K. Kaneko's papers on Dynamical Systems (High-dimentional Chaos, )


 

4.1 Globally Coupled Map, High-dimensional Chaos, Network Dynamics

K. Kaneko " Chaotic but Regular Posi-nega Switch among Coded Attractors by Cluster Size Variation; Phys. Rev. Lett. 63 (1989) 219-224 (pdf file )

K. Kaneko " Clustering, Coding, Switching, Hierarchical Ordering, and Control in Network of Chaotic Elements " Physica 41 D (1990) 137-172 (pdf file )

K. Kaneko, "Globally Coupled Chaos Violates Law of Large Numbers", Phys. Rev. Lett. 65 (1990) 1391-1394 (pdf file )

K. Kaneko, "Partition Complexity in Network of Chaotic Elements", J. Phys. A 24 (1991) 2107-2119 (pdf file )

K. Kaneko, "Globally Coupled Circle Maps", Physica 54 D (1991) 5-19 (pdf file )

K. Kaneko, "Mean field flctuation of a network of chaotic elements", Physica 55 D (1992) 368-384 (pdf file )

K. Kaneko, "Relevance of Clustering to Biological Networks", Physica 75 D (1994) 55-73 (pdf file )

Kunihiko Kaneko, "Information Cascade with Marginal Stability in a Network of Chaotic Elements", Physica D 77 (1994) 456-472 (pdf file )

Kunihiko Kaneko, "Remarks on the mean field dynamics of networks of chaotic elements", Physica 86 D (1995) 158-170 (pdf file )

T. Shibata and K. Kaneko,"Heterogeneity Induced Order in Globally Coupled Chaotic Systems", Europhys. Lett. 38(6) (1997) 417-422(pdf file )

Kunihiko Kaneko, "Coupled Maps with Growth and Death: An Approach to Cell Differentiation", Physica103D(1997)505-527 (pdf file )

Kunihiko Kaneko, "Dominance of Milnor Attractors and Noise-induced Selection in a Multi-attractor System", Phys. Rev. Lett, 78 (1997) 2736-2739 (pdf file )

T. Shibata and K. Kaneko, "Collective Chaos", Phys. Rev. Lett., 81(1998) 4116-4119
(pdf file )

T. Shibata and K. Kaneko "Tongue-Like Bifurcation Structures of The Mean-Field Dynamics in a Network of Chaotic Elements", Physica D, 124 (1998) 177-200(pdf file )

Tatsuo Shibata, Tsuyoshi Chawanya, and Kunihiko Kaneko "Noiseless Collective Motion out of Noisy Chaos"to appear in Physical Review Letters, 82(1999) 4424-4427 (pdf file )

K. Kaneko ``On the Strength of Attractors in a High-dimensional System: Milnor Attractor Network, Robust Global Attraction, and Noise-induced Selection", Physica D, 124(1998)322-344 (pdf file )

N.B. Ouchi and K. Kaneko ``Coupled Map with Local and Global interactions", Chaos 10 (2000) 359-365

Junji Ito and Kunihiko Kaneko, ``Self-organized hierarchical structure in a plastic network of chaotic units" Neural Networks, 13 (2000) 275-281, (also available at http://arXiv.org/abs/cond-mat/9911416)

K. Kaneko " Dominance of Minlnor attractors in Globally Coupled Dynamical Systems with more than 7 +- dehgrees of freedom (retitled from `Magic Number 7 +- 2 in Globally Coupled Dynamical Systems') " Phys. Rev. E.66, 055201(R) 2002 (pdf file )

J. Ito and K. Kaneko " Spontaneous structure formation in a network of chaotic units with variable connection strengths " Phys. Rev. Lett., 88 (2002) 028701-1 (pdf file )

T. Shibata and K. Kaneko " Coupled Map Gas: structure formation and dynamics of interacting mobile elements with internal dynamics " Physica D 181(2003) 197-214 (pdf file )

J. Ito and K. Kaneko " Spontaneous structure formation in a network of dynamic elements " Phys Rev E 67 (2003) 046226 (pdf file )

