発表論文等
原著論文
K. Yagasaki [2024a],
Nonintegrability of dissipative planar systems,
Physica D,
461, 134106.
K. Yagasaki [2024b],
Nonintegrability of time-periodic perturbations of single-degree-of-freedom Hamiltonian systems near homo- and heteroclinic orbits,
Physica D,
464, 134189.
K. Yagasaki [2024c],
Non-integrability of the restricted three-body problem,
Ergodic Theory and Dynamical Systems,
in press.
S. Motonaga and K. Yagasaki [2024],
Nonintegrability of forced nonlinear oscillators,
Japan Journal of Industrial and Applied Mathematics.
41, 151-164.
Y. Takeguchi and K. Yagasaki [2024],
Optimal control of the SEIR epidemic model using a dynamical systems approach,
Japan Journal of Industrial and Applied Mathematics.
41, 297-316.
K. Yagasaki [2023a],
Nonintegrability of dynamical systems near degenerate equilibria,
Communications in Mathematical Physics,
398, 1129-1152.
K. Yagasaki [2023b],
Integrability of the Zakharov-Shabat systems by quadrature,
Communications in Mathematical Physics,
400, 315-340.
K. Yagasaki [2023c],
Analytic and algebraic conditions for bifurcations of homoclinic orbits II:
Reversible systems,
Journal of Dynamics and Differential Equations,
35, 1863-1884.
K. Yagasaki [2023d],
Nonintegrability of the SEIR epidemic model,
Physica D,
453, 133820.
K. Yagasaki [2023e],
Nonintegrability of truncated Poincaré-Dulac normal forms of resonance degree two,
Journal of Differential Equations,
373, 526-563.
K. Yagasaki [2023f],
Periodic perturbations of codimension-two bifurcations with a double zero eigenvalue in symmetrical dynamical systems,
International Journal of Bifurcation and Chaos,
33, 2330030.
R. Ihara and K. Yagasaki [2023],
Continuum limits of coupled oscillator networks depending on multiple sparse graphs,
Journal of Nonlinear Science,
33, 62.
S. Motonaga and K. Yagasaki [2023],
Obstruction to integrability of nearly integrable dynamical systems near regular level sets,
Archive for Rational Mechanics and Analysis,
247, 44.
K. Yagasaki and S. Yamazoe [2023],
Bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations,
Journal of Differential Equations,
372, 348-401.
K. Yagasaki [2022a],
Optimal control of the SIR epidemic model based on dynamical systems theory,
Discrete and Continuous Dynamical Systems B,
27, 2501-2513.
K. Yagasaki [2022b],
Existence of finite time blow-up solutions in a normal form of the subcritical Hopf bifurcation with time-delayed feedback for small initial functions,
Discrete and Continuous Dynamical Systems B,
27, 2621-2634.
K. Yagasaki [2022c],
Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits,
Journal of Nonlinear Science,
32, 43.
K. Yagasaki and S. Yamazoe [2022],
Numerical computations for bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations,
Japan Journal of Industrial and Applied Mathematics,
39, 257-281.
S. Motonaga and K. Yagasaki [2021],
Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems,
Nonlinearity,
34, 7574-7608.
T. Saito and K. Yagasaki [2021],
Chebyshev spectral methods for computing center manifolds,
Journal of Computational Dynamics,
8, 165-181.
K. Yagasaki and S. Yamazoe [2021],
Numerical analyses for spectral stability of solitary waves near bifurcation points,
Japan Journal of Industrial and Applied Mathematics,
38, 125-140.
P.B. Acosta-Humanez and K. Yagasaki [2020],
Nonintegrability of the unfoldings of codimension-two bifurcations,
Nonlinearity,
33, 1366-1387.
K. Yagasaki and T. Stachowiak [2020],
Bifurcations of radially symmetric solutions in a coupled elliptic system with critical growth in R^d for d=3,4,
Journal of Mathematical Analysis and Applications,
484, 123726.
