지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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In this paper, a 3D autonomous system, which has only stable or non-hyperbolic equilibria but still generates chaos, is presented.
This system is topologically non-equivalent to the original Lorenz system and all Lorenz-type systems. This motivates us to further study some of its dynamical behaviors, such as the local stability of equilibrium points, the Lyapunov exponent, the dissipativity, the chaotic waveform in time domain, the continuous frequency spectrum, the Poincare map and the forming mechanism for compound structure of its special cases.
Especially, with the help of the Project Method, its Hopf bifurcation of codimension one is in detailed formulated. Numerical simulation results not only examine the corresponding theoretical analytical results, but also show that this system possesses abundant and complex dynamical properties not solved theoretically, which need further attention.
목차
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참고문헌 (30)
참고문헌 신청
B. Munmuangsaen / 2009 / A new ve-term simple chaotic attractor / Phys. Lett. A 373 : 4038 ~ 4043
C. Li / 2003 / A note on Hopf bifurcation in Chen's system / Internat. J. Bifur. Chaos Appl. Sci. Engrg 13 (6) : 1609 ~ 1615
C. Liu / 2004 / A new chaotic attractor / Chaos Solitons Fractals 22 (5) : 1031 ~ 1038
C. P. Silva / 1993 / Silnikov theorem-a tutorial / IEEE Trans. Circuits Systems I Fund. Theory Appl 40 (10) : 657 ~ 682
C. Sparrow / 1982 / Applied Mathematical Sciences, 41 / Springer-Verlag
C. Li / 2003 / A note on Hopf bifurcation in Chen's system / Internat. J. Bifur. Chaos Appl. Sci. Engrg 13 (6) : 1609 ~ 1615
C. Liu / 2004 / A new chaotic attractor / Chaos Solitons Fractals 22 (5) : 1031 ~ 1038
C. P. Silva / 1993 / Silnikov theorem-a tutorial / IEEE Trans. Circuits Systems I Fund. Theory Appl 40 (10) : 657 ~ 682
C. Sparrow / 1982 / Applied Mathematical Sciences, 41 / Springer-Verlag
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