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Basin size evolution between dissipative and conservative limits

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Basin size evolution between dissipative and conservative limits

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Título Basin size evolution between dissipative and conservative limits
Autor Rech, Paulo Cesar
Beims, Marcus Werner
Gallas, Jason Alfredo Carlson
Abstract Recent methods for stabilizing systems like, e.g., loss-modulated CO2 lasers, involve inducing controlled monostability via slow parameter modulations. However, such stabilization methods presuppose detailed knowledge of the structure and size of basins of attraction. In this Brief Report, we numerically investigate basin size evolution when parameters are varied between dissipative and conservative limits. Basin volumes shrink fast as the conservative limit is approached, being well approximated by Gaussian profiles, independently of the period. Basin shrinkage and vanishing is due to the absence of bounded motions in the Hamiltonian limit. In addition, we find basin volume to remain essentially constant along a peculiar parameter path along which it is possible to recover the dissipation rate solely from metric properties of self-similar structures in phase-space.
Contido em Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 71, no. 1 (Jan. 2005), 017202, 4 p.
Assunto Caos
Laser de gas
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/101616
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