K. Yagasaki and S. Yamanaka [2019],
Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers,
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA),
15, 049.
K. Yagasaki and S. Yamazoe [2019],
Bifurcation of relative equilibria in infinite-dimensional Hamiltonian systems,
SIAM Journal on Applied Dynamical Systems,
18, 393-417.
K. Yagasaki [2018a],
Nonintegrability of the unfolding of the fold-Hopf bifurcation,
Nonlinearity,
31, 341-350.
K. Yagasaki [2018b],
Melnikov processes and chaos in randomly perturbed dynamical systems,
Nonlinearity,
31, 3057-3085.
K. Yagasaki [2018c],
Heteroclinic transition motions in periodic perturbations of conservative systems with an application to forced rigid body dynamics,
Regular and Chaotic Dynamics,
23, 438-457.
S. Motonaga and K. Yagasaki [2018],
Nonintegrability of parametrically forced nonlinear oscillators,
Regular and Chaotic Dynamics,
23, 291-303.
K. Yagasaki [2017],
Rough external feedback control of microcantilevers in atomic force microscopy
,
Nonlinear Dynamics,
87, 2335-2343.
K. Yagasaki and S. Yamanaka [2017],
Nonintegrability of dynamical systems with homo- and heteroclinic orbits,
Journal of Differential Equations,
263, 1009-1027.
G.H.M. van der Heijden and K. Yagasaki [2014],
Horseshoes for the nearly symmetric heavy top,
Journal of Applied Mathematics and Physics (ZAMP),
65, 221-240.
K. Yagasaki [2013a],
Application of the subharmonic Melnikov method to piecewise-smooth systems,
Discrete and Continuous Dynamical Systems A,
33, 2189-2209.
K. Yagasaki [2013b],
Bifurcations from one-parameter families of symmetric periodic orbits in reversible systems,
Nonlinearity,
26, 1345-1360.
K. Yagasaki [2013c],
Nonlinear dynamics and bifurcations in external feedback control of microcantilevers in atomic force microscopy,
Communications in Nonlinear Science and Numerical Simulation,
18, 2926-2943.
K. Yagasaki [2013d],
Monotonicity of the period function for u''-u+u^p=0 with p¥in¥mathbb{R} and p>1,
Journal of Differential Equations,
255, 1988-2001.
Y. Miyamoto and K. Yagasaki [2013],
Monotonicity of the first eigenvalue and the global bifurcation diagram for the branch of interior peak solutions,
Journal of Differential Equations,
254, 342-367.
D. Blazquez-Sanz and K. Yagasaki [2012a],
Analytic and algebraic conditions for bifurcations of homoclinic orbits I:
Saddle equilibria,
Journal of Differential Equations,
253, 2916-2950.
D. Blazquez-Sanz and K. Yagasaki [2012b],
Galoisian approach for a Sturm-Liouville problem
on the infinite interval,
Methods and Applications of Analysis,
19, 267-288.
B.A. Malomed, T. Wagenknecht and K. Yagasaki [2012],
Families of solitons in Bragg supergratings,
Physica D,
241, 1043-1058.
K. Yagasaki [2011],
Higher-order Melnikov method and chaos for two-degree-of-freedom Hamiltonian systems with saddle-centers,
Discrete and Continuous Dynamical Systems A,
29, 387-402.
M. Shibayama and K. Yagasaki [2011],
Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem,
Celestial Mechanics and Dynamical Astronomy,
110, 53-70.
G.H.M. van der Heijden and K. Yagasaki [2011],
Nonintegrability of an extensible conducting rod in a uniform magnetic field,
Journal of Physics A,
44, 495101.
K. Yagasaki [2010],
New control methodology of microcantilevers in atomic force microscopy,
Physics Letters A,
375, 23-28.
M. Shibayama and K. Yagasaki [2009],
Heteroclinic connections between triple collisions and relative periodic orbits in the isosceles three-body problem,
Nonlinearity,
22, 2377-2403.
