L
Lawrence Perko
Researcher at Northern Arizona University
Publications - 9
Citations - 2189
Lawrence Perko is an academic researcher from Northern Arizona University. The author has contributed to research in topics: Direction vector & Nonlinear system. The author has an hindex of 8, co-authored 9 publications receiving 1881 citations. Previous affiliations of Lawrence Perko include University of Arizona.
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Book
Differential Equations and Dynamical Systems
TL;DR: In this paper, the Third Edition of the Third edition of Linear Systems: Local Theory and Nonlinear Systems: Global Theory (LTLT) is presented, along with an extended version of the second edition.
Journal ArticleDOI
Rotated vector fields and the global behavior of limit cycles for a class of quadratic systems in the plane
Journal ArticleDOI
Higher Order Bifurcations of Limit Cycles
Iliya D. Iliev,Lawrence Perko +1 more
TL;DR: In this article, it was shown that asymmetrically perturbed, symmetric Hamiltonian systems of the formx=y,y=±(x±x3)+λ1y+λ2x2+λ3xy+λ4x2y, with analyticλj(e)=O(e), have at most two limit cycles that bifurcate for smalle ≥ 0 from any period annulus of the unperturbed system.