International Journal of Dynamical Systems and Differential Equations

Scope & Guideline

Exploring the Frontiers of Mathematical Sciences

Introduction

Welcome to your portal for understanding International Journal of Dynamical Systems and Differential Equations, featuring guidelines for its aims and scope. Our guidelines cover trending and emerging topics, identifying the forefront of research. Additionally, we track declining topics, offering insights into areas experiencing reduced scholarly attention. Key highlights include highly cited topics and recently published papers, curated within these guidelines to assist you in navigating influential academic dialogues.
LanguageEnglish
ISSN1752-3583
PublisherINDERSCIENCE ENTERPRISES LTD
Support Open AccessNo
CountryUnited Kingdom
TypeJournal
Convergefrom 2007 to 2009, from 2011 to 2012, from 2015 to 2023
AbbreviationINT J DYN SYST DIFFE / Int. J. Dyn. Syst. Differ. Equ.
Frequency6 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressWORLD TRADE CENTER BLDG, 29 ROUTE DE PRE-BOIS, CASE POSTALE 856, CH-1215 GENEVA, SWITZERLAND

Aims and Scopes

The International Journal of Dynamical Systems and Differential Equations focuses on the advancement of knowledge in the field of dynamical systems and their applications through the rigorous study of differential equations. The journal aims to foster interdisciplinary research that employs both theoretical and applied methodologies in various scientific areas.
  1. Dynamical Systems Analysis:
    The journal emphasizes the analysis of dynamical systems, particularly through bifurcation theory, stability analysis, and the exploration of limit cycles, which are crucial for understanding complex behaviors in both natural and engineered systems.
  2. Differential Equations and Their Applications:
    A core focus is on the development and application of differential equations, including ordinary, partial, and fractional differential equations, to model a wide range of phenomena in science and engineering.
  3. Numerical Methods and Simulations:
    The journal also promotes innovative numerical methods and simulations for solving complex differential equations, emphasizing the practical applicability of theoretical findings.
  4. Interdisciplinary Approaches:
    Research published in the journal often crosses disciplinary boundaries, integrating concepts from mathematics, biology, engineering, and physics, thereby contributing to the development of mathematical modeling in diverse fields.
  5. Control Theory and Optimization:
    The journal includes studies on control theory, particularly in the context of dynamical systems, exploring optimal control strategies and their implications in various applications, such as epidemic modeling and resource management.
Recent trends in the International Journal of Dynamical Systems and Differential Equations reveal a shift towards more complex, interdisciplinary, and application-driven themes. These emerging scopes reflect the dynamic nature of research in the field.
  1. Fractional Differential Equations:
    There is a notable increase in research focused on fractional differential equations, which offer a more nuanced understanding of dynamic systems, particularly in modeling processes with memory effects.
  2. Epidemic Modeling:
    Emerging themes in epidemic modeling, especially in the context of COVID-19, highlight the journal's relevance to public health issues, incorporating advanced mathematical techniques to predict and control outbreaks.
  3. Nonlinear Dynamics and Chaos Theory:
    Research exploring nonlinear dynamics and chaos theory has gained momentum, reflecting a broader interest in understanding complex systems that exhibit unpredictable behavior.
  4. Interdisciplinary Applications:
    An increasing number of studies apply mathematical modeling to real-world problems in biology, ecology, and engineering, emphasizing the journal's role in facilitating interdisciplinary collaboration.
  5. Stochastic and Hybrid Systems:
    There is a growing trend towards the exploration of stochastic and hybrid systems, which combine deterministic and probabilistic elements, reflecting the complexity of systems encountered in practical applications.

Declining or Waning

While the journal continues to evolve, certain themes have shown signs of declining prominence in recent publications. This reflects shifting research interests within the field and the broader academic community.
  1. Traditional Linear Systems:
    Research focused on classical linear systems appears to be waning, with a noticeable shift towards nonlinear and fractional systems that offer richer dynamics and more complex behaviors.
  2. Basic Stability Analysis:
    The journal has seen less emphasis on basic stability analysis of simple systems, as more sophisticated approaches and models, such as those involving delays and stochastic elements, are gaining traction.
  3. Static Mathematical Models:
    There is a decline in studies centered on static models without dynamic components, as researchers increasingly favor time-dependent and dynamic models that better reflect real-world complexities.
  4. Deterministic Models with No Uncertainty:
    The focus on purely deterministic models is diminishing, with a growing interest in incorporating uncertainty and stochastic elements into models to account for real-life variability.
  5. Classic Control Systems:
    Publications related to traditional control systems are less frequent, as the journal highlights more advanced techniques such as adaptive and predictive control strategies.

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