K. Yagasaki [2008],
Invariant manifolds and control of hyperbolic trajectories on infinite or finite-time intervals,
Dynamical Systems,
23, 309-331.
T. Sakajo and K. Yagasaki [2008a],
Chaotic motion of the N-vortex problem on a sphere:
I. Saddle-centers in two-degree-of-freedom Hamiltonians,
Journal of Nonlinear Science,
18, 485-525.
T. Sakajo and K. Yagasaki [2008b],
Chaotic motion of the N-vortex problem on a sphere:
II. Saddle centers in three-degree-of-freedom Hamiltonians,
Physica D,
237, 2078-2083.
K. Yagasaki [2007a],
Bifurcations and chaos in vibrating microcantilevers of tapping mode atomic force microscopy,
International Journal of Non-Linear Mechanics,
42, 658-672.
K. Yagasaki [2007b],
Extension of a chaos control method to unstable trajectories on infinite or finite-time intervals: Experimental verification,
Physics Letters A,
368, 222-226.
K. Yagasaki and T. Wagenknecht [2006],
Detection of symmetric homoclinic orbits to saddle-centres in reversible systems,
Physica D,
214，169-181.
K. Yagasaki, I.M. Merhasin, B.A. Malomed,
T. Wagenknecht and A.R. Champneys [2006],
Gap solitons in Bragg gratings with a harmonic superlattice,
Europhysics Letters,
74, 1006-1012.
K. Yagasaki [2005],
Homoclinic and heteroclinic orbits to invariant tori in multi-degree-of-freedom Hamiltonian systems with saddle-centres,
Nonlinearity,
18, 1331-1350.
K. Yagasaki, A.R. Champneys and B.A. Malomed [2005],
Discrete embedded solitons,
Nonlinearity,
18, 2591-2613.
K. Yagasaki and M. Kouyama [2005],
Exclusion of false periodic orbits detected from chaotic time series,
International Journal of Bifurcation and Chaos,
15, 659-665.
K. Yagasaki [2004a],
Computation of low energy Earth-to-Moon transfers with moderate flight time,
Physica D,
197, 313-331.
K. Yagasaki [2004b],
Nonlinear dynamics of vibrating microcantilevers in tapping-mode atomic force microscopy,
Physical Review B,
70, 245419.
K. Yagasaki [2004c],
Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time,
Celestial Mechanics and Dynamical Astronomy,
90, 197-212.
K. Yagasaki and H. Tamagawa [2004],
Experimental estimate of viscoelastic properties for ionic polymer-metal composites,
Physical Review E,
70, 052801.
H. Tamagawa，F. Nogata and K. Yagasaki [2004],
An interpretation on amphoteric gel hardness variation through potential and hardness measurement,
Journal of Colloid and Interface Science,
275, 107-112.
K. Yagasaki [2003a],
Degenerate resonances in forced oscillators,
Discrete and Continuous Dynamical Systems B,
3, 423-438.
K. Yagasaki [2003b],
Galoisian obstructions to integrability and Melnikov criteria for chaos in two-degree-of-freedom Hamiltonian systems with saddle-centres,
Nonlinearity,
16, 2003-2012.
K. Yagasaki [2003c],
Nonintegrability of an infinite-degree-of-freedom model for unforced and undamped，straight beams,
Transactions of the ASME，Journal of Applied Mechanics,
70, 732-738.
H. Tamagawa，F. Nogata，T. Watanabe，A. Abe，K. Yagasaki
and J.-Y. Jin [2003],
Influence of metal plating treatment on the electric response of Nafion,
Journal of Materials Science,
38, 1039-1044.
K. Yagasaki [2002a],
Melnikov's method and codimension-two bifurcations in forced oscillations,
Journal of Differential Equations,
185, 1-24.
K. Yagasaki [2002b],
Numerical evidence of fast diffusion in a three-degree-of-freedom Hamiltonian system with a saddle-center,
Physics Letters A,
301, 45-52.
