Publication

2024

• Nonintegrability of dissipative planar systems
  Kazuyuki YAGASAKI
  Physica D, 461, 134106 (2024)
  DOI: 10.1016/j.physd.2024.134106
  

• Reconstruction of phase dynamics from macroscopic observations based on linear and nonlinear response theories
  Yoshiyuki Y. YAMAGUCHI and Yu Terada
  Physical Review E 109, No.2, 024217 (2024)
  DOI: 10.1103/PhysRevE.109.024217
  
• Optimal control of the SEIR epidemic model using a dynamical systems approach
  Yoshiki TAKEGUCHI and Kazuyuki YAGASAKI
  Japan Journal of Industrial and Applied Mathematics, 41, No.1, 297-316 (2024)
  DOI: 10.1007/s13160-023-00605-7
  

• Nonintegrability of forced nonlinear oscillators
  Shoya MOTONAGA and Kazuyuki YAGASAKI
  Japan Journal of Industrial and Applied Mathematics, 41, No.1, 151-164 (2024)
  DOI: 10.1007/s13160-023-00592-9
  

2023

• Periodic perturbations of codimension-two bifurcations with a double zero eigenvalue in symmetrical dynamical systems
  Kazuyuki YAGASAKI
  International Journal of Bifurcation and Chaos, 33, 2330030 (2023)
  DOI: 10.1142/S0218127423300306
  

• Nonintegrability of truncated Poincaré-Dulac normal forms of resonance degree two
  Kazuyuki YAGASAKI
  Journal of Differential Equations, 373, 526-563 (2023)
  DOI: 10.1016/j.jde.2023.07.017
  

• Braids, metallic ratios and periodic solutions of the 2n-body problem
  Yuika KAJIHARA, Eiko KIN, and Mitsuru SHIBAYAMA
  Topology and its Applications, 337, 108640 (2023)
  DOI: 10.1016/j.topol.2023.108640
  

• Bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations
  Kazuyuki YAGASAKI and Shotaro YAMAZOE
  Journal of Differential Equations, 372, 348-401 (2023)
  DOI: 10.1007/s13160-021-00485-9
  

• Nonintegrability of the SEIR epidemic model
  Kazuyuki YAGASAKI
  Physica D, 453, 133820 (2023)
  DOI: 10.1016/j.physd.2023.133820
  

• Mode selectivity of dynamically induced conformation in many-body chainlike bead-spring models
  Yoshiyuki Y. YAMAGUCHI
  Physical Review E 107, No.6, 064212 (2023)
  DOI: 10.1103/PhysRevE.107.064212
  

• Continuum limits of coupled oscillator networks depending on multiple sparse graphs,
  Ryosuke IHARA and Kazuyuki YAGASAKI
  Journal of Nonlinear Science, 33, No. 4, 62 (2023)
  DOI: 10.1007/s00332-023-09921-1
  

• Analytic and algebraic conditions for bifurcations of homoclinic orbits II: Reversible systems
  Kazuyuki YAGASAKI
  Journal of Dynamics and Differential Equations, 35, No. 2, 1863–1884 (2023)
  DOI: 10.1007/s10884-021-10091-5
  

• Variational proof of the existence of periodic orbits in the anisotropic Kepler problem
  Shota IGUCHI and Mitsuru SHIBAYAMA
  Celestial Mechanics and Dynamical Astronomy, 135, No. 3, 27 (2023)
  DOI: 10.1007/s10569-023-10133-8
  

• Discontinuous codimension-two bifurcation in a Vlasov equation
  Yoshiyuki Y. YAMAGUCHI and Julien BARRÉ
  Physical Review E 107, No.5, 054203 (2023)
  DOI: 10.1103/PhysRevE.107.054203
  

• Integrability of the Zakharov-Shabat systems by quadrature
  Kazuyuki YAGASAKI
  Communications in Mathematical Physics, 400, No. 1, 315–340 (2023)
  DOI: 10.1007/s00220-022-04610-8
  

