NDLI: Dynamical behavior analysis and bifurcation mechanism of a new 3-D nonlinear periodic switching system

Content Provider	Springer Nature Link
Author	Yu, Yue Zhang, Chun Han, Xiujing Bi, Qinsheng
Copyright Year	2013
Abstract	This paper presents a new periodic switching chaotic system, which is topologically non-equivalent to the original sole chaotic systems. Of particular interest is that the periodic switching chaotic system can generate stable solution in a very wide parameter domain and has rich dynamic phenomena. The existence of a stable limit cycle with a suitable choice of the parameters is investigated. The complex dynamical evolutions of the switching system composed of the Rössler system and the Chua’s circuit are discussed, which is switched by equal period. Then the possible bifurcation behaviors of the system at the switching boundary are obtained. The mechanism of the different behaviors of the system is investigated. It is pointed out that the trajectories of the system have obvious switching points, which are decided by the periodic signal. Meanwhile, the system may be led to chaos via a period-doubling bifurcation, resulting in the switching collisions between the trajectories and the non-smooth boundary points. The complicated dynamics are studied by virtue of theoretical analysis and numerical simulation. Furthermore, the control methods of this periodic switching system are discussed. The results we have obtained clearly show that the nonlinear switching system includes different waveforms and frequencies and it deserves more detailed research.
Starting Page	1873
Ending Page	1881
Page Count	9
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	73
Issue Number	3
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-05-04
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Piecewise-defined differential Periodic switching Period-doubling bifurcation Chaotic oscillations Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Dynamical behaviors of the periodic parameter-switching system

Nonlinear dynamics and design for a class of piecewise smooth vibration isolation system

Nonlinear behaviors as well as the mechanism in a piecewise-linear dynamical system with two time scales

Nonlinear behaviors as well as the bifurcation mechanism in switched dynamical systems

Nonlinear dynamics of charged particle slipping on rough surface with periodic force

The mechanism of bursting oscillations with different codimensional bifurcations and nonlinear structures

Exciting dynamical behavior in a network of two coupled rings of Chen oscillators

Small-signal amplification of period-doubling bifurcations in smooth iterated maps

Bifurcation of periodic orbits in discontinuous systems

Dynamical behavior analysis and bifurcation mechanism of a new 3-D nonlinear periodic switching system

Similar Documents

Dynamical behaviors of the periodic parameter-switching system

Nonlinear dynamics and design for a class of piecewise smooth vibration isolation system

Nonlinear behaviors as well as the mechanism in a piecewise-linear dynamical system with two time scales

Nonlinear behaviors as well as the bifurcation mechanism in switched dynamical systems

Nonlinear dynamics of charged particle slipping on rough surface with periodic force

The mechanism of bursting oscillations with different codimensional bifurcations and nonlinear structures

Exciting dynamical behavior in a network of two coupled rings of Chen oscillators

Small-signal amplification of period-doubling bifurcations in smooth iterated maps

Bifurcation of periodic orbits in discontinuous systems

Dynamical behavior analysis and bifurcation mechanism of a new 3-D nonlinear periodic switching system