منابع مشابه
QUALITATIVE METHODS IN BIFURCATION TIlEORY
Classical bifurcation theory is undergoing a revitalization with the infusion of ideas from singularities of mappings and structural stability. The situation now is similar to that a quarter century ago when Krasnosel'skii introduced topological methods, especially degree theory, into the subject (see Krasnosel'skii [1964]). Like degree theory, the theory of singularities of mappings is playing...
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The theory of bifuxcation from equilibria based on center-manifold reduction and Poincare-Birkhoff normal forms is reviewed at an introductory level. Both differential equations and maps are discussed, and recent results explaining the symmetry of the normal form are derived. The emphasis is on the simplest generic bifurcations in one-parameter systems. Two applications are developed in detail:...
متن کاملCase and grounded theory as qualitative research methods.
Case and grounded theory are two methods of qualitative research. Both methods have their roots in sociology and are focused on understanding, explaining, and/or predicting human behavior. They are ideal methods for nursing research, as they are useful for exploring human responses to health problems. The theoretical underpinnings, methodologies, strategies for data collection, requirements for...
متن کاملAn introduction to bifurcation theory
The aim of this chapter is to introduce tools from bifurcation theory which will be necessary in the following sections for the study of neural field equations (NFE) set in the primary visual cortex. In a first step, we deal with elementary bifurcations in low dimensions such as saddle-node, transcritical, pitchfork and Hopf bifurcations. NFEs are dynamical systems defined on Banach spaces and ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1978
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1978-14549-2