Results 321 to 330 of about 169,243 (353)

Time-reversible and equivariant pitchfork bifurcation

Physica D: Nonlinear Phenomena, 1998
Abstract In this note we describe a new phenomenon in steady-state bifurcations of time-reversible and equivariant vector fields. When the eigenspace associated with a pair of imaginary eigenvalues that passes through zero onto the real line is separable from the nullspace associated with the fixed zeros of the spectrum, we prove that a pitchfork ...
Chjan C. Lim, I-Heng McComb
openaire   +2 more sources

Hopf bifurcation at a degenerate stationary pitchfork

Nonlinear Analysis: Theory, Methods & Applications, 1986
In this paper the branching of genuine periodic solutions for one parameter families of certain parabolic differential equations is investigated. The conditions given in the paper imply the existence of such solutions near a highly degenerate singularity, coming from the interaction of a simple zero eigenvalue and a pair of simple purely imaginary ...
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Sensitivity of pitchfork bifurcation to stochastic perturbation

Dynamics and Stability of Systems, 1992
For a stochastically perturbed two-dimensional system exhibiting a pitchfork bifurcation, asymptotic expansions for the Lyapunov exponent and the rotation number are obtained in the vicinity of the point of deterministic bifurcation. Using the result for the Lyapunov exponent, the shift in the bifurcation point due to the stochastic perturbation is ...
S. T. Ariaratnam, Wei-Chau Xie
openaire   +2 more sources

Supercritical Pitchfork bifurcation of the Quasi-periodic Switching Solution in a Ring of Six-Coupled, Bistable oscillators

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2012
In our preceding study, we investigated the appearance and disappearance scenario of (quasi-periodic) switching solution in a ring of six-coupled, bistable oscillators.
K. Kamiyama, M. Komuro, T. Endo
semanticscholar   +1 more source

Pitchfork bifurcation and circuit implementation of a novel Chen hyper-chaotic system

, 2012
In this paper, a novel four dimensional hyper-chaotic system is coined based on the Chen system, which contains two quadratic terms and five system parameters. The proposed system can generate a hyper-chaotic attractor in wide parameters regions.
Enzeng Dong, Zengqiang Chen, Zaiping Chen, Jianyun Ni   +3 more
semanticscholar   +1 more source

Analysis of supercritical pitchfork bifurcation in active magnetic bearing-rotor system with current saturation

Nonlinear dynamics, 2021
Xiaoshen Zhang, Zhe Sun, Lei Zhao, Xunshi Yan, Jingjing Zhao, Zhengang Shi   +5 more
semanticscholar   +1 more source

Complex mixed-mode vibration types triggered by the pitchfork bifurcation delay in a driven van der Pol-Duffing oscillator

Applied Mathematics and Computation, 2021
Xindong Ma, Yue Yu, Lifeng Wang
semanticscholar   +1 more source

Relaxation oscillations and the mechanism in a periodically excited vector field with pitchfork–Hopf bifurcation

Nonlinear dynamics, 2020
Yibo Xia, Zhengdi Zhang, Qinsheng Bi
semanticscholar   +1 more source

ZnO hollow pitchfork: coupled photo-piezocatalytic mechanism for antibiotic and pesticide elimination

Catalysis Science and Technology, 2022
Himmat Singh Kushwaha
exaly  

Theory for relaxation at a subcritical pitchfork bifurcation

Physical Review A, 1990
M. San Miguel, Pere Colet, Manuel O. Cáceres, F. de Pasquale   +3 more
openaire   +3 more sources