Advances in Mathematical Physics

Theoretical and Computational Advances in Nonlinear Dynamical Systems 2018


Publishing date
01 Jun 2018
Status
Published
Submission deadline
02 Feb 2018

Lead Editor

1Beihang University, Beijing, China

2University of Aberdeen, Aberdeen, UK

3Aristotle University of Thessaloniki, Thessaloniki, Greece


Theoretical and Computational Advances in Nonlinear Dynamical Systems 2018

Description

The theory of dynamical systems is a paradigm for studying various scientific phenomena, ranging from complex atomic lattices to planetary motion, from water waves to weather systems, from chemical reaction to biological behaviors, and many more. Relevant applications have widely arisen in multidisciplinary fields, including mathematics, physics, chemistry, biology, and even economics and sociology.

Due to the rapid development of theoretical and computational techniques in recent years, the role of nonlinearity in dynamical systems has attracted increasing interest and has been intensely investigated. Typical research areas include spatial and temporal evolution of nonlinear systems, pattern formation and their interactions, and localized solutions and stability analysis. At the same time, the mathematical tools, for both of the symbolic and numerical aspects, have been developed in dealing with the nonlinear dynamical systems qualitatively and quantitatively. On the other hand, complexity of the nonlinear dynamical systems can be further portrayed when chaotic and stochastic behaviors are revealed. Interplay between nonlinearity and randomness is also a highlight topic, which can be simulated and studied by modern computational resources.

Potential topics include but are not limited to the following:

  • Nonlinear dynamics of continuous and discrete systems
  • Integrable equations and exact solutions
  • Symmetry and conservation laws
  • Solitons and vortices
  • Chaos, resonances, and stability analysis
  • Interplay of nonlinearity and randomness
  • Symbolic and numerical methods
  • Fluid dynamics and Bose-Einstein condensates
  • Nonlinear photonics and circuits

Articles

  • Special Issue
  • - Volume 2018
  • - Article ID 4732167
  • - Editorial

Theoretical and Computational Advances in Nonlinear Dynamical Systems 2018

Zhi-Yuan Sun | K. Nakkeeran | ... | Xin Yu
  • Special Issue
  • - Volume 2018
  • - Article ID 9349175
  • - Research Article

Dynamic Characteristics of Deeply Buried Spherical Biogas Digesters in Viscoelastic Soils

Hongwei Hou | Shihu Gao | ... | Lei Wang
  • Special Issue
  • - Volume 2018
  • - Article ID 7408263
  • - Research Article

A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of Characteristics

Xiaona Li | Minjie Xu | ... | Kai Fu
  • Special Issue
  • - Volume 2018
  • - Article ID 3469534
  • - Research Article

CIP Method of Characteristics for the Solution of Tide Wave Equations

Yafei Nie | Kai Fu | Xianqing Lv
  • Special Issue
  • - Volume 2018
  • - Article ID 2704876
  • - Research Article

On the Convergence Ball and Error Analysis of the Modified Secant Method

Rongfei Lin | Qingbiao Wu | ... | Xuemin Lei
  • Special Issue
  • - Volume 2018
  • - Article ID 4820601
  • - Research Article

The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov Equations

Cong Sun | Lixia Li
  • Special Issue
  • - Volume 2018
  • - Article ID 7179160
  • - Research Article

Nonlinear Green’s Functions for Wave Equation with Quadratic and Hyperbolic Potentials

Asatur Zh. Khurshudyan
  • Special Issue
  • - Volume 2018
  • - Article ID 7535628
  • - Research Article

Adaptive Fuzzy Synchronization of Fractional-Order Chaotic Neural Networks with Backlash-Like Hysteresis

Wenqing Fu | Heng Liu
  • Special Issue
  • - Volume 2018
  • - Article ID 6152961
  • - Research Article

Motion of a Spot in a Reaction Diffusion System under the Influence of Chemotaxis

Satoshi Kawaguchi
  • Special Issue
  • - Volume 2018
  • - Article ID 7308476
  • - Research Article

Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with Delay

Xingao Zhu | Yuangong Sun | Fanwei Meng
Advances in Mathematical Physics
 Journal metrics
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Acceptance rate16%
Submission to final decision138 days
Acceptance to publication22 days
CiteScore1.900
Journal Citation Indicator0.430
Impact Factor1.2
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