Mathematical Analysis of Nonlinear Dynamic Processes: 176 (Pitman Research Notes in Mathematics Series) - Softcover

Grusa, K.U.

Softcover

ISBN 10: 0582028809 ISBN 13: 9780582028807

Publisher: Longman Higher Education, 1988

Synopsis

This Research Note presents new results on the model-building for nonlinear, dynamic processes. Attention is paid to processes in multiconnected domains which are controlled pointwise or by strategy parameters on boundary surfaces. The study of the explicit solutions of two-dimensional processes yields insight into the phenomena being modelled. The two-dimensional processes can be extended to three dimensions. Applications dealt with in the book include diffusion processes in multiconnected domains controlled by the strategies of games; modelling of new influence-phenomena in economics and the genesis of cardiac arhythmias in medicine. The new methods of model-building can be applied to controlled linear and nonlinear diffusion and fluid processes, wave phenomena, and to the generation of vortices and their interdependence in multiconnected domains. It is aimed at researchers and postgraduate students in control theory, mathematical modelling, partial differential equations, theoretical physics, biology, biomathematics, chemistry, synergetics, control engineering and mathematical economics.

Edition details

• Publisher: Longman Higher Education
• Publication date: 1988
• ISBN 10: 0582028809
• ISBN 13: 9780582028807
• Binding: Paperback
• Language: English
• Number of pages: 472