• Obstruction to integrability of nearly integrable dynamical systems near regular level sets
  Shoya MOTONAGA and Kazuyuki YAGASAKI
  Archive for Rational Mechanics and Analysis, 247, No. 3, 44 (2023)
  DOI: 10.1007/s00205-023-01880-x
  

• Nonintegrability of dynamical systems near degenerate equilibria
  Kazuyuki YAGASAKI
  Communications in Mathematical Physics, 398, No. 3, 1129-1152 (2023)
  DOI: 10.1007/s00220-022-04545-0
  

• Variational proof of the existence of periodic orbits in the spatial Hill problem and its constrained problems
  Shota IGUCHI, Yuika KAJIHARA and Mitsuru SHIBAYAMA
  Japan Journal of Industrial and Applied Mathematics, 40, No. 1, 513–524 (2023)
  DOI: 10.1007/s13160-022-00539-6
  

2022

• Dynamically induced conformation depending on excited normal modes of fast oscillation
  Yoshiyuki Y. YAMAGUCHI, Tatsuo YANAGITA, Tetsuro KONISHI, and Mikito TODA
  Physical Review E 105, No.6, 064201 (2022)
  DOI: 10.1103/PhysRevE.105.064201
  

• Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits
  Kazuyuki YAGASAKI
  Journal of Nonlinear Science, 32, No. 4, 43 (2022)
  DOI: 10.1007/s00332-022-09802-z
  

• Existence of finite time blow-up solutions in a normal form of the subcritical Hopf bifurcation with time-delayed feedback for small initial functions
  Kazuyuki YAGASAKI
  Discrete and Continuous Dynamical Systems B, 27, No. 5, 2521-2534 (2022)
  DOI: 10.3934/dcdsb.2021151
  

• Optimal control of the SIR epidemic model based on dynamical systems theory
  Kazuyuki YAGASAKI
  Discrete and Continuous Dynamical Systems B, 27, No. 5, 2501-2513 (2022)
  DOI: 10.3934/dcdsb.2021144
  

• Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem
  Yuika KAJIHARA and Mitsuru SHIBAYAMA
  Nonlinearity, 35, No. 3, 1431–1446(2022)
  DOI: 10.1088/1361-6544/ac4c2b
  

• A mechanical true random number generator
  Nozomi AKASHI, Kohei NAKAJIMA, Mitsuru SHIBAYAMA and Yasuo KUNIYOSHI
  New Journal of Physics, 24, 013019 (2022)
  DOI: 10.1088/1367-2630/ac45ca
  

• Numerical computations for bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations
  Kazuyuki YAGASAKI and Shotaro YAMAZOE
  Japan Journal of Industrial and Applied Mathematics, 39, No. 1, 257-281 (2022)
  DOI: 10.1007/s13160-021-00485-9
  

2021

• Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems
  Shoya MOTONAGA and Kazuyuki YAGASAKI
  Nonlinearity, 34, No. 11, 7574-7608 (2021)
  DOI: 10.1088/1361-6544/ac24e4
  

• Nonintegrability of the reduced planar three-body problem with generalized force
  Mitsuru SHIBAYAMA and Junji YAMADA
  Regular and Chaotic Dynamics, 26, 439–455 (2021)
  DOI: 10.1134/S156035472104007

• Chebyshev spectral methods for computing center manifolds
  Takeshi SAITO and Kazuyuki YAGASAKI
  Journal of Computational Dynamics, 8, No. 2, 165-181 (2021)
  DOI: 10.3934/jcd.2021008
  

• Numerical analyses for spectral stability of solitary waves near bifurcation points
  Kazuyuki YAGASAKI and Shotaro YAMAZOE
  Japan Journal of Industrial and Applied Mathematics, 38, No. 1, 125-140 (2021)
  DOI: 10.1007/s13160-020-00428-w
  