S. Ishihara and K. Kaneko"Magic number 7 $\pm$ 2 in networks of threshold dynamics", Phys. Rev. Lett., 94(2005) 058102 PDF


 

4.2 Hamiltonian systems

H. Morita and K. Kaneko, "Collective oscillation in a Hamiltonian dynamical system" Phys. Rev. Lett.96 (2006) 050602PDF

H. Morita and K. Kaneko" Roundabout relaxation: collective excitation requires a detour to equilibrium " ,Phys. Rev. Lett., 94 (2005) 087203 PDF gzipped PS

H. Morita and K. Kaneko " Self-Organized Bottleneck in Energy Relaxation " Europhys. Lett., 66(2003) 198-204 (pdf file )

K. Kaneko and R.J. Bagley " `` Arnold Diffusion, Ergodicity, and Intermittency in Coupled Standard Mapping" ", Phys. Lett. 110A (1985) 435-440 (pdf file )

K. Kaneko and T. Konishi" Transition, Ergodicity and Lyapunov Spectra of Hamiltonian Dynamical Systems" ", J. Phys. Soc. Jpn. 56 (1987) 2993-2996 (pdf file )

K. Kaneko" Symplectic Cellular Automata", Phys.Let. A 129-1 (1988) 9-16 (pdf file )

K. Kaneko and T. Konishi," Diffusion in Hamiltonian Dynamical Systems", Phys. Rev. 40 A (1989) 6130

K. Kaneko and T. Konishi," Diffusion in Hamiltonian Chaos and Its System Size Dependence", J. Phys. A 23 (1990) 715-720

T. Konishi and K. Kaneko, "Clustered Motion in Symplectic Coupled Map Systems", J. Phys. A 25 (1992) 6283-6296 (pdf file )

K. Kaneko and T. Konishi, "Peeling the Onion of Order and Chaos in a High-dimensional Hamiltonian System", Physica D 71 (1994) 146-167 (pdf file )

Naoko Nakagawa and Kunihiko Kaneko, ``Energy Storage in a Hamiltonian System in Partial Contact with a Heat Bath", J. Phys. Soc. Jpn. 69 (2000) 1255-1258, (pdf file )

N. Nakagawa and K. Kaneko, "Relaxation, the Boltzmann-Jeans Conjecture and Chaos"" Phys. Rev. E 64., (2001) 055205(R)-209 (pdf file )


 

4.3 Coupled Map Lattice and Spatiotemporal Chaos

K. Kaneko " Period-doubling of Kink-antikink Patterns, Quasi-periodicity in Antiferro-like Structures and Spatial Intermittency in Coupled Map Lattices --- toward a prelude to a ``Field Theory of Chaos"---", " Prog. Theor. Phys. 72 (1984) 480-486 (pdf file )

K. Kaneko " Spatial Period-doubling in Open Flow " Phys. Lett. 111A (1985) 321-325 (pdf file )

K. Kaneko " Spatiotemporal Intermittency in Coupled Map Lattices " Prog. Theor. Phys. 74 (1985) 1033-1044 (pdf file )

K. Kaneko " Lyapunov Analysis and Information Flow in Coupled Map Lattices " Physica 23D (1986) 436-447 (pdf file )

K. Kaneko " Velocity Dependent Lyapunov Exponent as a Measure of Chaos for Open Flows " Phys. Lett. 119A (1987) 397-402 (pdf file )

J. P. Crutchfield and K. Kaneko, ``Phenomenology of Spatiotemporal Chaos", in {\sl Directions in Chaos} (World Scientific, 1987) 272-353 (pdf file )

J.P. Crutchfield and K. Kaneko, ``Are Attractors Relevant to Turbulence?", Phys. Rev. Lett. 60 (1988) 2715-2718

