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Phase Plane Analysis

  • G. C. LayekEmail author
Chapter

Abstract

We have so far discussed one-dimensional systems and solution methods for linear systems. As we know analytical solutions of nonlinear systems are very difficult to obtain except for some special nonlinear equations. The essence of this chapter is to give on finding the local solution behaviors of nonlinear systems, known as local analysis. We shall emphasize on qualitative properties of linear and nonlinear systems rather than quantitative analysis or closed-form solution of a system. The qualitative analysis for two-dimensional system is known as phase plane analysis. Two-dimensional systems have a vast and important dynamics with enormous applications and we study now to explore some of them in this chapter.

Keywords

Phase Plane Analysis Phase portraitPhase Portrait Original Equilibrium Point Phase diagramPhase Diagram Jacobian matrixJacobian Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer India 2015

Authors and Affiliations

  1. 1.Department of MathematicsThe University of BurdwanBardhamanIndia

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