International Journal of Dynamical Systems and Differential Equations
Scope & Guideline
Connecting Theories with Real-World Applications
Introduction
Aims and Scopes
- 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. - 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. - 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. - 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. - 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.
Trending and Emerging
- 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. - 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. - 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. - 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. - 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
- 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. - 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. - 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. - 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. - 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.
Similar Journals
Applied Mathematics E-Notes
Innovative Research Meets Practical ApplicationApplied Mathematics E-Notes, a prominent publication within the field of Applied Mathematics, is produced by the Department of Mathematics at Tsing Hua University in Taiwan. With its inception in 2001, the journal continues to serve as a vital resource for disseminating research findings, methodologies, and applications that advance the understanding of mathematical theories and their practical implications. Though currently categorized in Q4 within its field, the journal remains dedicated to fostering innovation and collaborative research, reflecting its growth potential in the coming years. The journal is accessible online, catering to a global audience of researchers, professionals, and students seeking to enrich their knowledge and engage with contemporary topics in applied mathematics. Through its commitment to open dialogue in mathematical sciences, Applied Mathematics E-Notes plays an essential role in bridging theoretical research with real-world applications.
JOURNAL OF EVOLUTION EQUATIONS
Advancing the frontiers of mathematical analysis.Welcome to the JOURNAL OF EVOLUTION EQUATIONS, a leading academic journal published by SPRINGER BASEL AG, dedicated to the field of mathematics, with a specific emphasis on the analysis of evolution equations. Since its inception in 2001, this journal has become a central platform for researchers and professionals to disseminate innovative findings and theoretical advancements in the domain. With a commendable Q1 ranking in the category of Mathematics (miscellaneous) and a Scopus position of Rank #24/90, it reflects the esteemed quality and impact of the research it publishes. The journal aims to foster scholarly communication by covering all aspects of evolution equations, including their applications to various fields. While currently not available as an open-access publication, it offers access through various academic institutions, ensuring that high-quality research remains accessible to the scientific community. As it approaches its converged years of publication up to 2024, JOURNAL OF EVOLUTION EQUATIONS continues to be an invaluable resource for anyone seeking to expand their knowledge and understanding in this critical area of mathematical study.
APPLICABLE ANALYSIS
Pioneering research at the intersection of theory and application.APPLICABLE ANALYSIS, published by Taylor & Francis Ltd, is an esteemed journal dedicated to advancing research in the fields of analysis and applied mathematics. With its ISSN 0003-6811 and E-ISSN 1563-504X, the journal has been a cornerstone of scholarly communication since its inception in 1971, with a convergence of content projected until 2024. Belonging to the Q2 category for both Analysis and Applied Mathematics as of 2023, it ranks impressively at #58 out of 193 in the field of Mathematics Analysis and #274 out of 635 in Mathematics Applied Mathematics as per Scopus metrics. Although the journal currently does not offer Open Access, it continues to provide valuable insights and cutting-edge research that is vital for academics, professionals, and students who seek to deepen their understanding and application of analytical techniques in various contexts. Its commitment to high-quality research plays a significant role in shaping the landscape of modern mathematics.
Applied Mathematics in Science and Engineering
Empowering Innovation through Applied Mathematics.Applied Mathematics in Science and Engineering is a prestigious academic journal published by TAYLOR & FRANCIS LTD, dedicated to presenting innovative research at the intersection of applied mathematics, science, and engineering disciplines. Since its inception as an Open Access platform in 2022, this journal has empowered researchers worldwide to disseminate their findings without barriers, enhancing knowledge-sharing among scholars, professionals, and students. Covering a wide range of topics, including but not limited to mathematical modeling, computational methods, and engineering applications, Applied Mathematics in Science and Engineering aims to foster interdisciplinary collaboration and advance the field through high-quality research articles. With a commitment to rigorous peer review and academic excellence, this journal serves as an essential resource for anyone seeking to stay at the forefront of applied mathematics in contemporary scientific inquiry.
Nonlinear Analysis-Modelling and Control
Navigating the landscape of nonlinear systems with expertise.Nonlinear Analysis-Modelling and Control is a leading open-access journal published by the Vilnius University, Institute of Mathematics and Informatics, nestled in the heart of Lithuania. Since its inception in 2009, the journal has been committed to advancing the field of nonlinear analysis through rigorous research and comprehensive modelling techniques. With an impressive Q2 category ranking in both Analysis and Applied Mathematics for 2023, it stands out with its strong academic influence reflected in its Scopus ranking, where it is positioned in the top 12% percentile for Mathematics - Analysis and the top 24% for Mathematics - Applied Mathematics. This journal not only serves as a platform for pioneering research but also emphasizes interdisciplinary collaboration in addressing complex mathematical and control problems. Its open-access policy since 2017 ensures that its findings are readily accessible to a global audience, fostering knowledge dissemination and innovation across the mathematical community. Researchers, professionals, and students will find Nonlinear Analysis-Modelling and Control an essential resource for the latest developments and applications in nonlinear systems.