2020

• Critical exponents in coupled phase-oscillator models on small-world networks
  Ryosuke YONEDA, Kenji HARADA, and Yoshiyuki Y. YAMAGUCHI
  Physical Review E 102, No.6, 062212 (2020)
  DOI: 10.1103/PhysRevE.102.062212
  

• Towards a classification of bifurcations in Vlasov equations
  Julien BARRÉ, David MÉTIVIER, and Yoshiyuki Y. YAMAGUCHI
  Physical Review E 102, No.5, 052208 (2020)
  DOI: 10.1103/PhysRevE.102.052208
  

• Classification of bifurcation diagrams in coupled phase-oscillator models with asymmetric natural frequency distributions
  Ryosuke YONEDA and Yoshiyuki Y. YAMAGUCHI
  Journal of Statistical Mechanics: Theory and Experiment (2020) 033403
  DOI: https://doi.org/10.1088/1742-5468/ab6f5f
  

• Nonintegrability of the unfoldings of codimension-two bifurcations
  Primitivoi B. ACOSTA-HUMANEZ and Kazuyuki YAGASAKI
  Nonlinearity, 33, No. 4, 1366-1387 (2020)
  DOI: 10.1088/1361-6544/ab60d4
  

• Linear response theory for coupled phase oscillators with general coupling functions
  Yu TERADA and Yoshiyuki Y. YAMAGUCHI
  Journal of Physics A: Mathematical and Theoretical, 53, 044001 (2020)
  DOI: https://doi.org/10.1088/1751-8121/ab5eaf
  

• Bifurcations of radially symmetric solutions in a coupled elliptic system with critical growth in R^d for d = 3,4
  Kazuyuki YAGASAKI and Tomasz STACHOWIAK
  Journal of Mathematical Analysis and Applications, 484, No. 2, 123726 (2020)
  DOI: 10.1016/j.jmaa.2019.123726
  

2019

• Critical exponents in mean-field classical spin systems
  Yoshiyuki Y. YAMAGUCHI, Debraj DAS, and Shamik GUPTA
  Physical Review E 100, No.3, 032131 (2019)
  DOI: 10.1103/PhysRevE.100.032131
  

• Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers
  Kazuyuki YAGASAKI and Shogo YAMANAKA
  Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 15, 049, 17 pages (2019)
  DOI: 10.3842/SIGMA.2019.049
  

• Variational proof of the existence of brake orbits in the planar 2-center problem
  Y. Kajihara and M. Shibayama
  Discrete and Continuous Dynamical Systems-A, 39, No. 10, 5785-5797 (2019)
  DOI: 10.3934/dcds.2019254
  

• Variational Construction of Orbits Realizing Symbolic Sequences in the Planar Sitnikov Problem
  M. SHIBAYAMA
  Regular and Chaotic Dynamics 24, No.2, 202-211 (2019)
  DOI: 10.1134/S1560354719020060
  

• Bifurcation of relative equilibria in infinite-dimensional Hamiltonian systems
  Kazuyuki YAGASAKI and Shotaro YAMAZOE
  SIAM Journal on Applied Dynamical Systems 18, No.1, 393-417 (2019)
  DOI: 10.1137/18M1187738
  

2018

• Local integrability of Poincare-Dulac normal forms
  Shogo YAMANAKA
  Regular and Chaotic Dynamics 23, No.7-8, 933-947 (2018)
  DOI: 10.1134/S1560354718070080
  

• Collective $1/f$ fluctuation by pseudo-Casimir-invariants
  Y. Y. YAMAGUCHI and K. KANEKO
  Physical Review E 98, No.2, 020201(R) (2018)
  DOI: 10.1103/PhysRevE.98.020201
  

• Heteroclinic transition motions in periodic perturbations of conservative systems with an application to forced rigid body dynamics
  Kazuyuki YAGASAKI
  Regular and Chaotic Dynamics 23, No.4, 438-457 (2018)
  DOI: 10.1134/S1560354718040056
  

