The Journal of Dynamics and Differential Equations answers the research needs of scholars of dynamical systems. It presents papers on the theory of the dynamics of differential equations (ordinary differential equations, partial differential equations, stochastic differential equations, and functional differential equations) and their discrete analogs. The journal also publishes papers dealing with computational results and applications in biology, engineering, physics and the other sciences, as well as papers in other areas of mathematics which have direct bearing on the dynamics of differential equations. The dynamical issues treated in this journal cover all of the classical topics, including: attractors, bifurcation theory, connection theory, dichotomies, ergodic theory, finite and infinite dimensional systems, index theory, invariant manifolds, Lyapunov exponents, normal forms, singular perturbations, stability theory, symmetries, topological methods, and transversality. In addition, the journal covers new and emerging areas. Special emphasis is placed on papers dealing with high dimensional and/or infinite dimensional problems.
Journal of Dynamics and Differential Equations
Description
Identifiers
ISSN | 1040-7294 |
e-ISSN | 1572-9222 |
DOI | 10.1007/10884.1572-9222 |
Publisher
Springer US
Additional information
Data set: Springer
Articles
Journal of Dynamics and Differential Equations > 2019 > 31 > 4 > 1873-1920
We study an interplay between delay and discontinuous hysteresis in dynamical systems. After having established existence and uniqueness of solutions, we focus on the analysis of stability of periodic solutions. The main object we study is a Poincaré map that is infinite-dimensional due to delay and non-differentiable due to hysteresis. We propose a general functional framework based on the fractional...
Journal of Dynamics and Differential Equations > 2019 > 31 > 4 > 2017-2028
We give an alternative proof for the celebrated Bertrand’s theorem as a corollary of the isochronicity of a certain family of centers.
Journal of Dynamics and Differential Equations > 2019 > 31 > 4 > 2109-2125
In this paper we study the stability and moment boundedness of the solutions to the stochastic linear age-structured model. For the linear age-structured model with general noise, the stability of the first moment is identical to that of the corresponding deterministic age-structured model. However, the stability and boundedness of the second moment are complicated and depend on the stochastic terms...