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Hopf bifurcation and the Hopf fibration [PDF]
Nonlinearity, 1994 Summary: We present techniques for studying the local dynamics generated by an equivariant Hopf bifurcation. We show that under general hypothesis we can expect the formation of a branch of attracting invariant spheres with capture all the local dynamics.
James W. Swift, Michael Field
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Physical Review E, 2020
We present a framework for performing input-output system identification near a Hopf bifurcation using data from only the fixed-point branch, prior to the Hopf point itself.
Minwoo Lee +3 more
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We present a framework for performing input-output system identification near a Hopf bifurcation using data from only the fixed-point branch, prior to the Hopf point itself.
Minwoo Lee +3 more
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International journal of circuit theory and applications, 2020
This article mainly focuses on the stability and the existence of Hopf bifurcation of integer‐order and fractional‐order two‐neuron neural networks with delay.
Changjin Xu, C. Aouiti
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This article mainly focuses on the stability and the existence of Hopf bifurcation of integer‐order and fractional‐order two‐neuron neural networks with delay.
Changjin Xu, C. Aouiti
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Stability and Hopf Bifurcation of a Delayed Prey-Predator Model with Disease in the Predator
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2019Dealing with the epidemiological prey–predator is very important for us to understand the dynamical characteristics of population models. The existing literature has shown that disease introduction into the predator group can destabilize the established ...
Chuangxia Huang +3 more
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, 1985 The term Hopf bifurcation refers to a phenomenon in which a steady state of an evolution equation evolves into a periodic orbit as a bifurcation parameter is varied. The Hopf bifurcation theorem (Theorem 3.2) provides sufficient conditions for determining when this behavior occurs.
Martin Golubitsky, David G. Schaeffer
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The Journal of Applied Analysis and Computation, 2019
The interactions of diffusion-driven Turing instability and delayinduced Hopf bifurcation always give rise to rich spatiotemporal dynamics. In this paper, we first derive the algorithm for the normal forms associated with the Turing-Hopf bifurcation in ...
Yongli Song, Heping Jiang, Yuan Yuan
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The interactions of diffusion-driven Turing instability and delayinduced Hopf bifurcation always give rise to rich spatiotemporal dynamics. In this paper, we first derive the algorithm for the normal forms associated with the Turing-Hopf bifurcation in ...
Yongli Song, Heping Jiang, Yuan Yuan
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