Results 221 to 230 of about 20,499 (261)
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Biosystems, 1989
The interrelations of physics and biology are discussed. It is shown that Darwin can be considered as one of the founders of the important field of contemporary physics called physics of dissipative structures or synergetics. The theories of gradual and punctual evolution are presented.
M V, Volkenstein, M A, Livshits
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The interrelations of physics and biology are discussed. It is shown that Darwin can be considered as one of the founders of the important field of contemporary physics called physics of dissipative structures or synergetics. The theories of gradual and punctual evolution are presented.
M V, Volkenstein, M A, Livshits
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Periodically Perturbed Bifurcation. II. Hopf Bifurcation
Studies in Applied Mathematics, 1981We consider the effect of a periodic perturbation on the bifurcation behavior of a system of differential equations. It is shown that periodic solutions are, in general, modified into quasiperiodic solutions. Different phenomena are encountered in resonance and near‐resonance conditions, leading in some cases to separation of solution branches and in ...
Rosenblat, S., Cohen, Donald S.
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Periodically Perturbed Bifurcation—1. Simple Bifurcation
Studies in Applied Mathematics, 1980We consider the effect of a periodic perturbation on the bifurcation behavior of a system of differential equations. It is shown that constant solutions are modified into periodic solutions, and that the perturbations leads to the separation of solution branches.
Rosenblat, S., Cohen, Donald S.
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Control of the Hopf bifurcation in the Takens-Bogdanov bifurcation
2008 47th IEEE Conference on Decision and Control, 2008It is a well-known result that in a versal deformation of the Takens-Bogdanov bifurcation is possible to find dynamical systems that undergo saddle-node, homoclinic and Hopf bifurcations. In this document a nonlinear control system in the plane is considered, whose nominal vector field undergoes the Takens-Bogdanov bifurcation, and then the idea is to ...
Francisco Armando Carrillo Navarro +1 more
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To Bifurcate or Not To Bifurcate? That is the (Ambiguous) Question
Arbitration International, 2013Commentators and practitioners hold different views about ‘bifurcation’, i.e. the procedural technique of splitting the arbitral proceedings in distinct phases with a view of reaching decisions on discrete matters. The discussion mostly focuses on whether bifurcation is a source of efficiency or rather of useless additional costs and delays.
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1999
Abstract The solutions are real for λ 3 and λ 1, and complex for 3 < λ < 1. The graphs of Re(m1) and Re(m2) against λ are shown in Figure 12.1. Noting the signs of m1 and m2, we can observe that the equilibrium point at the origin is: A bifurcation occurs at the parametric value λ 1 where, as λ increases, the equilibrium ...
D W Jordan, P Smith
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Abstract The solutions are real for λ 3 and λ 1, and complex for 3 < λ < 1. The graphs of Re(m1) and Re(m2) against λ are shown in Figure 12.1. Noting the signs of m1 and m2, we can observe that the equilibrium point at the origin is: A bifurcation occurs at the parametric value λ 1 where, as λ increases, the equilibrium ...
D W Jordan, P Smith
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International Journal of Bifurcation and Chaos, 2007
The coalescence of a Hopf bifurcation with a codimension-two cusp bifurcation of equilibrium points yields a codimension-three bifurcation with rich dynamic behavior. This paper presents a comprehensive study of this cusp-Hopf bifurcation on the three-dimensional center manifold.
John Harlim, William F. Langford
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The coalescence of a Hopf bifurcation with a codimension-two cusp bifurcation of equilibrium points yields a codimension-three bifurcation with rich dynamic behavior. This paper presents a comprehensive study of this cusp-Hopf bifurcation on the three-dimensional center manifold.
John Harlim, William F. Langford
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Border-collision bifurcations: An explanation for observed bifurcation phenomena
Physical Review E, 1994Recently physical and computer experiments involving systems describable by continuous maps that are nondifferentiable on some surface in phase space have revealed novel bifurcation phenomena. These phenomena are part of a rich new class of bifurcations which we call border-collision bifurcations.
Nusse, Helena E. +2 more
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BIFURCATIONS OF GENERIC HETEROCLINIC LOOP ACCOMPANIED BY TRANSCRITICAL BIFURCATION
International Journal of Bifurcation and Chaos, 2008The bifurcations of generic heteroclinic loop with one nonhyperbolic equilibrium p1and one hyperbolic saddle p2are investigated, where p1is assumed to undergo transcritical bifurcation. Firstly, we discuss bifurcations of heteroclinic loop when transcritical bifurcation does not happen, the persistence of heteroclinic loop, the existence of homoclinic ...
Fengjie Geng, Dan Liu, Deming Zhu
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International Journal of Bifurcation and Chaos, 2003
In the Letter, we propose a simple, yet general and mathematically rigorous bifurcation control method for bifurcation suppression in an abstract system setting that covers both continuous and discrete cases defined by nonlinear operators in Banach spaces.
Guanrong Chen, Changpin Li
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In the Letter, we propose a simple, yet general and mathematically rigorous bifurcation control method for bifurcation suppression in an abstract system setting that covers both continuous and discrete cases defined by nonlinear operators in Banach spaces.
Guanrong Chen, Changpin Li
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