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Spatially nonhomogeneous pattern generated by homoclinic/equilibrium bifurcations

In: Tatra Mountains Mathematical Publications, vol. 4, no. 1
Lin Xiao-Biao
Detaily:
Rok, strany: 1994, 147 - 152
O článku:
Assume that an ODE system has a homoclinic solution asymptotic to a hyperbolic equilibrium $E$. Breaking of the homoclinic solution creates stable period solutions [L. P. Silnikov: On the generation of a periodic motion from trajectories doublely asymptotic to an equilibrium state of saddle type, Math. USSR–Sb. 6 (1986), 427–438]. After adding diffusion, $E$ becomes nonhyperbolic, and stable spatially nonhomogeneous (SN) periodic solutions can be generated. When Neumann boundary conditions are imposed, simple or double SN periodic solutions can be generated depending on the twistedness of the homoclinic solution. Systems with spatially periodic boundary conditions are also studied.
Ako citovať:
ISO 690:
Xiao-Biao, L. 1994. Spatially nonhomogeneous pattern generated by homoclinic/equilibrium bifurcations. In Tatra Mountains Mathematical Publications, vol. 4, no.1, pp. 147-152. 1210-3195.

APA:
Xiao-Biao, L. (1994). Spatially nonhomogeneous pattern generated by homoclinic/equilibrium bifurcations. Tatra Mountains Mathematical Publications, 4(1), 147-152. 1210-3195.