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- W1995203047 abstract "We study the system ẋ = x(y+2z+(15/2η 2 )u), ẏ = y(x-2z-(7/2η 2 )u), ż = -z(x+y+(4/η 2 )u), u = x+y+z-1, and its two-parameter perturbations. We show that before perturbation there exists a one-parameter family of periodic solutions obtained via a nondegenarate Hopf bifurcation and after perturbation there remains at most one limit cycle of small amplitude and bounded period. Moreover, we found that a secondary Hopf bifurcation to an invariant torus occurs after the perturbation." @default.
- W1995203047 created "2016-06-24" @default.
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- W1995203047 date "2008-12-01" @default.
- W1995203047 modified "2023-10-17" @default.
- W1995203047 title "LIMIT CYCLES IN 3D LOTKA–VOLTERRA SYSTEMS APPEARING AFTER PERTURBATION OF HOPF CENTER" @default.
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- W1995203047 doi "https://doi.org/10.1142/s0218127408022615" @default.
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