Subharmonic bifurcations and chaotic dynamics are investigated both analytically and numerically for a class of ship power system. Chaos arising from heteroclinic intersections is studied with the Melnikov method. The critical curves separating the chaotic and nonchaotic regions are obtained. The chaotic feature on the system parameters is discussed in detail. It is shown that there exist chaotic bands for this system. The conditions for subharmonic bifurcations with O type or R type are also obtained. It is proved that the system can be chaotically excited through finite subharmonic bifurcations with O type, and it also can be chaotically excited through infinite subharmonic bifurcations with R type. Some new dynamical phenomena are presented. Numerical simulations are given, which verify the analytical results.
Skip Nav Destination
Article navigation
March 2018
Research-Article
Subharmonic Bifurcations and Chaotic Dynamics for a Class of Ship Power System
Liangqiang Zhou,
Liangqiang Zhou
Department of Mathematics,
Nanjing University of Aeronautics
and Astronautics,
Nanjing 210016, China
e-mail: zlqrex@sina.com
Nanjing University of Aeronautics
and Astronautics,
Nanjing 210016, China
e-mail: zlqrex@sina.com
Search for other works by this author on:
Fangqi Chen
Fangqi Chen
Professor
Department of Mathematics,
Nanjing University of Aeronautics and
Astronautics,
Nanjing 210016, China
e-mail: fangqichen@nuaa.edu.cn
Department of Mathematics,
Nanjing University of Aeronautics and
Astronautics,
Nanjing 210016, China
e-mail: fangqichen@nuaa.edu.cn
Search for other works by this author on:
Liangqiang Zhou
Department of Mathematics,
Nanjing University of Aeronautics
and Astronautics,
Nanjing 210016, China
e-mail: zlqrex@sina.com
Nanjing University of Aeronautics
and Astronautics,
Nanjing 210016, China
e-mail: zlqrex@sina.com
Fangqi Chen
Professor
Department of Mathematics,
Nanjing University of Aeronautics and
Astronautics,
Nanjing 210016, China
e-mail: fangqichen@nuaa.edu.cn
Department of Mathematics,
Nanjing University of Aeronautics and
Astronautics,
Nanjing 210016, China
e-mail: fangqichen@nuaa.edu.cn
1Corresponding authors.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 13, 2017; final manuscript received January 9, 2018; published online February 1, 2018. Assoc. Editor: Bogdan I. Epureanu.
J. Comput. Nonlinear Dynam. Mar 2018, 13(3): 031011 (9 pages)
Published Online: February 1, 2018
Article history
Received:
June 13, 2017
Revised:
January 9, 2018
Citation
Zhou, L., and Chen, F. (February 1, 2018). "Subharmonic Bifurcations and Chaotic Dynamics for a Class of Ship Power System." ASME. J. Comput. Nonlinear Dynam. March 2018; 13(3): 031011. https://doi.org/10.1115/1.4039060
Download citation file:
Get Email Alerts
Cited By
Input–Output Finite-Time Bipartite Synchronization for Multiweighted Complex Dynamical Networks Under Dynamic Hybrid Triggering Mechanism
J. Comput. Nonlinear Dynam (November 2024)
A Universal and Efficient Quadrilateral Shell Element Based on Absolute Nodal Coordinate Formulation for Thin Shell Structures With Complex Surfaces
J. Comput. Nonlinear Dynam (November 2024)
Dynamic Simulation and Collision Detection for Flexible Mechanical Systems With Contact Using the Floating Frame of Reference Formulation
J. Comput. Nonlinear Dynam (November 2024)
An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations
J. Comput. Nonlinear Dynam
Related Articles
Electronic Implementation of Fractional-Order Newton–Leipnik Chaotic System With Application to Communication
J. Comput. Nonlinear Dynam (September,2017)
Shooting With Deflation Algorithm-Based Nonlinear Response and Neimark-Sacker Bifurcation and Chaos in Floating Ring Bearing Systems
J. Comput. Nonlinear Dynam (May,2017)
Interaction Between Coexisting Orbits in Impact Oscillators
J. Comput. Nonlinear Dynam (November,2017)
Targeted Energy Transfers for Suppressing Regenerative Machine Tool Vibrations
J. Comput. Nonlinear Dynam (January,2017)
Related Proceedings Papers
Related Chapters
Dynamic Behavior in a Singular Delayed Bioeconomic Model
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)
Two-Dimension Simulation of a Red Blood Cell Partitioning in Microvascular Bifurcation
International Conference on Software Technology and Engineering (ICSTE 2012)
Ultra High-Speed Microbridge Chaos Domain
Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17