Results 11 to 20 of about 13,646 (248)
Flip and Neimark-Sacker Bifurcations in a Coupled Logistic Map System [PDF]
Discrete Dynamics in Nature and Society, 2020 In this paper, we consider a system of strongly coupled logistic maps involving two parameters. We classify and investigate the stability of its fixed points. A local bifurcation analysis of the system using center manifold theory is undertaken and then supported by numerical computations.
A. Mareno, L. Q. English
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Experimental Evidence of Amplitude Death and Phase-Flip Bifurcation between In-Phase and Anti-Phase Synchronization. [PDF]
Sci Rep, 2018 Manoj K, Pawar SA, Sujith RI.
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THE FOLD-FLIP BIFURCATION [PDF]
International Journal of Bifurcation and Chaos, 2004 The fold-flip bifurcation occurs if a map has a fixed point with multipliers +1 and -1 simultaneously. In this paper the normal form of this singularity is calculated explicitly. Both local and global bifurcations of the unfolding are analyzed by exploring a close relationship between the derived normal form and the truncated amplitude system for the ...
Yuri A. Kuznetsov +2 more
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Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations [PDF]
Nonlinearity, 2001 The paper presents a careful numerical study of two homoclinic codimension-three bifurcations. In these resonant homoclinic flip bifurcations both a resonance between real eigenvalues and some codimension-two flip bifurcation (inclination flip or orbit flip) occur simultaneously.
Bart E. Oldeman +2 more
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Hopf-flip bifurcations of vibratory systems with impacts [PDF]
Nonlinear Analysis: Real World Applications, 2005 Two vibro-impact systems are considered. The period n single-impact motions and Poincaré maps of the vibro-impact systems are derived analytically. Stability and local bifurcations of single-impact periodic motions are analyzed by using the Poincaré maps.
G.W. Luo
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Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study [PDF]
SIAM Journal on Applied Dynamical Systems, 2018 We study a homoclinic flip bifurcation of case~\textbf{C}, where a homoclinic orbit to a saddle equilibrium with real eigenvalues changes from being orientable to nonorientable. This bifurcation is of codimension two, and it is the lowest codimension for a homoclinic bifurcation of a real saddle to generate chaotic behavior in the form of (suspended ...
Andrus Giraldo +2 more
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Bifurcation of a heterodimensional cycle with weak inclination flip
Discrete & Continuous Dynamical Systems - B, 2012 Local moving frame is constructed to analyze the bifurcation of a heterodimensional cycle with weak inclination flip in $\mathbb{R}^4$. Under some generic hypotheses, the existence conditions for the heteroclinic orbit, $1$-homoclinic orbit, $1$-periodic orbit and two-fold or three-fold $1$-periodic orbit are given, respectively.
Zhiqin Qiao, Deming Zhu, Qiuying Lu
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Computing connecting orbits to infinity associated with a homoclinic flip bifurcation
Journal of Computational Dynamics, 2020 18 pages, 11 ...
Andrus Giraldo +2 more
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Flip and generalized flip bifurcations of a two-dimensional discrete-time chemical model
Mathematical Modelling and Numerical Simulation with Applications, 2021 This paper focuses on introducing a two-dimensional discrete-time chemical model and the existence of its fixed points. Also, the one and two-parameter bifurcations of the model are investigated. Bifurcation analysis is based on numerical normal forms. The flip (period-doubling) and generalized flip bifurcations are detected for this model.
Parvaiz Ahmad Naik +2 more
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Resonant Homoclinic Bifurcations with Orbit Flips and Inclination Flips
Applied Mathematics, 2013 Homoclinic bifurcation with one orbit flip, two inclination flips and resonance in the tangent directions of homoclinic orbit is considered. By studying the associated successor functions constructed from a local active coordinate system, we prove the existence of double 1-periodic orbit, 1-homoclinic orbit, and also some coexistence conditions of 1 ...
Tiansi Zhang
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