Results 101 to 110 of about 180,188 (276)
Some bifurcation methods of finding limit cycles
Mathematical Biosciences and Engineering, 2005 In this paper we outline some methods of finding limit cycles for planar autonomous systems with small parameter perturbations. Three ways of studying Hopf bifurcations and the method of Melnikov functions in studying Poincaré bifurcations are introduced
Maoan Han, Tonghua Zhang
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Elements of Applied Bifurcation Theory
Applied Mathematical Sciences, 2023 Y. Kuznetsov
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Codimension-two bifurcation analysis and chaos synchronization of a quarter-car vehicle model
Advances in Mechanical Engineering, 2018 In this study, codimension-two bifurcation analysis was used in conjunction with a novel control method to mediate chaos in a semi-active suspension system based on a quarter-car model with excitation introduced by the road surface profile.
Shun-Chang Chang, Jui-Feng Hu
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Homoclinic bifurcation analysis for logistic map
, 2022 Yuu Miino, Tetsushi Ueta
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, 2016 Previously obtained results from the study of homoclinic bifurcations in ordinary differential equations are presented. The standard technique of analysis involves the construction of a Poincaré map on a surface near to the homoclinic point. This map is the composition of an inside map, with behaviour linearized about the homoclinic point, together ...
Drysdale, D, Drysdale, David
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Global Bifurcation of a Novel Computer Virus Propagation Model
Abstract and Applied Analysis, 2014 In a recent paper by J. Ren et al. (2012), a novel computer virus propagation model under the effect of the antivirus ability in a real network is established.
Jianguo Ren, Yonghong Xu, Jiming Liu
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Degenerate Periodic Orbits and Homoclinic Torus Bifurcation
Physical Review Letters, 2005 A one-parameter family of periodic orbits with frequency omega and energy E of an autonomous Hamiltonian system is degenerate when E'(omega) = 0. In this paper, new features of the nonlinear bifurcation near this degeneracy are identified. A new normal form is found where the coefficient of the nonlinear term is determined by the curvature of the ...
Bridges, T J, Donaldson, N M
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Bifurcation analysis of modified Leslie-Gower predator-prey model with double Allee effect
Ain Shams Engineering Journal, 2018 In the present article, a modified Leslie-Gower predator-prey model with double Allee effect, affecting the prey population, is proposed and analyzed. We have considered both strong and weak Allee effects separately.
Manoj Kumar Singh +2 more
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Bifurcations and Stability of Nondegenerated Homoclinic Loops for Higher Dimensional Systems [PDF]
, 2013 Yinlai Jin +5 more
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, 2010 We prove that any diffeomorphism of a compact manifold can be approximated in topology C1 by another diffeomorphism exhibiting a homoclinic bifurcation (a homoclinic tangency or a heterodimensional cycle) or by one which is essentially hyperbolic (it has
Crovisier, Sylvain, Pujals, Enrique R.
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