Local stability analysis of differential equations with state-dependent delay
نویسندگان
چکیده
منابع مشابه
Stability Analysis of Differential Equations with Time-Dependent Delay
In recent years, increasing attention has been focused on the study of dynamical systems, often with time delay, which model in population dynamics [Chen & Blackmore, 2002; Gopalsamy, 1992; Yang, 1993; Matin & Ruan, 2001; May, 1973], physics and mechanics [Cahlon et al., 1997], remote control [Ryabov, 1960], radiation damping [Chicone et al., 2001], and so on and so forth. Such systems attract ...
متن کاملStability of Periodic Solutions of State-Dependent Delay-Differential Equations
We consider a class of autonomous delay-differential equations
متن کاملStability analysis of impulsive fuzzy differential equations with finite delayed state
In this paper we introduce some stability criteria for impulsive fuzzy system of differential equations with finite delay in states. Firstly, a new comparison principle for fuzzy differential system compared to crisp ordinary differential equation, based on a notion of upper quasi-monotone nondecreasing, in N dimentional state space is presented. Furthermore, in order to analyze the stability o...
متن کاملState-dependent impulsive delay-differential equations
K e y w o r d s D e l a y , Differential equation, Impulses, Fixed point. 1. I N T R O D U C T I O N The object of this paper is to present existence and uniqueness results about the solution of a system of delay-differential equations with infinitely many state-dependent impulses. This type of problem is characterized by jumps in the solution of the system. The system is (s) = / ( t , x , ) + ...
متن کاملNumerical Bifurcation Analysis of Diierential Equations with State-dependent Delay Numerical Bifurcation Analysis of Diierential Equations with State-dependent Delay
In this paper we extend existing numerical methods for bifurca-tion analysis of delay diierential equations with constant delay towards equations with state-dependent delay. In particular, we study the computation, continuation and stability of steady state solutions and periodic solutions of such equations. We collect the relevant theory and point out open theoretical problems in the context o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2015
ISSN: 1078-0947
DOI: 10.3934/dcds.2016.36.3445