K. Yagasaki [2002c],
Detection of homoclinic bifurcations in resonance zones of forced oscillators,
Nonlinear Dynamics,
28, 285-307.
K. Yagasaki and M. Kumagai [2002],
External feedback control of chaos using approximate periodic orbits,
Physical Review E,
65, 026204.
H. Tamagawa，K. Yagasaki and F. Nogata [2002],
Mechanical characteristics of ionic polymer-metal composite in the process of self-bending,
Journal of Applied Physics,
92, 7614-7618.
K. Yagasaki [2001],
Homoclinic and heteroclinic behavior in an infinite-degree-of-freedom Hamiltonian system:
Chaotic free vibrations of an undamped，buckled beam,
Physics Letters A,
285, 55-62.
K. Yagasaki and Y. Tochio [2001],
Experimental control of chaos by modifications of delayed feedback,
International Journal of Bifurcation and Chaos,
11, 3125-3132.
K. Yagasaki [2000],
Horseshoes in two-degree-of-freedom Hamiltonian systems with saddle-centers,
Archive for Rational Mechanics and Analysis,
154, 275-296.
K. Yagasaki [1999a],
Homoclinic tangles, phase locking and chaos in a two-frequency perturbation of Duffing's equation,
Journal of Nonlinear Science,
9, 131-148.
K. Yagasaki [1999b],
Codimension-two bifurcations in a pendulum with feedback control,
International Journal of Non-Linear Mechanics,
34, 983-1002.
K. Yagasaki [1999c],
The method of Melnikov for perturbations of multi-degree-of-freedom Hamiltonian systems,
Nonlinearity,
12, 799-822.
K. Yagasaki [1999d],
Detection of bifurcation structures by higher-order averaging for Duffing's equation,
Nonlinear Dynamics,
18, 129-158.
K. Yagasaki [1999e],
Periodic and homoclinic motions in forced, coupled oscillators,
Nonlinear Dynamics,
20, 319-359.
K. Yagasaki and T. Ichikawa [1999],
Higher-order averaging for periodically forced, weakly nonlinear oscillators,
International Journal of Bifurcation and Chaos,
9, 519-531
(or
Proceedings of the ICNBC'96,
International Conference on Nonlinearity, Bifurcation and Chaos:
the Doors to the Future
(J. Awrejcewicz and C.-H. Lamarque, eds.), pp. 263-266).
K. Yagasaki and S. Yamashita [1999],
Controlling chaos using nonlinear approximations for a pendulum with feedforward and feedback control,
International Journal of Bifurcation and Chaos,
9, 233-241.
K. Yagasaki [1998a],
Higher-order averaging and ultra-subharmonics in forced oscillators,
Journal of Sound and Vibration,
210, 529-553.
K. Yagasaki [1998b],
Dynamics of a simple model for a wind loaded, nonlinear structure:
bifurcations of codimension one and two,
Transactions of the ASME Journal of Applied Mechanics,
65, 505-512.
K. Yagasaki [1998c],
Numerical detection and continuation of homoclinic points and their bifurcations for maps and periodically forced systems,
International Journal of Bifurcation and Chaos,
8, 1617-1627.
K. Yagasaki [1998d],
Dynamics of a pendulum with feedforward and feedback control,
JSME International Journal,
41, 545-554.
K. Yagasaki and T. Uozumi [1998a],
A new approach for controlling chaotic dynamical systems,
Physics Letters A,
238, 349-357.
K. Yagasaki and T. Uozumi [1998b],
Controlling chaos using nonlinear approximations and delay coordinate embedding,
Physics Letters A,
247, 129-139.
K. Yagasaki and T. Uozumi [1997],
Controlling chaos in a pendulum subjected to feedforward and feedback control,
International Journal of Bifurcation and Chaos,
7, 2827-2835.
K. Yagasaki [1996a],
Second-order averaging and Melnikov analyses for forced nonlinear oscillators,
Journal of Sound and Vibration,
190, 587-609.
