This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations a thorough treatment of linear systems is given at the beginning of the text. Equations for example perkos book 19 prove the existence and uniqueness of solutions of di erential equations characterize the properties of solutions without deriving explicit formulas for them there is obviously a signi cant demand coming from applications for results in the rst . Njit honor code all students should be aware that the department of mathematical sciences takes the njit honor code very seriously and enforces it strictly this means there must not be any forms of plagiarism ie copying of homework class projects or lab assignments or any form of cheating in quizzes and exams. Announcements this course provides an introduction to the dynamics of ordinary differential equations specific topics include existence theory linear and nonlinear systems of ordinary differential equations stability theory of equilibrium solutions invariant manifolds elementary bifurcation theory strange attractors
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