Results 1 to 10 of about 43 (33)
Bifurcations of Orbit and Inclination Flips Heteroclinic Loop with Nonhyperbolic Equilibria [PDF]
The Scientific World Journal, 2014 The bifurcations of heteroclinic loop with one nonhyperbolic equilibrium and one hyperbolic saddle are considered, where the nonhyperbolic equilibrium is supposed to undergo a transcritical bifurcation; moreover, the heteroclinic loop has an orbit flip ...
Fengjie Geng, Junfang Zhao
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Resonant Homoclinic Flips Bifurcation in Principal Eigendirections
Abstract and Applied Analysis, 2013 A codimension-4 homoclinic bifurcation with one orbit flip and one inclination flip at principal eigenvalue direction resonance is considered. By introducing a local active coordinate system in some small neighborhood of homoclinic orbit, we get the ...
Tiansi Zhang, Xiaoxin Huang, Deming Zhu
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Bifurcation Analysis of the Dynamics in COVID-19 Transmission through Living and Nonliving Media
Journal of Applied MathematicsTransmission 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 ...
Ario Wiraya +5 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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A topological approach to stability of pulses bifurcating from an inclination-flip homoclinic orbit [PDF]
Methods and Applications of Analysis, 2000 The paper deals with the linear stability problem of multiple pulse solutions of a parabolic system, which bifurcate from an inclination-flip homoclinic orbit. A topological approach is applied to the eigenvalue problem and a relation between the distribution of the eigenvalues and the geometry of the homoclinic orbits is proven.
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Complexity, Volume 2021, Issue 1, 2021., 2021 In this paper, a discrete‐time dynamic duopoly model, with nonlinear demand and cost functions, is established. The properties of existence and local stability of equilibrium points have been verified and analyzed. The stability conditions are also given with the help of the Jury criterion.
Hui Li, Wei Zhou, Tong Chu, Baogui Xin
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Complexity, Volume 2020, Issue 1, 2020., 2020 This paper concerns a discrete wild and sterile mosquito model with a proportional release rate of sterile mosquitoes. It is shown that the discrete model undergoes codimension‐2 bifurcations with 1 : 2, 1 : 3, and 1 : 4 strong resonances by applying the bifurcation theory.
Qiaoling Chen +4 more
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On the Price Dynamics of a Two‐Dimensional Financial Market Model with Entry Levels
Complexity, Volume 2020, Issue 1, 2020., 2020 This paper aims to extend the model developed by Tramontana et al. By adding trend followers who pay attention to the most recent observed price trend, we formulate a financial market model driven by a new two‐dimensional discontinuous piecewise linear (PWL) map with three branches.
En-Guo Gu, Átila Bueno
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Awakened Oscillations in Coupled Consumer‐Resource Pairs
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 The paper concerns two interacting consumer‐resource pairs based on chemostat‐like equations under the assumption that the dynamics of the resource is considerably slower than that of the consumer. The presence of two different time scales enables to carry out a fairly complete analysis of the problem.
Almaz Mustafin, Qingdu Li
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The Twisting Bifurcations of Double Homoclinic Loops with Resonant Eigenvalues
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 The twisting bifurcations of double homoclinic loops with resonant eigenvalues are investigated in four‐dimensional systems. The coexistence or noncoexistence of large 1‐homoclinic orbit and large 1‐periodic orbit near double homoclinic loops is given. The existence or nonexistence of saddle‐node bifurcation surfaces is obtained.
Xiaodong Li +4 more
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