Editorial — Nonlinear Dynamics in Bio-Systems

Chen, Guanrong Ron

doi:10.1142/s0218127415020010

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2018

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“…Methods having been used to solve Duffing equation such as Perturbation method [1], average method [2], parameter iteration method [3], Newton-harmonic balance method [4], weighted parameters method [5] and variational iteration method [6]. These methods have both advantages and disadvantages, for example, perturbation method can be used only on the condition of the existence of small parameter, parameter iteration method can be used to solve strong nonlinear Duffing equation and so on.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the High Order Terms on Periodic Solution Bifurcations of the Generalized Duffing Systems

Chen

2013

AMR

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Section: Introductionmentioning

confidence: 99%

Analysis of the High Order Terms on Periodic Solution Bifurcations of the Generalized Duffing Systems

Chen

2013

AMR

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Complex Dynamics in a Triopoly Game with Multiple Delays in the Competition of Green Product Level

2018

Int. J. Bifurcation Chaos

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Research on the output game behavior of oligopoly has greatly advanced in recent years. But many unknowns remain, particularly the influence of consumers’ willingness to buy green products on the oligopoly output game. This paper constructs a triopoly output game model with multiple delays in the competition of green products. The influence of the parameters on the stability and complexity of the system is studied by analyzing the existence and local asymptotic stability of the equilibrium point. It is found that the system loses stability and increases complexity if delay parameters exceed a certain range. In the unstable or chaotic game market, the decisions of oligopoly will be counterproductive. It is also observed that the influence of weight and output adjustment speed on the firm itself is obviously stronger than the influence of other firms. In addition, it is important that weight and output adjustment speed cannot increase indefinitely, otherwise it will bring unnecessary losses to the firm. Finally, chaos control is realized by using the variable feedback control method. The research results of this paper can provide a reference for decision-making for the output of the game of oligopoly.

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Editorial — Nonlinear Dynamics in Bio-Systems

Cited by 2 publications

References 0 publications

Analysis of the High Order Terms on Periodic Solution Bifurcations of the Generalized Duffing Systems

Analysis of the High Order Terms on Periodic Solution Bifurcations of the Generalized Duffing Systems

Complex Dynamics in a Triopoly Game with Multiple Delays in the Competition of Green Product Level

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