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In this paper, we consider a planar dynamical system with a piecewise linear function containing an arbitrary (but finite) number of dropping sections and approximating some continuous nonlinear function. Studying all possible local and global bifurcations of its limit cycles, we prove that such a piecewise linear dynamical system with k dropping sections… (More)
zijn de moeilijke met een * gemarkeerd. Both books are based on courses given by the authors at De Mont-fort University in Leicester. The book on analytic methods consists of five chapters containing the following subjects: the method of separation of variables for wave, heat and Laplace equations , first order equations, and hyperbolic second order… (More)
On the periods of the periodic solutions of the nonlinear oscillator equation¨x + x 1/(2n+1) = 0 .
No part of the Journal may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission from Department of Applied Mathematical Analysis, Abstract In this paper, a quadratic system with two parallel straight line-isoclines is… (More)
In this paper initial-boundary value problems for a string (a wave) equation are considered. One end of the string is assumed to be fixed and the other end of the string is attached to a dashpot system, where the damping generated by the dashpot system is assumed to be small, and is assumed to be proportional to the vertical and the angular velocity of the… (More)