ISSN:
1572-9222
Keywords:
Nonlinear differential equations of second order with deviating argument
;
oscillations
;
periodic solutions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Solution properties of the nonlinear second-order delay-differential equation x(t)=−ax(t)+f[x(t−Τ)] are studied wheref is a piecewise constant function which mimics negative feedback. We show that the solutions can be obtained by a simple geometrical construction which, in principle, can be implemented using a ruler and a compass. Analytical results guarantee the existence and stability properties of limit cycle solutions. Computer-aided constructions reveal a remarkable richness of different types of dynamical behaviors including a variety of unconventional bifurcation schemes.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01054042
