Results 91 to 100 of about 180,188 (276)

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   +1 more source

Analysis of the Stability and Chaotic Dynamics of an Ecological Model

Complexity, Volume 2024, Issue 1, 2024.
Modelling has become an eminent tool in the study of ecological systems. Ecological modelling can help implement sustainable development, mathematical models, and system analysis that explain how ecological processes can promote the sustainable management of resources.
Muhammad Aqib Abbasi, Qamar Din, Olayan Albalawi, Rizwan Niaz, Mohammed Ahmed Alomair, Abdullah Mohammed Alomair, Daniel Oro   +6 more
wiley   +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

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

Chaos and Control in Coronary Artery System

Discrete Dynamics in Nature and Society, 2012
Two types of coronary artery system N-type and S-type, are investigated. The threshold conditions for the occurrence of Smale horseshoe chaos are obtained by using Melnikov method.
Yanxiang Shi
doaj   +1 more source

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

Multistable Solitons in the Cubic-Quintic Discrete Nonlinear Schr\"odinger Equation

, 2005
We analyze the existence and stability of localized solutions in the one-dimensional discrete nonlinear Schr\"{o}dinger (DNLS) equation with a combination of competing self-focusing cubic and defocusing quintic onsite nonlinearities.
Alfimov, Aubry, B.A. Malomed, Boudebs, Bountis, C. Chong, Campbell, Carretero-González, Carretero-González, Cataliotti, Chen, Cheskis, Christodoulides, Christodoulides, Cowan, Dauxois, Dorignac, Eisenberg, Flach, Flach, Fleischer, Gisin, Greiner, Hadžievski, J.D. Talley, Kapitula, Kevrekidis, Kevrekidis, Khare, Koukouloyannis, Koukouloyannis, Laedke, Li, MacKay, Malomed, Malomed, Merhasin, Pertsch, Porter, Pushkarov, R. Carretero-González, Sato, Sato, Seaman, Smektala, Stepić, Trombettoni, Tsironis, Tsironis, Vakhitov, Vinetskii, Wang, Zhan, Öster   +53 more
core   +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

Bifurcations of Nontwisted Heteroclinic Loop with Resonant Eigenvalues

The Scientific World Journal, 2014
By using the foundational solutions of the linear variational equation of the unperturbed system along the heteroclinic orbits to establish the local coordinate systems in the small tubular neighborhoods of the heteroclinic orbits, we study the ...
Yinlai Jin, Xiaowei Zhu, Zheng Guo, Han Xu, Liqun Zhang, Benyan Ding   +5 more
doaj   +1 more source

Blue Sky Catastrophe in Systems with Non-classical Relaxation Oscillations

Моделирование и анализ информационных систем, 2015
The feasibility of a known blue-sky bifurcation in a class of three-dimensional singularly perturbed systems of ordinary differential equations with one fast and two slow variables is studied.
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov   +2 more
doaj   +1 more source