• Linear stability of periodic three-body orbits with zero angular momentum and topological dependence of Kepler's third law: a numerical test
  V Dmitrašinović , Ana Hudomal, Mitsuru Shibayama and Ayumu Sugita
  Journal of Physics A: Mathematical and Theoretical 51, No. 31, 315101 (2018)
  DOI:10.1088/1751-8121/aaca41
  

• Low-frequency discrete breathers in long-range systems without on-site potential
  Y. Y. YAMAGUCHI and Y. DOI
  Physical Review E 97, No.6, 062218 (2018)
  DOI: 10.1103/PhysRevE.97.062218
  

• Melnikov processes and chaos in randomly perturbed dynamical systems
  Kazuyuki YAGASAKI
  Nonlinearity 31, No.7, 3057-3085 (2018)
  DOI: 10.1088/1361-6544/aab89f
  

• Nonintegrability of parametrically forced nonlinear oscillators
  Shoya MOTONAGA and Kazuyuki YAGASAKI
  Regular and Chaotic Dynamics 23, No.3, 291-303 (2018)
  DOI: 10.1134/S156035471803005X
  

• Non-integrability of the spacial n-center problem
  M. SHIBAYAMA
  J. Differential Equations 265, No. 6, 2461-2469 (2018)
  DOI: 10.1016/j.jde.2018.04.037
  

• Nonintegrability of the unfolding of the fold-Hopf bifurcation
  Kazuyuki YAGASAKI
  Nonlinearity 31, No.2, 341-350 (2018)
  DOI: 10.1088/1361-6544/aa92e8
  

2017

• Nondivergent and negative susceptibilities around critical points of a long-range Hamiltonian system with two order parameters
  Y. Y. YAMAGUCHI and D. SAWAI
  Physical Review E 95, No.5, 052148 (2017)
  DOI: 10.1103/PhysRevE.95.052148
  

• Nonintegrability of dynamical systems with homo- and heteroclinic orbits
  Kazuyuki YAGASAKI and Shogo YAMANAKA
  J. Differential Equations 263, No. 2, 1009–1027 (2017)
  DOI: 10.1016/j.jde.2017.03.006

• Periodic solutions for a prescribed-energy problem of singular Hamiltonian systems
  M. Shibayama
  Discrete and Continuous Dynamical Systems - Series A,
  Volume 37, No. 5, 2705 - 2715(2017)
  DOI: 10.3934/dcds.2017116

• Rough external feedback control of microcantilevers in atomic force microscopy
  Kazuyuki YAGASAKI
  Nonlinear Dynamics 87, No. 4, 2335-2343 (2017)
  DOI: 10.1007/s11071-016-3193-3

• Nonstandard transitions in the Kuramoto model: a role of asymmetry in natural frequency distributions
  Y. TERADA, K. ITO, T. AOYAGI and Y. Y. YAMAGUCHI
  Journal of Statistical Mechanics: Thoery and Experiment (2017) 013403
  DOI: 10.1088/1742-5468/aa53f6
  

2016

• Strange scaling and relaxation of finite-size fluctuation in thermal equilibrium
  Y. Y. YAMAGUCHI
  Physical Review E 94, No.1, 012133 (2016)
  DOI: 10.1103/PhysRevE.94.012133
  

• Trapping scaling for bifurcations in the Vlasov systems
  J. BARRÉ, D. MÉTIVIER and Y. Y. YAMAGUCHI
  Physical Review E 93, No.4, 042207 (2016)
  DOI: 10.1103/PhysRevE.93.042207
  

• Three topologically nontrivial choreographic motions of three bodies
  M. ŠUVAKOV and M. SHIBAYAMA
  Celestial Mechanics and Dynamical Astronomy 124, 155-162 (2016)
  DOI: 10.1007/s10569-015-9657-9
  

2015

• Conditions for predicting quasistationary states by rearrangement formula
  Yoshiyuki Y. YAMAGUCHI and Shun OGAWA
  Physical Review E 92, No.4, 042131 (2015)
  DOI: 10.1103/PhysRevE.92.042131
  

