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Global dynamics for a model of a class of continuous‐time dynamical systems
Author(s) -
Tian Ya,
Zhang Fuchen,
Zheng Pan
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3435
Subject(s) - mathematics , class (philosophy) , chaotic , synchronization (alternating current) , set (abstract data type) , dynamical systems theory , dynamics (music) , dynamical system (definition) , control theory (sociology) , statistical physics , mathematical analysis , control (management) , topology (electrical circuits) , computer science , combinatorics , physics , quantum mechanics , artificial intelligence , acoustics , programming language
In this paper, the global asympotic behavior of solutions of a class of continuous‐time dynamical system is studied. Not only do we obtain the ultimate boundedness of solutions of the system but we also obtain the rate of the trajectories of the system going from the exterior of the trapping set to the interior of the trapping set, which can be applied to study chaotic control and chaotic synchronization of the system. Copyright © 2015 John Wiley & Sons, Ltd.