Results 41 to 50 of about 180,188 (276)
Bifurcations of Orbit and Inclination Flips Heteroclinic Loop with Nonhyperbolic Equilibria
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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Bursting Oscillations in Shimizu-Morioka System with Slow-Varying Periodic Excitation
Shock and Vibration, 2018 The coupling effect of two different frequency scales between the exciting frequency and the natural frequency of the Shimizu-Morioka system with slow-varying periodic excitation is investigated.
Xindong Ma, Shuqian Cao
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Bogdanov–Takens Bifurcation in a Shape Memory Alloy Oscillator with Delayed Feedback
Complexity, 2020 This work is focused on a shape memory alloy oscillator with delayed feedback. The main attention is to investigate the Bogdanov–Takens (B-T) bifurcation by choosing feedback parameters A1,2 and time delay τ.
Jinbin Wang, Lifeng Ma
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Hopf bifurcation control of the ML neuron model with Hc bifurcation type
Electronic Research Archive, 2022 It is shown that many neurological diseases are caused by the changes of firing patterns induced by bifurcations. Therefore, the bifurcation control may provide a potential therapeutic method of these neurodegenerative diseases.
Qinghua Zhu, Meng Li, Fang Han
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Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial
, 2012 A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems with the Lorenz attractor.
Abad A. +19 more
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Journal of Biological Dynamics, 2020 In this paper, Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate and the effect of periodic and bounded noise on the chaotic motion of SIR model possessing homoclinic orbits are ...
Yanxiang Shi
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Invariant manifolds of the Bonhoeffer-van der Pol oscillator
, 2010 The stable and unstable manifolds of a saddle fixed point (SFP) of the Bonhoeffer-van der Pol oscillator are numerically studied. A correspondence between the existence of homoclinic tangencies (whic are related to the creation or destruction of Smale ...
Benítez, R., Bolós, V. J.
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Homoclinic Orbits In Slowly Varying Oscillators [PDF]
, 1987 We obtain existence and bifurcation theorems for homoclinic orbits in three-dimensional flows that are perturbations of families of planar Hamiltonian systems. The perturbations may or may not depend explicitly on time.
Holmes, Philip, Wiggins, Stephen
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Journal of Applied Mathematics, 2014 Two predator-prey models with nonmonotonic functional response and state-dependent impulsive harvesting are formulated and analyzed. By using the geometry theory of semicontinuous dynamic system, we obtain the existence, uniqueness, and stability of the ...
Mingzhan Huang, Xinyu Song
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Моделирование и анализ информационных систем, 2015 We consider a finite-dimensional model of phase oscillators with inertia in the case of star configuration of coupling. The system of equations is reduced to a nonlinearly coupled system of pendulum equations.
V. N. Belykh +2 more
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