Results 91 to 100 of about 7,371 (144)

Homoclinic Bifurcations with Nonhyperbolic Equilibria

SIAM Journal on Mathematical Analysis, 1990
A general geometric approach is given for bifurcation problems with homoclinic orbits to nonhyperbolic equilibrium points of ordinary differential equations. It consists of a special normal form called admissible variables, exponential expansion, strong $\lambda $-lemma, and Lyapunov–Schmidt reduction for the Poincare maps under Sil’nikov variables ...
openaire   +3 more sources

Limit Cycles and Local Bifurcation of Critical Periods in a Class of Switching Z2 Equivariant Quartic System

Discrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.
In this paper, the limit cycles and local bifurcation of critical periods for a class of switching Z2 equivariant quartic system with two symmetric singularities are investigated. First, through the computation of Lyapunov constants, the conditions of the two singularities to become the centers are determined.
Jian Yang, Jukun Liu, Jingping Lu, Chunrui Zhang   +3 more
wiley   +1 more source

Bifurcations and Averages in the Homoclinic Chaos of a Laser with a Saturable Absorber

, 2003
The dynamical bifurcations of a laser with a saturable absorber were calculated, with the 3-2 level model, as function of the gain parameter. The average power of the laser is shown to have specific behavior at bifurcations.
Dangoisse, de B. Oliveira-Neto, de Oliveira, Hennequin, Hugo L.D.de S. Cavalcante, José R.Rios Leite, L.D. de S. Cavalcante, Lefranc, Lorenz, Papoff, Tachikawa, Zambon   +11 more
core   +1 more source

Homoclinic bifurcations in Chua's circuit [PDF]

Physica A: Statistical Mechanics and its Applications, 1999
Abstract In this paper we study the possible relationship between the Birth of the Double Scroll [L.O. Chua et al., IEEE-CAS 33(11) (1986) 1073] and the homoclinic bifurcations in the traditional Chua's equations. Using a one-dimensional Poincare map we determine the existence of secondary symmetric homoclinic orbits of Shil'nikov type, born with the
Sandra Kahan, Anibal C. Sicardi-Schifino
openaire   +2 more sources

Bifurcation Analysis of the Dynamics in COVID‐19 Transmission through Living and Nonliving Media

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
Transmission of COVID‐19 occurs either through living media, such as interaction with a sufferer, or nonliving objects contaminated with the virus. Recovering sufferers and disinfectant spraying prevent interaction between people and virus become the treatment to overcome it.
Ario Wiraya, Laila Fitriana, Triyanto, Yudi Ari Adi, Yuvita Andriani Kusumadewi, Sarah Khoirunnisa, Fernando Simoes   +6 more
wiley   +1 more source

Families of solitons in Bragg supergratings

, 2012
We study fundamental optical gap solitons in the model of a fiber Bragg grating (BG), which is subjected to a periodic modulation of the local reflectivity, giving rise to a supergrating.
Malomed, Boris A., Wagenknecht, Thomas, Yagasaki, Kazuyuki   +2 more
core   +1 more source

Bifurcation diagrams for singularly perturbed system: the multi-dimensional case.

Electronic Journal of Qualitative Theory of Differential Equations, 2013
We consider a singularly perturbed system where the fast dynamics of the unperturbed problem exhibits a trajectory homoclinic to a critical point. We assume that the slow time system admits a unique critical point, which undergoes a bifurcation as a ...
Matteo Franca
doaj   +1 more source

Bifurcation in a G0 Model of Hematological Stem Cells With Delay

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
The periodical dynamics of a G0 cell cycle model of pluripotential stem cells is analyzed by DDE‐Biftool software. The cell cycle model is impressed by modeling the optional choice of Hill function, which is benefited by Fourier transformation. The cell cycle is based on DDEs with distributed time delay, in which the kernel function is denoted by Gamma‐
Ma Suqi, S. J. Hogan, Mohammad Safi Ullah   +2 more
wiley   +1 more source

Incomplete approach to homoclinicity in a model with bent-slow manifold geometry

, 2000
The dynamics of a model, originally proposed for a type of instability in plastic flow, has been investigated in detail. The bifurcation portrait of the system in two physically relevant parameters exhibits a rich variety of dynamical behaviour ...
Albahadily, Ananthakrishna, Ananthakrishna, Ananthakrishna, Ananthakrishna, Ananthakrishna, Argoul, Arneodo, Baer, Baer, Barkley, Bertram, Boissonade, Brindley, Chay, Coffman, Cottrell, Deng, Elnashaie, Epstein, G. Ananthakrishna, Gaspard, Gaspard, Glazov, Glendinning, Györgi, Hauser, Knobloch, Koper, Koper, Koper, Markworth, Milik, Noronha, Noronha, Petrov, Pikovsky, S. Rajesh, Simoyi, Turner, Valsakumar, Wang   +41 more
core   +1 more source

Simple-Zero and Double-Zero Singularities of a Kaldor-Kalecki Model of Business Cycles with Delay

Discrete Dynamics in Nature and Society, 2009
We study the Kaldor-Kalecki model of business cycles with delay in both the gross product and the capital stock. Simple-zero and double-zero singularities are investigated when bifurcation parameters change near certain critical values.
Xiaoqin P. Wu
doaj   +1 more source