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Advances in Nonlinear Dynamics: Theory, Methods and Applications

This special issue belongs to the section “Mathematical Physics“.

Special Issue Information

Dear Colleagues,

The field of nonlinear dynamics is very broad, with active research at many levels, from mathematical analysis to numerical modeling, and a vast number of applications in almost all areas of research. Due to the complex dynamics that may arise in nonlinear systems, much attention is devoted to developing new numerical and analytical tools. In parallel, the richness of behaviors discovered and observed in nonlinear systems is ever-increasing. Examples of active research topics include the interplay between multi-stability, co-existence, and pattern formations; the nonlinear dynamics of geophysical fluids; nonlinear wave interactions; chaotic dynamics; synchronization; population dynamics; collective dynamics; and many others.

The goal of this Special Issue is to continue to advance research on topics relating to the theory, methods, analysis, implementation, and application of nonlinear dynamics. A secondary focus is to exchange ideas and findings between the various fields in which nonlinear dynamics are dominant. Topics that are invited for submission include (but are not limited to):

  • Nonlinear wave interactions;
  • Nonlinear geophysical fluid dynamics;
  • Numerical continuation methods;
  • Pattern formation;
  • Driven-damped nonlinear systems;
  • Nonlinear dynamics with a quenched disorder;
  • Beyond linear stability analysis.

Prof. Dr. Golan Bel
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • pattern formation
  • multi-stability
  • nonlinear interactions–disorder interplay
  • instabilities
  • bifurcations
  • chaos

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Fractal Fract. - ISSN 2504-3110