parabolic type are studied, specially the existence of transversal homoclinic points. The method used in this paper is related to a work of \textit{E.
Casasayas, Josefina, Fontich, Ernest, Nunes, Ana   +2 more
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Poincar�'s discovery of homoclinic points

Archive for History of Exact Sciences, 1994
The author claims that the most radical break with prevailing conceptions was Poincaré's discovery of homoclinic points, which nowadays figure in studies of ``chaotic'' motions. The presence of a homoclinic point in a dynamical system complicates the orbit structure considerably and implies the existence of trajectories with quite unpredictable ...
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The homoclinic twist bifurcation point

1992
We analyze bifurcations occurring in the vicinity of a homoclinic twist point for a generic two parameter family of Z 2 equivariant ODE’s in four dimensions. The results are compared with numerical results for a system of two coupled Josephson junctions with pure capacitive load.
Aronson, D.G., van Gils, S.A., Krupa, M.
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Homoclinic points in higher dimensional dynamical systems

Physica Scripta, 1991
A Melnikov type condition for the existence of homoclinic points in higher dimensional dynamical systems is discussed. An application to the homoclinic bifurcations in a parametrically driven Lorenz system is described. For selected parameters the theoretical predictions are checked by numerical experiments.
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