Results 231 to 240 of about 228,096 (272)

On the analysis of hopf bifurcations

International Journal of Engineering Science, 1983
Abstract 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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On Generalized Hopf Bifurcations

Journal of Dynamic Systems, Measurement, and Control, 1984
Two 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
openaire   +3 more sources

Šil'nikov-Hopf bifurcation

Physica D: Nonlinear Phenomena, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edgar Knobloch, P. Hirschberg
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Stability and Hopf Bifurcation of Fractional-Order Complex-Valued Single Neuron Model with Time Delay

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2017
In this paper, the problems of stability and Hopf bifurcation in a class of fractional-order complex-valued single neuron model with time delay are addressed.
Zhen Wang, Xiaohong Wang, Yuxia Li, Xia Huang   +3 more
semanticscholar   +1 more source

Double Hopf Bifurcation in Delayed reaction–diffusion Systems

Journal of Dynamics and Differential Equations, 2018
Double 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, Ben Niu, Yuxiao Guo, Junjie Wei   +3 more
semanticscholar   +1 more source

Hopf bifurcation with constraints

Nonlinear Analysis: Theory, Methods & Applications, 1983
IN 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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Turing-Hopf bifurcation analysis in a superdiffusive predator-prey model.

Chaos, 2018
The predator-prey model with superdiffusion is investigated in this paper. Here, the existence of Turing-Hopf bifurcation and the resulting dynamics are studied.
Biao Liu, R. Wu, Liping Chen
semanticscholar   +1 more source

Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation

SIAM Journal on Applied Dynamical Systems, 2017
Intertidal mussels can self-organize into periodic spot, stripe, labyrinth, and gap patterns ranging from centimeter to meter scales. The leading mathematical explanations for these phenomena are the reaction-diffusion-advection model and the phase ...
Yongli Song, Heping Jiang, Quan‐Xing Liu, Yuan Yuan   +3 more
semanticscholar   +1 more source

Insight into Hopf Bifurcation and Control Methods in Fractional Order BAM Neural Networks Incorporating Symmetric Structure and Delay

Cognitive Computation, 2023
Peiluan Li, Yuejing Lu, Changjin Xu, Jing Ren   +3 more
semanticscholar   +1 more source

Chua Corsage Memristor Oscillator via Hopf Bifurcation

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2016
This paper demonstrates that the Chua Corsage Memristor, when connected in series with an inductor and a battery, oscillates about a locally-active operating point located on the memristor’s DC V–I curve. On the operating point, a small-signal equivalent
Zubaer Ibna Mannan, Hyuncheol Choi, Hyongsuk Kim   +2 more
semanticscholar   +1 more source