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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2002 Volume 14, Number 11, Pages 63–77 (Mi mm528)

On some simple flow systems with chaotic regimes

M. D. Novikov, B. M. Pavlov

M. V. Lomonosov Moscow State University

Abstract: Results of computational analysis of some nonlinear 3D-flow systems are discribed. The systems are global dissipative and demonstrate complex behaviour. Generated strange attractors may have stable quasihyperbolic attractor (type of a Lorenz «butterfly») and quasiattractors. Time bifurcations, multistable regimes and chaotization by the doubling-period cascades and by the iritermittency are found. The investigation of dynamical characteristics of the systems has been carried out numerically by the program package «Nonlinear dynamical systems» (like a problem solver environment).

Received: 09.04.2001



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