Results 211 to 220 of about 203,161 (272)
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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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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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On the analysis of hopf bifurcations
International Journal of Engineering Science, 1983Abstract The oscillatory instability and the family of limit cycles associated with a general autonomous dynamical system described by n nonlinear first order differential equations and an independently assignable scalar parameter are examined via an intrinsic method of harmonic analysis.
K. Huseyin, A.S. Atadan
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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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On Generalized Hopf Bifurcations
Journal of Dynamic Systems, Measurement, and Control, 1984Two distinct degenerate Hopf bifurcation phenomena associated with autonomous lumped-parameter systems are explored in great detail via the intrinsic harmonic balancing method. It is assumed that the Hopf’s transversality condition is violated and certain other conditions prevail.
K. Huseyin, A. S. Atadan
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Physica D: Nonlinear Phenomena, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edgar Knobloch, P. Hirschberg
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edgar Knobloch, P. Hirschberg
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Double Hopf Bifurcation in Delayed reaction–diffusion Systems
Journal of Dynamics and Differential Equations, 2018Double Hopf bifurcation analysis can be used to reveal some complicated dynamical behavior in a dynamical system, such as the existence or coexistence of periodic orbits, quasi-periodic orbits, or even chaos.
Yanfei Du +3 more
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Hopf bifurcation with constraints
Nonlinear Analysis: Theory, Methods & Applications, 1983IN THIS study we give conditions for the existence of periodic orbits of a strongly continuous semiflow which branch off from a steady state for a certain parameter value. The semiflow is defined in a closed subset of a Banach space which contains the steady state.
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