Valery A. Gaiko

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Two-dimensional polynomial dynamical systems are mainly considered. We develop Erugin's two-isocline method for the global analysis of such systems, construct canonical systems with field-rotation parameters and study various limit cycle bifurcations. In particular, we show how to carry out the classification of separatrix cycles and consider the most(More)
Applying a canonical system with field rotation parameters and using geometric properties of the spirals filling the interior and exterior domains of limit cycles, we solve the limit cycle problem for a general Liénard system with polynomial restoring and damping functions. Reference to this paper should be made as follows: Gaiko, V.A. (2012) 'Limit cycle(More)
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)