K. Kaneko, ``Pattern Dynamics in Spatiotemporal Chaos", Physica 34D (1989) 1-41 (pdf file )

G. Mayer-Kress and K. Kaneko, ``Spatiotemporal Chaos and Noise", J. Stat. Phys., 54 (1989) 1489

K. Kaneko, ``Spatiotemporal Chaos in One- and Two- Dimensional Coupled Map Lattices", Physica 37 D (1989) 60-82

K. Kaneko ``Self-consistent Perron-Frobenius Operator for Spatiotemporal Chaos", Phys. Lett. 139 A (1989) 47-52

K. Kaneko ``Towards Thermodynamics of Spatiotemporal Chaos", Prog. Theor. Phys. Suppl. 99 (1989), 263-287 (pdf file )

K. Kaneko, "Simulating Physics with Coupled Map Lattices ------ Pattern Dynamics, Information Flow, and Thermodynamics of Spatiotemporal Chaos", pp1-52 in Formation, Dynamics, and Statistcs of Patterns ed. K. Kawasaki A. Onuki and M. Suzuki World. Sci. 1990 (pdf file )

K. Kaneko, "Supertransients, spatiotemporal intermittency and stability of fully developed spatiotemporal chaos", Phys.Lett.149 A(1990)105-112 (pdf file )

K. Kaneko, "Global Travleing Wave Triggered by Local Phase Slips", Phys. Rev. Lett. 69 (1992) 905-908 (pdf file )

K. Kaneko, "Propagation of disturbance, co-moving Lyapunov exponent and path summation", Phys. Lett. 170 (1992) 210-216 (pdf file )

F.H. Willeboordse and K. Kaneko, "Bifurcations and Spatial Chaos in an Open Flow Model", Phys. Rev. Lett. 73 (1994) 533-536 (pdf file )

F.H. Willeboordse and K. Kaneko, "Periodic Lattices of Chaotic Defects", Phys. Rev. E, 52 (1995) 1516-1519 (pdf file )

T. Yanagita and K. Kaneko, "Rayleigh-Benard Convection: Pattern, Chaos, Spatiotemporal Chaos and Turbulence", Physica 82 D (1995) 288-313

F.H. Willeboordse and K. Kaneko, "Pattern Dynamics of a Coupled Map Lattice for Open FLow", Physica 86D (1995) 428-455

Tatsuo Yanagita and Kunihiko Kaneko, "Modeling and Characterization of Cloud Dynamics", Phys. Rev. Lett.78(1997) (pdf file )

S. Ishihara and K. Kaneko " Simple dynamical system model of history dependent phenomena " J. Phys. Soc. Jpn, 71 (2002) 2357-2360 (pdf file )


 

4.4 Chaos

K. Kaneko " Similarity Structure and Scaling Property of the Period-Adding Phenomena ``, Prog. Theor. Phys. 69 (1983) 403-414 (pdf file )

K. Kaneko " Doubling of Torus", Prog. Theor. Phys. 69 (1983) 1806-1810 " (pdf file )

K. Kaneko " Transition from Torus to Chaos Accompanied by the Frequency Locking with Symmetry Breaking -- In Connection with the Coupled Logistic Map", Prog. Theor. Phys. 69 (1983) 1427-1442 (pdf file )

K. Kaneko " Fractalization of Torus", Prog. Theor. Phys. 71 (1984) 1112-1115 (pdf file )


 

4.5 Other topics (incluing CA, stochastic process)

K. Kaneko " ``Adiabatic Elimination by the Eigenfunction Expansion Method"; Prog. Theor. Phys. 66 (1981) 129-142 (pdf file )

K. Kaneko " Attractors, Basin Structures, and Information Processing in Cellular Automata" in {\sl Theory and Applications of CA} (Wotld Sci., 1986, ed S. Wolfram) 367-399 (pdf file )

Y. Aizawa, I. Nishikawa, and K. Kaneko " Soliton Turbulence in Cellular Automata", Physica 45D (1990), 307-327 (pdf file )

Y. Mori K. Kaneko and M. Wadati, "Fracture Dynamics by Quenching I. Crack Patterns", J. Phys. Soc. Jpn. 60 (1991) 1591-1599

Y. Tanabe and K. Kaneko, "Dynamical Behaviors of A Falling Paper", Phys. Rev. Lett. 73 (1994) 1372-1375 (pdf file )





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