NONLINEARITY
Navigating the Intricacies of Nonlinear PhenomenaNONLINEARITY is a premier academic journal published by IOP Publishing Ltd, dedicated to advancing the field of complex systems through the lens of nonlinear science. Since its inception in 1988, the journal has established itself as a vital resource for researchers and professionals alike, offering a robust platform for disseminating high-quality research in areas such as applied mathematics, mathematical physics, and statistical and nonlinear physics. With an impressive Q1 ranking across multiple pertinent categories, including Applied Mathematics and Mathematical Physics, NONLINEARITY ranks among the top journals globally, making it essential reading for those seeking to deepen their understanding of nonlinear phenomena. Although it does not operate under an open-access model, its rich repository of rigorous articles significantly contributes to academia, fostering innovative thought and facilitating cutting-edge research. Located in the heart of the United Kingdom at TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, NONLINEARITY continues to be at the forefront of the scientific community, championing new discoveries and interdisciplinary dialogue within its dynamic scope.
Izvestiya Instituta Matematiki i Informatiki-Udmurtskogo Gosudarstvennogo Universiteta
Fostering Innovation in Computational TheoryIzvestiya Instituta Matematiki i Informatiki-Udmurtskogo Gosudarstvennogo Universiteta is a distinguished academic journal published by Udmurt State University, located in the Russian Federation. Focusing on the fields of mathematics and computer science, particularly in Computational Theory and Mathematics, the journal is a vital platform for researchers and professionals to disseminate innovative findings and theoretical advancements. With an ISSN of 2226-3594 and an E-ISSN of 2410-1737, it holds a Q3 categorization in both Computational Theory and Mathematics and Mathematics (miscellaneous) for the year 2023, signifying its role in contributing to scholarly discourse. The journal has been operational since 2019, with a commitment to enhance understanding in its domain through the publication of original research articles, reviews, and technical notes. Although not currently open access, its content is crucial for those engaged in mathematical and computational sciences, providing insights that can impact both theoretical and practical applications. Researchers, professionals, and students alike will find valuable resources within its pages as they navigate the complexities of contemporary mathematical challenges and computational methodologies.
Trudy Instituta Matematiki i Mekhaniki UrO RAN
Pioneering Research in Computational Mechanics and MathematicsTrudy Instituta Matematiki i Mekhaniki UrO RAN, a prestigious journal published by the KRASOVSKII INST MATHEMATICS & MECHANICS URAL BRANCH RUSSIAN ACAD SCIENCES, serves as a vital platform for the dissemination of research in the diverse fields of applied mathematics, computational mechanics, and computer science applications. With a dedicated focus on advancing theoretical and practical applications within these disciplines, the journal emphasizes innovative methodologies and novel concepts that are crucial in an era where mathematical techniques are increasingly intertwined with emerging technologies. Although currently not an open-access publication, the journal caters to a niche yet expansive audience of researchers, academics, and professionals, providing insights into current trends and breakthroughs. Notably, it holds a commendable position in various quartiles — Q3 in Applied Mathematics and Q2 in Computational Mechanics as of 2023, reflecting its growing influence within the scientific community. While its Scopus rankings indicate a competitive landscape, this journal continues to be a significant resource for scholarly discourse, making substantial contributions to the body of knowledge for its readers based in the Russian Federation and beyond.
Applied Mathematics Letters
Empowering Research Through Applied Mathematics ExcellenceApplied Mathematics Letters is a prestigious journal dedicated to the dissemination of significant research in the field of applied mathematics. Published by PERGAMON-ELSEVIER SCIENCE LTD in the United Kingdom, this journal serves as a vital resource for researchers, professionals, and students alike, aiming to bridge theoretical findings and practical applications. With an impressive impact factor placing it in the Q1 category and ranked 33 out of 635 in the Applied Mathematics category by Scopus, it showcases influential articles that contribute to advancements across various applications of mathematics. The journal's coverage from 1988 to 2025 ensures a rich archive of research that remains relevant and insightful for contemporary studies. Currently, it operates under a subscription-based model, providing access to cutting-edge research that forms the backbone of mathematical application in science and engineering. To become part of this dynamic community of scholars, readers are encouraged to explore the latest findings and ongoing discussions that highlight the interplay between mathematics and its real-world impacts.
Journal of Mathematical Extension
Connecting Mathematics to the World.Journal of Mathematical Extension, published by Islamic Azad University, Shiraz Branch, is a leading section in the field of mathematics, dedicated to the dissemination of innovative research and theories since its establishment. With an Open Access model adopted in 2006, the journal provides a platform for researchers and scholars worldwide to share their findings, ensuring that knowledge is accessible to all. The journal focuses on a wide array of topics within the mathematical sciences, promoting interdisciplinary studies that connect mathematics to real-world applications. As a repository of cutting-edge research, Journal of Mathematical Extension is essential for academics, practitioners, and students alike, contributing to the advancement of mathematical understanding and its practical uses in various domains. Located in Shiraz, Iran, this journal embodies the commitment to nurturing a global community of mathematicians and researchers striving for excellence in the field.