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On Relative Stability in 4-Dimensional Duck Solution 被引量:1

On Relative Stability in 4-Dimensional Duck Solution
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机构地区 Executive
出处 《Journal of Mathematics and System Science》 2012年第9期558-563,共6页 数学和系统科学(英文版)
关键词 相对稳定性 鸭解 不变流形 局部模型 矢量场 吸引力 奇异点 系统 Slow-fast system, singular perturbation, bifurcation, nonstandard analysis.
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参考文献9

  • 1K. Tchizawa, On a Local Model for Finding 4-Dimensional Duck Solutions, Selected Topics in Mathematical Methods and Computational Techniques in Electrical Engineering, 2010, pp. 177-183.
  • 2A.K. Zvonkin, M.A. Shubin, Non-standard analysis and singular perturbations of ordinary differential equations, Russian Math. Surveys 39 (1984) 69-131.
  • 3E. Benoit, Canards et enlacements, Publ. Math. IHES 72 (1990), 63-91.
  • 4E. Benoit, Canards en un point pseudo-singulier noeud, Bulletin de la SMF (1999), 2-12.
  • 5S.A. Campbell, M. Waite, Multistability in coupled Fitzhugh-Nagumo oscillators, Nonlinear Analysis 47 (2000) 1093-1104.
  • 6K. Tchizawa, S.A. Campbell, On winding duck solutionsin R4, Proceedings of Neural, Parallel, and Scientific Computations 2 (2002) 315-318.
  • 7N.P. Bhatia, G.P. Szego, Stability Theory of Dynamical Systems, Springer, 161 (1970).
  • 8K. Tchizawa, H. Miki, H. Nishino, On the existence of a duck solution in Goodwin's nonlinear business cycle model, Nonlinear Analysis 63 (2005) e2553-e2558.
  • 9H. Miki, H. Nishino, K. Tchizawa, On the possible occurrence of duck solutions in domestic and two-region business cycle models, Nonlinear Studies 19 (1) (2012) 39-55.

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