K. Yagasaki [1996b],
A simple feedback control system:
Bifurcations of periodic orbits and chaos,
Nonlinear Dynamics, 9, 391-417.
K. Yagasaki [1996c],
The Melnikov theory for subharmonics and their bifurcations in forced oscillations,
SIAM Journal on Applied Mathematics,
56, 1720-1765.
K. Yagasaki [1995a],
Bifurcations and chaos in a quasiperiodically forced beam:
theory, simulation and experiment,
Journal of Sound and Vibration,
183, 1-31.
矢ヶ崎一幸 [1995b],
パラメトリックおよび外部励振を受けるDuffing系のカオス
第1報，非摂動セパラトリックス近傍におけるホモクリニック挙動）,
日本機械学会論文集, 61C, 2240-2246.
K. Yagasaki [1994a],
Homoclinic motions and chaos in the quasiperiodically forced van der Pol-Duffing oscillator
with single well potential,
Proceedings of the Royal Society of London, Series A,
445, 597-617.
K. Yagasaki [1994b],
Chaos in a pendulum with feedback control,
Nonlinear Dynamics,
6, 125-142.
K. Yagasaki [1993],
Chaotic motions near homoclinic manifolds and resonant tori in quasiperiodic perturbations of planar Hamiltonian systems,
Physica D,
69, 232-269.
K. Yagasaki [1992a],
Chaotic dynamics of a quasiperiodically forced beam,
Transactions of the ASME Journal of Applied Mechanics,
59, 161-167.
K. Yagasaki [1992b],
Chaotic dynamics of quasiperiodically forced oscillators detected by Melnikov's method,
SIAM Journal on Mathematical Analysis,
23, 1230-1254.
K. Yagasaki [1991a],
Chaos in a weakly nonlinear oscillator with parametric and external resonances,
Transactions of the ASME Journal of Applied Mechanics,
58, 244-250.
K. Yagasaki [1991b],
Chaotic dynamics of weakly nonlinear systems with two-frequency forcing,
Facta Universitatis, University of Nis, Series:
Mechanics, Automatic Control and Robotics,
1, 15-38.
K. Yagasaki [1990],
Second-order averaging and chaos in quasiperiodically forced weakly nonlinear oscillators, Physica D,
44, 445-458.
K. Yagasaki, M. Sakata and K. Kimura [1990],
Dynamics of a weakly nonlinear system subjected to combined parametric and external excitation,
Transactions of the ASME Journal of Applied Mechanics,
57, 209-217.
木村康治，矢ヶ崎一幸，坂田勝 [1987],
非白色性励振を受ける線形系の閾値通過問題，
日本機械学会論文集, 53C, 1653-1662.
矢ヶ崎一幸，木村康治，坂田勝 [1987],
非白色性励振を受ける非線形系の応答に対する
初通過確率および閾値通過回数の確率分布，
日本機械学会論文集, 53C, 2183-2190.
木村康治，矢ヶ崎一幸，吉村博，坂田勝 [1986],
塑性ヒステリシス特性を有するはり構造物の不規則振動，
日本機械学会論文集, 52C, 3019-3026.
矢ヶ崎一幸，木村康治，坂田勝 [1986],
不規則振動における初通過確率および閾値通過回数の確率分布の推定，
日本機械学会論文集, 52C, 631-638.
木村康治，矢ヶ崎一幸，坂田勝 [1984],
非白色性励振を受ける双線形ヒステリシス系の非定常不規則応答解析，
日本機械学会論文集(C編)，50C, 278-287.
K. Kimura, K. Yagasaki and M. Sakata [1983],
Non-stationary response of a system
with bilinear hysteresis subjected to non-white random excitation,
Journal of Sound and Vibration, 91, 181-194.
国際会議論文
K. Yagasaki [2015],
Analytic and algebraic conditions for bifurcations of homoclinic orbits in reversible systems,
Nonlinear Dynamics in Partial Differential Equations,
Advances Studies in Pure Mathematics Vol. 64,
Mathematical Society of Japan, Tokyo, Japan,
pp. 229–234.
