In chapter 2 we carry out the development of the analogous theory for autonomous ordinary differential equations local dynamical systems chapter 3 is a brief account of the theory for retarded functional differential equations local semidynamical systems here the state space is infinite dimensional and not locally compact. specialization of this stability theory to finite dimensional dynamical systems specialization of this stability theory to infinite dimensional dynamical systems replete with exercises and requiring basic knowledge of linear algebra analysis and differential equations the work may be used as a textbook for graduate courses in stability . The book also contains numerous problems and suggestions for further study at the end of the main chapters book will provide an excellent source of materials for graduate students studying the stability theory of dynamical systems and for self study by researchers and practitioners interested in the systems theory of engineering physics . Stability theory of dynamical systems stability analysis has been discussed in this study which gives the stable equilibrium points obtained from the characteristic equation systems of
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