Discrete Dynamics in Nature and Society

Recent Trends in Dynamical Systems on Time Scales


Status
Published

1University of Dayton, Dayton, USA

2Eastern Kentucky University, Richmond, USA

3Yuzuncu Yil University, Van, Turkey

4Notre Dame University-Louaize, Zouk Mosbeh, Lebanon


Recent Trends in Dynamical Systems on Time Scales

Description

The theory of time scales was created to unify continuous and discrete analysis. Difference and differential equations can be studied simultaneously by studying dynamic equations on time scales. Recently, there has been much interest in the study of dynamical systems on time scales due to their applications to real world problems, such as electric circuits and insect populations. Many application problems can be studied more precisely using dynamical systems on time scales. Subjects such as existence and uniqueness of solutions, stability, Floquet theory, periodicity, stability, and boundedness of solutions can be studied more precisely and generally by utilizing dynamical systems on time scales. Recently, many researchers have been looking at the applications of time scales in various economics models utilizing optimal control theory and developing more realistic models in population dynamics using time scales.

The main objective of Discrete Dynamics in Nature and Society is to foster links between basic and applied research relating to discrete dynamics of complex systems encountered in the natural and social sciences. The journal provides a channel of communication between scientists and practitioners working in the field of complex systems analysis and will stimulate the development and use of discrete dynamical approach.The major aim of this special issue is for authors from scientific disciplines to publish high quality research on recent developments in the field of dynamical systems on time scales and related applications.

Potential topics include but are not limited to the following:

  • Boundary value problems
  • Boundary value problems at reosonance
  • Upper and lower solutions
  • Inequalities
  • Transformations
  • Qualitative analysis of functional dynamical systems with finite and infinite delays; such analysis may include stability, boundedness, existence, and uniqueness of solutions and the existence of periodic solutions
  • Integrodynamical system on time scales
  • Calculus of variations on time scales
  • Numerical solutions of dynamical systems
  • Applications of dynamical system on time scales; such applications may include economics models utilizing optimal control theory and the development of new population models

Articles

  • Special Issue
  • - Volume 2018
  • - Article ID 2176510
  • - Editorial

Recent Trends in Dynamical Systems on Time Scales

George Eid | Jeffry Neugebauer | ... | Cemil Tunç
  • Special Issue
  • - Volume 2018
  • - Article ID 8479101
  • - Research Article

Persistence and Extinction of a Stochastic Modified Bazykin Predator-Prey System with Lévy Jumps

Zhangzhi Wei | Zheng Wu | ... | Lianglong Wang
  • Special Issue
  • - Volume 2018
  • - Article ID 7913256
  • - Research Article

Improved Harmony Search Algorithm for Truck Scheduling Problem in Multiple-Door Cross-Docking Systems

Zhanzhong Wang | Yue Lu | ... | Ningbo Cao
  • Special Issue
  • - Volume 2018
  • - Article ID 4585083
  • - Research Article

Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem

Zeyu Liu | Tiecheng Xia | Jinbo Wang
  • Special Issue
  • - Volume 2018
  • - Article ID 5937572
  • - Research Article

Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations

Wiyada Kumam | Mian Bahadur Zada | ... | Rahmat Ali Khan
  • Special Issue
  • - Volume 2017
  • - Article ID 1349315
  • - Research Article

Two-Stage Dynamic Pricing and Advertising Strategies for Online Video Services

Zhi Li | De-qing Tan
Discrete Dynamics in Nature and Society
 Journal metrics
Acceptance rate21%
Submission to final decision59 days
Acceptance to publication84 days
CiteScore0.990
Impact Factor0.973
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