K. Yagasaki [2005a],
Detection of homoclinic and heteroclinic behavior in Hamiltonian systems with saddle-centers,
Equadiff 2003:
International Conference on Differential Equations,
Hasselt, Belgium,
pp. 984-989.
K. Yagasaki [2005b],
Existence of horseshoes in the generalized Henon-Heiles system under degenerate conditions,
Proceedings of the Fifth EUROMECH Nonlinear Dynamics Conference,
Eindhoven, The Netherlands,
Paper No. 12-311.
K. Yagasaki [2005c],
Chaos and diffusion in four-dimensional，non-conservative，reversible systems
with saddle-centers,
Proceedings of the Fifth EUROMECH Nonlinear Dynamics Conference,
Eindhoven, The Netherlands,
Paper No. 13-312.
K. Yagasaki [2005d],
Nonlinear analyses for the dynamics of microcantilevers in tapping mode atomic force microscopy,
Proceedings of the Fifth EUROMECH Nonlinear Dynamics Conference,
Eindhoven, The Netherlands,
Paper No. 19-307.
H. Tamagawa，F. Nogata，T. Watanabe，A. Abe and K. Yagasaki [2002],
Bending curvature and generated force by Nafion actuator,
2002 IEEE International Conference on Industrial Technology Proceedings, Bangkok, Thailand,
2, pp. 945-949.
K. Yagasaki [2001],
Bifurcations and chaos in forced，coupled pendula,
2001 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference,
Pittsburgh，Pennsylvania，USA, VIB-21625 (CD-ROM).
K. Yagasaki [1996],
The Melnikov theory for subharmonics and chaos, and its extension to forced coupled oscillators,
Proceedings of the 2nd European Nonlinear Oscillations Conference
(L. Pust and F. Peterka, eds.), Vol.1, pp. 495-498.
K. Yagasaki [1994],
Homoclinic orbits to normally hyperbolic invariant tori and chaos in multi-frequency perturbations of planar Hamiltonian systems,
Towards the Harnessing of Chaos
- Proceedings of the 7th Toyota Conference,
Lake Hamana, Shizuoka, Japan
(M. Yamaguti, ed.), Elsevier, pp. 419-422.
K. Kimura, K. Yagasaki and M. Sakata [1988],
Random vibrations of a beam structure with elastoplastic hysteresis,
Proceedings of Ninth World Conference
on Earthquake Engineering
(Tokyo-Kyoto), V, pp. 241-246.
著書
矢ヶ崎一幸 [2020]，
集合と位相，
学術図書．
矢ヶ崎一幸 [2013]，
微分方程式の基礎と解法，
学術図書．
矢ヶ崎一幸 [2007]，
第6章カオスの解析と制御，
非線形系のダイナミクス―非線形現象の解析入門 (機械学会編)，コロナ社，
pp. 187-227; pp. 230-233.
矢ヶ崎一幸 [1994]，
第6章 非線形振動とカオス，
例題で学ぶ振動工学 (鈴木浩平編著)，丸善，
pp. 69-85.
矢ヶ崎一幸 [1993]，
第7章 非線形振動とカオス，
ポイントを学ぶ振動工学 (鈴木浩平編著)，丸善，
pp. 89-102.
その他
K. Yagasaki [2002],
Detection of subharmonics and their bifurcations in forced oscillations:
Some extensions of the subharmonic Melnikov method,
Recent Research Developments in Sound and Vibration,
Transworld Research Network, Trivandrum, India,
pp. 659-695.
K. Yagasaki [1995],
Melnikov's method and chaos in quasiperiodically forced systems,
Nonlinear Dynamics: New Theoretical and Applied Results
(J. Awrejcewicz, ed.), Akademie-Verlag, Berlin,
179-211.
Latest Updating is on May 10, 2024.
English version is
here.
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