BEHAVIOR OF A WEAK COUPLED MAP SYSTEM IN THE PERIODIC WINDOWS | Zendy

E. J. Ding | Zendy; Lü YAM-NAN | Zendy

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BEHAVIOR OF A WEAK COUPLED MAP SYSTEM IN THE PERIODIC WINDOWS

Author(s) -

E. J. Ding,

Lü YAM-NAN

Publication year - 1992

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.41.704

Subject(s) - zigzag , lyapunov exponent , coupling (piping) , window (computing) , coupling strength , physics , computer science , geometry , mathematics , materials science , condensed matter physics , nonlinear system , quantum mechanics , metallurgy , operating system

It is shown analytically as well as numerically that a periodic window of the coupled map system exists only for very weak coupling strength (about 10-3 for period 3 window, for instance), which could be defined as the depth of the window. Within the windows the behavior of the coupled map system could be recovered by dealing with a few number of modes, which consist of coupled three maps. The first Lyapunov exponent for the coupled map system shows a "zigzag" curve form virsus the coupling strength.

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