Application of a two-degrees-of-freedom controller to chaotic dynamical systems

Toshio Kameda; Kazuyuki Aihara; Yoichi Hori

doi:10.1002/eej.4391140511

Application of a two-degrees-of-freedom controller to chaotic dynamical systems

Electrical Engineering in Japan ◽

10.1002/eej.4391140511 ◽

1994 ◽

Vol 114 (5) ◽

pp. 90-97

Author(s):

Toshio Kameda ◽

Kazuyuki Aihara ◽

Yoichi Hori

Keyword(s):

Dynamical Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom ◽

Chaotic Dynamical Systems

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Apsidal angles for symmetrical dynamical systems with two degrees of freedom

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1948-08962-5 ◽

1948 ◽

Vol 54 (2) ◽

pp. 111-119 ◽

Cited By ~ 1

Author(s):

J. L. Synge

Keyword(s):

Dynamical Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom

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Dynamical Systems with Two Degrees of Freedom

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.3.4.314 ◽

1917 ◽

Vol 3 (4) ◽

pp. 314-316 ◽

Cited By ~ 2

Author(s):

G. D. Birkhoff

Keyword(s):

Dynamical Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom

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Computerized formal solutions of dynamical systems with two degrees of freedom and an application to the contopoulos potential—I

Computers & Mathematics with Applications ◽

10.1016/0898-1221(81)90030-4 ◽

1981 ◽

Vol 7 (6) ◽

pp. 451-471 ◽

Cited By ~ 8

Author(s):

W.H. Presler ◽

R. Broucke

Keyword(s):

Dynamical Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom ◽

Formal Solutions

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Conservation laws of rheo-linear dynamical systems with one-and two-degrees-of-freedom

International Journal of Non-Linear Mechanics ◽

10.1016/0020-7462(92)90089-p ◽

1992 ◽

Vol 27 (2) ◽

pp. 309-322 ◽

Cited By ~ 3

Author(s):

B.D. Vujanocić

Keyword(s):

Dynamical Systems ◽

Conservation Laws ◽

Degrees Of Freedom ◽

Linear Dynamical Systems ◽

Two Degrees Of Freedom

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On the Disappearance of Isolating Integrals in Dynamical Systems with More than Two Degrees of Freedom

The Stability of the Solar System and of Small Stellar Systems ◽

10.1007/978-94-010-9877-9_41 ◽

1974 ◽

pp. 297-310 ◽

Cited By ~ 5

Author(s):

C. Froeschlé ◽

J.-P. Scheidecker

Keyword(s):

Dynamical Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom

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Second-Order Stability of Dynamical Systems with Two Degrees of Freedom

The Astronomical Journal ◽

10.1086/110859 ◽

1969 ◽

Vol 74 ◽

pp. 789 ◽

Cited By ~ 2

Author(s):

John D. Hadjidemetriou

Keyword(s):

Dynamical Systems ◽

Degrees Of Freedom ◽

Second Order ◽

Two Degrees Of Freedom ◽

Stability Of Dynamical Systems

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Dynamical systems with two degrees of freedom

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1917-1501070-3 ◽

1917 ◽

Vol 18 (2) ◽

pp. 199-199 ◽

Cited By ~ 147

Author(s):

George D. Birkhoff

Keyword(s):

Dynamical Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom

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Computerized formal solutions of dynamical systems with two degrees of freedom and an application to the Contopoulos potential—II

Computers & Mathematics with Applications ◽

10.1016/0898-1221(81)90031-6 ◽

1981 ◽

Vol 7 (6) ◽

pp. 473-485 ◽

Cited By ~ 6

Author(s):

W.H. Presler ◽

R. Broucke

Keyword(s):

Dynamical Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom ◽

Formal Solutions

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Numerical study of the stochasticity of dynamical systems with more than two degrees of freedom

Journal of Computational Physics ◽

10.1016/0021-9991(73)90082-x ◽

1973 ◽

Vol 11 (3) ◽

pp. 423-439 ◽

Cited By ~ 19

Author(s):

Claude Froeschle ◽

Jean-Paul Scheidecker

Keyword(s):

Dynamical Systems ◽

Degrees Of Freedom ◽

Numerical Study ◽

Two Degrees Of Freedom

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Symmetries and Topology of Dynamical Systems with two Degrees of Freedom

Hamiltonian Mechanics - NATO ASI Series ◽

10.1007/978-1-4899-0964-0_13 ◽

1994 ◽

pp. 167-172

Author(s):

Valery Kozlov

Keyword(s):

Dynamical Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom ◽

And Topology

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