Qualitative Theory of Dynamical Systems: The Role of Stability Preserving Mappings (Monographs and Textbooks in Pure and Applied Mathematics, Vol 18)

Employing a general definition of dynamical systems applicable to finite and infinite dimensional systems, including systems that cannot be characterized by equations, inequalities, and inclusions, this important reference/text;the only book of its kind available;introduces the concept of stability preserving mappings to establish a qualitative equivalence between two dynamical systems;the comparison system and the system to be studied.