• Nondiagonalizable and nondivergent susceptibility tensor in the Hamiltonian mean-field model with asymmetric momentum distributions
  Yoshiyuki Y. YAMAGUCHI
  Physical Review E 92, No.3, 032109 (2015)
  DOI: 10.1103/PhysRevE.92.032109
  

• On the neighborhood of an inhomogeneous stable stationary solution of the Vlasov equation - Case of an attractive cosine potential
  Julien BARRÉ and Yoshiyuki Y. YAMAGUCHI
  Journal of Mathematical Physics 56, No.8, 081502 (2015)
  DOI: 10.1063/1.4927689
  

• Landau like theory for universality of critical exponents in quasistatioary states of isolated mean-field systems
  Shun OGAWA and Yoshiyuki Y. YAMAGUCHI
  Physical Review E 91, No.6, 062108 (2015)
  DOI: 10.1103/PhysRevE.91.062108
  

2014

• Horseshoes for the nearly symmetric heavy top
  G.H.M. van der HEIJDEN and Kazuyuki YAGASAKI
  Journal of Applied Mathematics and Physics 65, 221-240 (2014)
  DOI: 10.1007/s00033-013-0319-z
  

• Dynamical pattern formation in two-dimensional fluids and Landau pole bifurcation
  Shun OGAWA, Julien BARRÉ, Hidetoshi MORITA and Yoshiyuki Y.YAMAGUCHI
  Physical Review E 89, No.6, 063007 (2014)
  DOI: 10.1103/PhysRevE.89.063007
  

• Nonlinear response for external field and perturbation in the Vlasov system
  Shun OGAWA and Yoshiyuki Y. YAMAGUCHI
  Physical Review E 89, No.5, 052114 (2014)
  DOI: 10.1103/PhysRevE.89.052114
  

• Non-mean-field critical exponent in a mean-field model: Dynamics versus statistical mechanics
  Shun OGAWA, Aurelio PATELLI, and Yoshiyuki Y. YAMAGUCHI
  Physical Review E 89, No.3, 032131 (2014)
  DOI: 10.1103/PhysRevE.89.032131

2013

• Spectral and formal stability criteria of spatially inhomogeneous stationary solutions to the Vlasov equation for the Hamiltonian mean-field model
  Shun OGAWA
  Physical Review E 87, No.6, 062107 (2013)
  DOI: 10.1103/PhysRevE.87.062107

• On algebraic damping close to inhomogeneous Vlasov equilibria in multi-dimensional spaces
  Julien BARRÉ and Yoshiyuki Y. YAMAGUCHI
  Journal of Physics A: Mathematical and Theoretical 46, No.22, 225501 (2013)
  DOI: 10.1088/1751-8113/46/22/225501

• Absence of thermalization for systems with long-range interactions coupled to a thermal bath
  Pierre De BUYL, Giovanni De NINNO, Duccio FANELLI, Cesare NARDINI, Aurelio PATELLI, Francesco PIAZZA and Yoshiyuki Y. YAMAGUCHI
  Physical Review E 87, No.4, 042110 (2013)
  DOI: 10.1103/PhysRevE.87.042110

• A Riemannian Optimization Approach to the Matrix Singular Value Decomposition
  H. SATO and T. IWAI
  SIAM J. Optim. 23, No.1, 188-212 (2013)
  DOI: 10.1137/120872887

2012

• Linear response theory in the Vlasov equation for homogeneous and for inhomogeneous quasistationary states
  Shun OGAWA and Yoshiyuki Y. YAMAGUCHI
  Physical Review E 85, No.6, 061115 (2012)
  DOI: 10.1103/PhysRevE.85.061115
  

2011

• Precise determination of the nonequilibrium tricritical point based on Lynden-Bell theory in the Hamiltonian mean-field model
  Shun OGAWA and Yoshiyuki Y. YAMAGUCHI
  Physical Review E 84, No.6, 061140 (2011)
  DOI: 10.1103/PhysRevE.84.061140