Results 71 to 80 of about 38,020 (248)
Unfoldings of Singular Hopf Bifurcation [PDF]
SIAM Journal on Applied Dynamical Systems, 2012 Singular Hopf bifurcation occurs in generic families of vector-fields with two slow variables and one fast variable. Normal forms for this bifurcation depend upon several parameters, and the dynamics displayed by the normal forms is intricate. This paper analyzes a normal form for this bifurcation.
Guckenheimer, John, Meerkamp, Philipp
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Kaldor, Hicks and Goodwin Meet the Supermultiplier: On Growth Cycles and Autonomous Demand
Metroeconomica, Volume 76, Issue 4, Page 545-556, November 2025.ABSTRACT This paper presents an approach to reconciling short‐run business cycles with long‐run growth in macroeconomic models. It addresses recent criticisms of supermultiplier models by developing a framework that combines investment‐driven cycles with autonomous demand‐led growth in the long run.
Ettore Gallo
wiley +1 more source
Control of dynamic Hopf bifurcations [PDF]
Nonlinearity, 1999 The slow passage through a Hopf bifurcation leads to the delayed appearance of large amplitude oscillations. We construct a smooth scalar feedback control which suppresses the delay and causes the system to follow a stable equilibrium branch. This feature can be used to detect in time the loss of stability of an ageing device.
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Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability
Studies in Applied Mathematics, Volume 155, Issue 5, November 2025.ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
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Stability and Hopf bifurcation on an SEIR delayed model with logistic growth [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 This paper investigates the stability and Hopf bifurcation of SEIR delay model with logistic growth. Firstly, the existence and uniqueness of equilibrium point are analyzed.
Aekabut Sirijampa +2 more
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A Synthesized Neural Control System for Bioinspired Robots to Achieve Diverse Locomotion
Advanced Intelligent Systems, Volume 7, Issue 10, October 2025.A novel hexapod robot named RENS H2 based on the synthesized neural control system. The control system is constructed based on the central pattern generator and virtual motoneurons network, serving as the foundation of the behavioral network. It encompasses omnidirectional movement, regulation of motor neuron intensity, sensorimotor integration, local ...
Chunchao Liu, Yaguang Zhu, Zhigang Han
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Hopf Bifurcations on Cubic Lattices [PDF]
Nonlinearity, 2003 The author continues his previous work in this article. The standard results on equivariant Hopf bifurcation are applied. Explicit computations concerning stability are performed.
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Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system [PDF]
Nonlinear Dynamics, 2015 Agraïments: The first author is partially supported by FAPESP Grant 2013/2454-1, CAPES Grant 88881.068462/2014-01 and EU Marie-Curie IRSES Brazilian-European partnership in Dyn. Systems (FP7-PEOPLE-2012-IRSES 318999 BREUDS). Agraïments: The second author is partially supported CAPES Grant Number 88881.
Claudio Buzzi +2 more
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Engineering Reports, Volume 7, Issue 10, October 2025.This work presents a secure telemedicine cryptosystem based on a novel 4D memristive chaotic oscillator and a Dispatched Gray Code Scrambler (DGCS). Implemented on FPGA, the system ensures power‐efficient encryption, making it suitable for real‐time medical image transmission in IoT healthcare environments.
Fritz Nguemo Kemdoum +3 more
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Bifurcation Analysis of a Lotka-Volterra Mutualistic System with Multiple Delays
Abstract and Applied Analysis, 2014 A class of Lotka-Volterra mutualistic system with time delays of benefit and feedback delays is introduced. By analyzing the associated characteristic equation, the local stability of the positive equilibrium and existence of Hopf bifurcation are ...
Xin-You Meng, Hai-Feng Huo
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