Nonlinear Dynamics: Experiment and Numerical Simulation

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C2: Dynamical Systems".

Deadline for manuscript submissions: 30 September 2026

Special Issue Editor


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Guest Editor
Department of Mechanical Engineering, San Diego State University, 5500 Campanile Drive, San Diego, CA 92182, USA
Interests: nonlinear dynamics; composite materials; finite element methods; mechanical vibrations; mechanisms; robotics
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Special Issue Information

Dear Colleagues,

We are delighted to announce this Special Issue dedicated to experimental and numerical investigations of nonlinear dynamical systems. While we particularly encourage submissions focusing on crank-arm-driven mechanisms, we also welcome contributions across all areas of nonlinear dynamics. 

This Special Issue aims to showcase research that bridges theoretical modeling, computational simulations, and experimental validations. As an example, we highlight a study analyzing a slider-crank mechanism with clearance-induced nonlinearities in its revolute joints. The research examines dynamic responses under varying rotational speeds and clearance sizes, with joint behavior modeled under hydrodynamic lubrication. Four distinct dynamic loading cases are compared:

  1. Constant crank speed with constant piston force;
  2. Constant crank torque with varying piston load;
  3. Varying crank torque with constant piston force;
  4. Varying crank torque with varying piston force.

Topics of interest include, but are not limited to, the following:

  1. Experimental and numerical studies of joint clearances, impact dynamics, and bifurcations;
  2. Nonlinear vibrations, stability, control, and chaos in mechanical systems;
  3. Novel experimental setups and sensor-based measurements for dynamic systems;
  4. Hybrid modeling approaches combining data-driven and physics-based methods;
  5. All other aspects of nonlinear dynamical systems and their applications.

We believe your research will greatly enrich this Special Issue and we look forward to your valuable contributions.

Dr. Louay S. Yousuf
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • nonlinear dynamics
  • stochastic resonance
  • chaos
  • Lyapunov exponent
  • planar mechanism
  • revolute joints
  • SolidWorks simulation
  • Poincare’ map
  • phase space reconstruction
  • slider–crank mechanism
  • impact and friction
  • chaos analysis
  • journal bearing

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Published Papers

This special issue is now open for submission.
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