Results 311 to 320 of about 169,243 (353)

Bifurcation and chaos detection of a fractional Duffing-van der Pol oscillator with two periodic excitations and distributed time delay.

Chaos, 2023
This paper analytically and numerically investigates the dynamical characteristics of a fractional Duffing-van der Pol oscillator with two periodic excitations and the distributed time delay.
Yufeng Zhang, Jing Li, Shaotao Zhu, Hongzhen Zhao   +3 more
semanticscholar   +1 more source

Stochastic perturbation of pitchfork bifurcations

Structural Safety, 1989
Abstract In this paper the sensitivity to random parametric pertubation of dynamical systems that exhibit a pitchfork bifurcation is investigated. The largest Lyapunov exponent is evaluated to study the stability of the trivial solution of the linearized system. The bifurcating solution is then studied by analyzing the mean energy of the system.
S.T. Ariaratnam, Wei-Chau Xie
openaire   +2 more sources

Equivariant Hopf-Pitchfork Bifurcation of Symmetric Coupled Neural Network with Delay

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2016
This paper is concerned with how the symmetry and singularity of a system of differential equations affect generic dynamics and bifurcations. By computation of Hopf-pitchfork point in a two-parameter nonlinear problem satisfying a D3-symmetry condition ...
Baodong Zheng, Haidong Yin, Chunrui Zhang   +2 more
semanticscholar   +1 more source

Computing multiple pitchfork bifurcation points

Computing, 1997
For the parameter dependent nonlinear equation \(F(x,\lambda) =0\), \(F: \mathbb{R}^n \times \mathbb{R}^1 \to\mathbb{R}^n\), the generically important case \(\text{rank} \partial_x E(x^*, \lambda^*) =n-1\) is investigated. In a neighborhood of such pitchfork bifurcation point \((x^*, \lambda^*)\) of multiplicity \(p\geq 1\) the Lyapunov-Schmidt ...
Gerd Pönisch, Hubert Schwetlick, U. Schnabel   +2 more
openaire   +3 more sources

Investigation of pitchfork bifurcation phenomena effects on heat transfer of viscoelastic flow inside a symmetric sudden expansion

, 2017
In this paper, the inertial and non-isothermal flows of the viscoelastic fluid through a planar channel with symmetric sudden expansion are numerically simulated.
A. Shahbani-Zahiri, H. Hassanzadeh, M. Shahmardan, M. Norouzi   +3 more
semanticscholar   +1 more source

Nonlinear Dynamic Bifurcation and Chaos Characteristics of Piezoelectric Composite Lattice Sandwich Plates

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2023
This paper investigates the nonlinear bifurcation and chaos characteristics of piezoelectric composite lattice sandwich plates at 1:3 internal resonance.
T. Ma, Wei Zhang, Yufei Zhang, A. Amer, C. Lim   +4 more
semanticscholar   +1 more source

A REMARK ON HETEROCLINIC BIFURCATIONS NEAR STEADY STATE/PITCHFORK BIFURCATIONS [PDF]

International Journal of Bifurcation and Chaos, 2004
We consider a bifurcation that occurs in some two-dimensional vector fields, namely a codimension-one bifurcation in which there is simultaneously the creation of a pair of equilibria via a steady state bifurcation and the destruction of a large amplitude periodic orbit.
Edgar Knobloch, Vivien Kirk
openaire   +1 more source

ON THE HOPF–PITCHFORK BIFURCATION IN THE CHUA'S EQUATION

International Journal of Bifurcation and Chaos, 2000
We study some periodic and quasiperiodic behaviors exhibited by the Chua's equation with a cubic nonlinearity, near a Hopf–pitchfork bifurcation. We classify the types of this bifurcation in the nondegenerate cases, and point out the presence of a degenerate Hopf–pitchfork bifurcation. In this degenerate situation, analytical and numerical study shows
Manuel Merino, Emilio Freire, E. Gamero, Alejandro J. Rodríguez-Luis, Antonio Algaba   +4 more
openaire   +2 more sources

Interactions of Hopf and Pitchfork Bifurcations

1980
Non linear interactions between a Hopf bifurcation and a pitchfork-type stationary bifurcation can produce secondary bifurcations of periodic solutions, and tertiary bifurcations of periodic or aperiodic solutions lying on an invariant torus. A complete classification of the resulting bifurcation diagrams is presented, with emphasis on the cases which ...
William F. Langford, Gérard Iooss
openaire   +2 more sources

Spectral signature of the pitchfork bifurcation: Liouville equation approach

Physical Review E, 1995
The time evolution of probability densities of one-dimensional nonlinear vector fields is studied using a Liouville equation approach. It is shown that the Liouville operator admits a discrete spectrum of eigenvalues of decaying type if the vector field is far from bifurcation.
Gaspard, Pierre, Nicolis, Grégoire, Provata, Astero, Tasaki, Shuichi   +3 more
openaire   +3 more sources