Results 81 to 90 of about 12,431 (232)
Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2456-2462, 15 March 2026.ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
wiley +1 more source
Subcritical Hopf bifurcations in a car-following model with reaction-time delay
, 2005 A nonlinear car-following model of highway traffic is considered, which includes the reaction-time delay of drivers. Linear stability analysis shows that the uniform flow equilibrium of the system loses its stability via Hopf bifurcations and thus ...
Orosz, G, Stepan, G
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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.
openaire +2 more sources
Time after time – circadian clocks through the lens of oscillator theory
FEBS Letters, Volume 600, Issue 6, Page 808-836, March 2026.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
Systems Science & Control Engineering, 2019 This paper is concerned with a delayed eco-epidemic model with a Leslie–Gower Holling type III functional response. The main results are given in terms of permanence and Hopf bifurcation.
Zi Zhen Zhang +3 more
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Hopf bifurcation control for the main drive delay system of rolling mill
Advances in Difference Equations, 2020 In this work, the Hopf bifurcation of the main drive delay system of rolling mill is controlled and analyzed by designing a nonlinear controller. The time-delay is selected as a bifurcation parameter, and the following conclusions are obtained through ...
Jinbin Wang, Lifeng Ma, Yong Wang
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Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
wiley +1 more source
Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays
Abstract and Applied Analysis, 2013 This paper is concerned with a computer virus model with two delays. Its dynamics are studied in terms of local stability and Hopf bifurcation. Sufficient conditions for local stability of the positive equilibrium and existence of the local Hopf ...
Zizhen Zhang, Huizhong Yang
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Spatiotemporal symmetries in the disynaptic canal-neck projection [PDF]
, 2007 The vestibular system in almost all vertebrates, and in particular in humans, controls balance by employing a set of six semicircular canals, three in each inner ear, to detect angular accelerations of the head in three mutually orthogonal coordinate ...
Golubitsky, Martin +2 more
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, 2013 This paper is a survey on Hopf bifurcation, Hopf bifurcation is very important in many areas. In this paper, we focus on the properties and proofs of Hopf bifurcation.
曾仲麟, Tseng, Chung-Lin
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